A regulation basketball has a 47 cm diameter and may be approximated as a thin spherical shell.
How long will it take a basketball starting
from rest to roll without slipping 3.5 m down
an incline that makes an angle of 80.6◦ with
the horizontal? The acceleration of gravity is 9.81m/s^2
Answer in units of s.

Answers

Answer 1
Final answer:

To find how long it takes for a basketball to roll down a 3.5m incline at an angle of 80.6°, calculate the component of gravitational acceleration along the incline and use the kinematic equation for motion. The basketball takes approximately 0.85 seconds to roll down the incline.

Explanation:

The question deals with the motion of a basketball rolling down an incline. The key to solving this problem is to use the concepts of rotational motion together with Newton's laws of motion. Given the incline angle is 80.6° to the horizontal and the acceleration due to gravity is 9.81 m/s2, we can determine the component of gravitational acceleration that acts along the slope. This component is g sin(θ), with θ representing the angle, which causes the acceleration of the ball down the slope.

Since the basketball is a spherical shell it has a moment of inertia I = 2/3 m r2, where m is the mass and r is the radius of the sphere. However, without the mass of the basketball, we'll approach this by determining the translational acceleration a = g sin(θ), using the formula for the acceleration of an object down an incline. Knowing the distance (s = 3.5 m) it rolls without slipping, and starting from rest, we can use the kinematic equation s = 1/2 a t2 to solve for t, the time taken.

Calculating the acceleration component: a = 9.81 * sin(80.6°) = 9.67 m/s2. Then, we use the equation 3.5 = 1/2 * 9.67 * t2 to find t. Solving for t yields approximately 0.85 seconds.

Answer 2

Using rotational and translational motion principles, the basketball takes approximately 0.85 seconds to roll without slipping down the 80.6-degree incline.

To determine the time it takes for the basketball to roll without slipping down the incline, consider both rotational and translational motion.

Step 1: Calculate the effective radius of the basketball on the incline:

R_eff = (D/2) * sin(theta), given the diameter D of the basketball (47 cm) and the incline angle (theta) of 80.6 degrees.

Step 2: Calculate the linear acceleration down the incline:

a = g * sin(theta), given the acceleration due to gravity (g) as 9.81 m/s².

Step 3: Use the kinematic equation for linear motion to find the time (t):

t = sqrt(2h/a), given the height (h) the basketball descends down the incline is 3.5 m.

Step 4: Substitute the values into the equation and solve for t:

R_eff = (0.47/2) * sin(80.6 degrees) ≈ 0.235 m,

a = 9.81 * sin(80.6 degrees) ≈ 9.7 m/s²,

t = sqrt(2 * 3.5 / 9.7) ≈ sqrt(7 / 9.7) ≈ sqrt(0.7216) ≈ 0.85 s.

So, it will take approximately 0.85 seconds for the basketball to roll without slipping down the incline.


Related Questions

The centripetal force of an object moving in a circle varies jointly with the mass of the object and the square of its velocity and
inversely as the radius of the circle. A 7-gram object moving in a circle with a radius of 25 centimeters and at velocity of
20 centimeters per second has a centripetal force of 112 dynes. Find the radius of the circle (in cm) on which of a 17-gram
object moving in a circle travels with velocity of 40 centimeters per second and the force on the object is 5,440 dynes. ​

Answers

Answer:

5 cm

Explanation:

Centripetal force varies directly with mass and the square of velocity, and inversely with radius.  If k is the constant of proportionality:

F = k m v² / r

When m = 7 g, v = 20 cm/s, and r = 25 cm, then F = 112 dynes.  Solving for k:

112 = k (7) (20)² / 25

k = 1

When m = 17 g, v = 40 cm/s, and F = 5440 dynes:

5440 = 1 (17) (40)² / r

r = 5

The radius is 5 cm.

The radius of the circle is 5 cm.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given that: The centripetal force of an object moving in a circle varies jointly with the mass of the object and the square of its velocity and

inversely as the radius of the circle.

So, F ∝ mv²/r

F = kmv²/r.

In first case:

Mass of the object; m = 7 gram.

Radius of the circle; r = 25 cm.

Velocity of the object : v =20 cm/s.

And centripetal force: F = 112 dyne.

So, 112 = k 7×20²/25

⇒ k = 1.

In second case:

Mass of the object; m = 17 gram.

Velocity of the object : v =40 cm/s.

And centripetal force: F = 5440 dyne.

Radius of the circle; r =?

So, 5440 = 1×17 ×40²/r

⇒ r = 5 cm.

Hence  the radius of the circle is 5 cm.

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What is the force in units of newtons of a 40 pound object?

Answers

Answer:

Explanation:

Given:

Mass of the object = [tex]40[/tex] pound

We have to calculate force (N).

Newton = [kg.ms^-2]=[MLT^-2]

So we have to convert the units.

[tex]1[/tex] pound = [tex]0.45[/tex] kg

[tex]40[/tex] pound = [tex]0.45\times 40 = 18.14[/tex] kg

Here Force and Weight are equivalent as the object is in stationary state.

Weight= product of mass and gravity.

Value of g = 9.8 ms^-2

Force = [tex]m\times g[/tex]

So the force of the object in (N) = [tex]18.4\times 9.8[/tex]

                                                     = [tex]177.77\ N[/tex]

The force in units of Newtons = 177.77

Greg is in a bike race. At mile marker four (out of ten), his speed was measured at 13.5 mph.

Which best describes the measured number?

It is the average speed of the bike rider.
It is the instantaneous speed of the bike rider.
It is the instantaneous velocity of the bike rider.
It is the average velocity of the bike rider.

Answers

Answer:

B: it is the instantaneous speed of the bike rider.

Explanation:

keep it going....

Answer:

B It is the instantaneous speed of the bike rider.

Explanation:

I took  the test

The two imaginary lines of latitude that are farthest from the equator are called the
----- and the​

Answers

North Pole and South Pole.

A wire 0.57 m long carrying a current of 9.7 A
is at right angles to a uniform magnetic field.
The force on the wire is 0.49 N.
What is the strength of the magnetic field?
Answer in units of T

Answers

The strength of the magnetic field is 0.089 T

Explanation:

The force caused by a magnetic field on a current-carrying wire is given by the equation

[tex]F=ILB sin \theta[/tex]

where

I is the current in the wire

L is the length of the wire

B is the strength of the magnetic field

[tex]\theta[/tex] is the angle between the direction of the field and the wire

In this problem, we have

L = 0.57 m

I = 9.7 A

F = 0.49 N

[tex]\theta=90^{\circ}[/tex] since the wire is perpendicular to the field

Solving for B, we find the strength of the field:

[tex]B=\frac{F}{ILsin \theta}=\frac{0.49}{(9.7)(0.57)(sin 90^{\circ})}=0.089 T[/tex]

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The gravitational force between two objects is 2400 N. What will be the gravitational force between the objects if the mass of one object is doubled?

Answers

Answer:

4800N

Explanation:

F=GmM/r^2

F=infinite m

F=2F

=2(2400N)

=4800N

Answer:4800 N

Explanation: you just multiply

A boat's motor pushes with 25 N of force and viscous
friction resists with 5 N. If the boat is 100 kg, find its
acceleration.

Answers

Answer:0.2m/s^2

Explanation: newton's first law of motion: F=ma. Fnet=applied force-frictional force. Therefore, Fnet=ma. Make "a" the subject of the formula which will result a=(Fappl-Frict)m.

Therefore a=(25-5)N/100kg

a= 20/100

a= 0.2m/s^2

A boat's motor exerts 25 N of force, while viscous friction exerts 5 N. The boat's acceleration is 0.2m/s² if it weighs 100 kg.

What is newtons first law?Newton's first law states that if a body is at rest or moving in a straight line at a constant speed, it will continue to move or remain at rest until acted upon by a force.Newton's laws of motion imply a relationship between an object's motion and the forces acting on it. The first law states that an object's motion will not change unless a force acts on it.F = ma is Newton's first law of motion. Fend = frictional force plus applied force. As a result, Fend = ma. Make "a" the subject of the formula, resulting in a = (Fappl-Frict)m.

Therefore a = (25-5)N/100kg

a = 20/100

a = 0.2m/s²

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How does pressure affect surface tension

Answers

the effect of pressure on surface tension can be attributed in part to absorption of gas at the surface of the liquid and in part to an intrinsic decrease in density of the liquid in the neighborhood of the surface.

In the case of liquids , Owing to contact forces between the edge of the surface and the vessel, the surface acquires a curvature, and if the liquid rises up at the edges where it meets the vessel, the pressure will be less in the liquid than in the air, for points just below and just above the surface. The vessel exerts an upward force on the liquid. This is simply a matter of looking at the directions of forces acting, knowing that the surface is under tension.

The catastrophic event shown in this picture formed over water, produced high winds and heavy rains, and brought a large storm surge to New Orleans. The natural disaster displayed in this picture is a:

Group of answer choices

volcano

hurricane.

water spout.

continental drift

Answers

the answer is a hurricane bc water spout is not a natural disaster and the other options don’t need water

Answer:

the answer is b.

Explanation:

cause i took the test

in loading a lorry, a man lifts boxes each of weight 100N through a height of 1.5m.
How much work does he do in lifting one box?
Work done =

Answers

Answer:

The amount of work done in order to lift the box is [tex]150\ Joule[/tex]

Explanation:

Given the weight of each box is [tex]100N[/tex]

And the man lifts boxes at a height of [tex]1.5m[/tex]

We need to find the amount of work done.

The amount of work done is the product of applied force [tex]F[/tex] that causes the displacement [tex]d[/tex].

In our problem force is [tex]100N[/tex] and displacement is  [tex]1.5m[/tex].

Now, work done

[tex]=force\times displacement\\=100\times1.5\\=150\ Joule[/tex]

So, the amount of work done in order to lift the box is [tex]150\ Joule[/tex]

A radar station sends out a 250000 Hz sound wave at a speed of 340 m/s. The sound wave bounces off a weather ballon and returns back to the radar station in 4.8s at a frequency of 240000 hz. How far away from the radar station is the ballon and what direction is it moving?

Answers

Answers:

a)The balloon is 68 m away of the radar station

b) The direction of the balloon is towards the radar station

Explanation:

We can solve this problem with the Doppler shift equation:

[tex]f'=\frac{V+V_{o}}{V-V_{s}} f[/tex]  (1)

Where:

[tex]f=250,000 Hz[/tex] is the actual frequency of the sound wave

[tex]f'=240,000 Hz[/tex] is the "observed" frequency

[tex]V=340 m/s[/tex] is the velocity of sound

[tex]V_{o}=0 m/s[/tex] is the velocity of the observer, which is stationary

[tex]V_{s}[/tex] is the velocity of the source, which is the balloon

Isolating [tex]V_{s}[/tex]:

[tex]V_{s}=\frac{V(f'-f)}{f'}[/tex]  (2)

[tex]V_{s}=\frac{340 m/s(240,000 Hz-250,000 Hz)}{240,000 Hz}[/tex]  (3)

[tex]V_{s}=-14.16 m/s[/tex] (4) This is the velocity of the balloon, note the negative sign indicates the direction of motion of the balloon: It is moving towards the radar station.

Now that we have the velocity of the balloon (hence its speed, the positive value) and the time ([tex]t=4.8 s[/tex]) given as data, we can find the distance:

[tex]d=V_{s}t[/tex] (5)

[tex]d=(14.16 m/s)(4.8 s)[/tex] (6)

Finally:

[tex]d=68 m[/tex] (8) This is the distance of the balloon from the radar station

NEED HELPP ASAP!!!!
This is when opposite poles of a magnet move toward each other and toward certain types of materials.

Answers

the answer is attraction

An 800-N man stands at rest on two bathroom scales so that his weight is distributed evenly over both scales. The reading on each scale is

Answers

400 N

The weight of the man is evenly distributed on each scale

Final answer:

The man's total weight of 800-N, when distributed equally over two bathroom scales, will result in each scale reading 400-N.

Explanation:

The man's total weight is 800-N and he is standing on two scales, with his weight distributed evenly. This means each scale will bear half of the total weight. Therefore, the reading on each scale will be 800-N divided by 2. That calculation yields a result of 400-N per scale. So each bathroom scale will show a weight of 400-N, assuming the weight distribution remains equals.

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What are the factors affecting surface tension

Answers

Explanation:

Factors affecting surface tension includes;

There are three factors that affect surface tension.

Temperature- the surface tension of a liquid decreases with increase in temperature.

Soluble impurities - the presence of soluble impurities may increase or decrease the surface tension.

Insoluble impurities- insoluble impurities decrease the surface tension.

Which the following statements about the force of friction is true?

A. Friction acts in the direction opposite to weight.

B. Friction acts in the same direction as the normal force.

C. Friction acts in the same direction as weight.

D. Friction acts in the direction opposite to an object's motion.


Who knows how to do this?

Answers

Answer:

yes it is D

Explanation:

The following statements true about the force of friction is Friction acts in the direction opposite to an object's motion. The correct option is D.

What is frictional force?

When an object is moving on a rough surface, it experiences opposition. This opposing force is called the friction force.

When an object experiences force, it moves in the direction of force, but opposed due to roughness of the surface. This opposition offered is opposite to the force applied. Their directions are opposite to each other.

Thus, the correct option is D.

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What subjects combine to make the field of physical science?
Biology and Physics
Chemistry and Biology
Physics and Chemistry
Earth Science and Chemistry

Answers

Final answer:

The field of physical science mainly combines the subjects of Physics and Chemistry, with significant interdisciplinary overlap where these subjects connect with others like Biology and Earth Science. Chemistry, serving as the 'central science,' bridges various areas within the physical and life sciences.

Explanation:

The field of physical science primarily combines the subjects of Physics and Chemistry. Physical science is a broad term that encompasses various sciences dealing with inanimate natural objects and the laws that govern them. It is distinct from the life sciences (like Biology), which concern living organisms. In the interdisciplinary nature of scientific study, there is significant overlap among various fields; Chemistry is often termed the "central science" due to its integral role in connecting physical, earth, and life sciences. Fields such as biochemistry combine principles of Biology and Chemistry, while geophysics might combine Geology with Physics.

Earth Science and Chemistry also have significant overlap, for example in geochemistry. However, when referring specifically to the major branches that make up physical sciences, Physics and Chemistry are the core focus. Additionally, mathematics plays a crucial role across all scientific disciplines, as it provides the language in which scientific laws and phenomena are expressed. This interconnected nature of sciences leads to the creation of various interdisciplinary fields, illustrating the difficulty in drawing distinct boundaries between each scientific discipline.

The equation used to find acceleration is a = ____.

Answers

Answer: a= fnet/m

Explanation:

a = (v - u)/t

It is the formula for finding acceleration

Ceres has an orbital semi-major axis = 2.768 AU. What is Ceres’ orbital period?

Answers

Answer: 4.6 years

Explanation:

According to Kepler’s Third Law of Planetary motion “The square of the orbital period [tex]T[/tex] of a planet is proportional to the cube of the semi-major axis [tex]a[/tex] (size) of its orbit”:

[tex]T^{2}\propto a^{3}[/tex] (1)  

However, if [tex]T[/tex] is measured in Earth years, and [tex]a[/tex] is measured in astronomical units (unit equivalent to the distance between the Sun and the Earth), equation (1) becomes:  

[tex]T^{2}=a^{3}[/tex] (2)  

Knowing [tex]a=2.768 AU[/tex] and isolating [tex]T[/tex] from (2):  

[tex]T=\sqrt{a^{3}}[/tex] (3)  

[tex]T=\sqrt{(2.768 AU)^{3}}[/tex] (4)  

Finally:  

[tex]T=4.6 years[/tex] This is Ceres' orbital period

Choose the best description of a magnetic field line.
O
A. A magnetic field line shows the direction a positive charge would
move.
O
B. Magnetic field lines for a bar magnet are parallel to the magnet.
O
C. Magnetic field lines always point north.
O
D. A magnetic field line shows the direction a compass needle would
point.
SUBMIT

Answers

Answer:

D

Explanation:

If someone has to find the direction of the magnetic field lines, they would have to keep a compass near it, then it's north pole would show the direction.

Thank you. If u have further inquiries feel free to ask me.

I hope u will follow me and make this the brainliest.

With love,

Joel

The best description of a magnetic field line is option D. A magnetic field line shows the direction a compass needle would point.

What are the magnetic field lines?

Magnetic field traces are the strains in a magnetic discipline the tangent of which at any factor will give the sector route at that point and its density offers the value of the sphere. few properties of magnetic field lines:-

Magnetic subject traces do not intersect each other.

⇒  They emerge from the north pole and merge/end at the south pole.

⇒ They flow from the north pole to the south pole outdoor the fabric and from the south pole to the north pole within a material.

⇒these lines formed are cl

osed curves.

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If a swimmer is traveling at a constant speed of 0.85 m/s, how long would it take to swim the length of a 50-meter Olympic-sized pool?​

Answers

Answer:

It takes 58.8 seconds to swim the length of a olympic-sized pool.

Explanation:

Uniform Velocity Motion

It describes the situation when an object moves in such a way that it travels equal distances at equal times in the same direction. For example, if it travels x=50 m in t=10 seconds and later it travels x=200 m in t=40 seconds, its speed is constant and equal to v=5 m/s. The relation between the variables x,t, and v is

[tex]x=v.t[/tex]

We know a swimmer is traveling at a constant speed of 0.85 m/s. We are required to find how long would it take him to swim the length of an x=50-meter Olympic-sized pool.

From the above equation, we solve for t

[tex]\displaystyle t=\frac{x}{v}[/tex]

[tex]\displaystyle t=\frac{50\ m}{0.85\ m/s}[/tex]

[tex]\boxed{t=58.8\ s}[/tex]

It takes near 59 seconds to swim the length of a olympic-sized pool

Final answer:

A swimmer would take about 59 seconds to swim the length of a 50-meter Olympic-sized pool when traveling at a constant speed of 0.85 m/s.

Explanation:

The time it takes to cover a specific distance traveling at a constant speed can be calculated using the equation time = distance / speed.

In this question, the swimmer is traveling at a constant speed of 0.85 meters per second and the distance to be covered is a 50-meter Olympic-sized pool. To solve the problem we will use the equation stated above:

time = 50 m / 0.85 m/s = 58.82 seconds approximately.

So, at a constant speed of 0.85 m/s, it would take a swimmer about 59 seconds to swim the length of a 50-meter pool.

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A tablet draws 10.0 A when plugged into a 150-V line. If another tablet has twice as much resistance, what would the current of the second tablet be if plugged into the same line?

0.60 A
1.5 A
5 A
15 A

Answers

Answer:

5A

Explanation:

In case 1, I = 10A, V = 150volt

Using Ohms law, V = IR

R = V/I = 150/10 = 15 ohms

Case 2, when R is double

R = 15 ohms

I = V/R = 150/30 = 5A

Answer:

5 A

Explanation:

How does a roller coaster convert potential energy to kinetic energy and then back to potential energy again and again?

Answers

When the coaster ascends one of the smaller hills that follows the initial lift hill, its kinetic energy changes back to potential energy. In this way, the course of the track is constantly converting energy from kinetic to potential and back again.
Final answer:

Roller coasters convert potential energy into kinetic energy as they go downhill due to gravity which increases their speed. This kinetic energy is converted back into potential energy as they go uphill and slow down. This cycle continues until friction and air resistance slow the roller coaster down.

Explanation:

Roller coasters are an exciting way to experience the conversion of potential energy to kinetic energy and back again. Let's break down this concept in simpler terms.

1. The roller coaster car starts with a high potential energy at the starting point, usually at the top of a hill. The car gets this energy from the work done by the machines that lift it up to this starting height.

2. As the roller coaster starts to move down the slope, this potential energy begins to convert into kinetic energy. The potential energy decreases while the kinetic energy increases - this is due to the car's increased speed due to gravity pulling it downhill.

3. At the lowest point of the track, the car has the maximum kinetic energy and minimum potential energy.

4. When the car again starts to climb up another smaller hill, the kinetic energy is converted back into potential energy as the car slows down and gains height.

5. In a frictionless situation, this process would continue without end. However, in reality, some energy is lost due to friction and air resistance, and that's why roller coasters eventually come to a stop.

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Down syndrome most often occurs when _____.

A: a person inherits a recessive allele

B: blood fails to clot properly

C: sickle-shaped cells become stuck in blood vessels

D: chromosomes fail to separate properly during meiosis

Answers

Answer:

D: chromosomes fail to separate properly during meiosis

Explanation:

A student is performing an investigation of energy transformation. She places a 500-gram car at point X on a wooden racetrack.




What would be the most likely outcome of a 700-gram car being placed on the racetrack at starting point X?
Group of answer choices

It would have more kinetic energy at the start, resulting in greater potential energy at the bottom of the track.

It would have more potential energy at the start, resulting in greater kinetic energy at the bottom of the track.

It would have less kinetic energy at the start, resulting in less potential energy at the bottom of the track.

It would have less potential energy at the start, resulting in less kinetic energy at the bottom of the track.

Answers

It would have more kinetic energy at the start, resulting in greater potential energy at the bottom of the track.

Answer: Option A.

Explanation:

The car at the race track will accelerate at point X. It will have more kinetic energy at the start because the car is at the slope and with time it will result in greater potential energy at the bottom.

As we go down towards the bottom of the track, the kinetic energy will get converted into potential energy because here the body starts coming at rest and is not moving.

Answer:

yall its A

Explanation:

what does voltage describe​

Answers

Answer:

Voltage describes the potential difference between the two ends of a conductor and thus , more the voltage , more will be the flow of current through the conductor ( more no of electrons and faster speed).

Explanation:

Voltage represents the potential difference between two ends of a conductor, and so the greater the voltage, the greater the current flow through the wire.

What is ohm’s law?

Ohm's law claims that the voltage across a conductor is directly proportional to the current flowing through it.

Ohm's law claims that the voltage across a conductor is directly proportional to the current flowing through it.

This current-voltage connection may be expressed mathematically as,

The Equation of Ohm's Law

V=IR

Voltage represents the potential difference between two ends of a conductor, and so the greater the voltage, the greater the current flow through the wire.

Hence, Voltage is described as the product of the current and the resistance.

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A ball is projected horizontally from a table 1.0 m high and hits the ground after falling from a time t=0.45s. If the ball travels horizontally a distance x = 3.0 m in that time it’s initial velocity was equal to

Answers

The initial velocity is [tex]6.7 m/s[/tex]

Explanation:

The motion of the ball is a projectile motion, therefore it consists of two independent motions:  

- A uniform motion (constant velocity) along the horizontal direction  

- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction  

In this problem, we just need to analyze the horizontal motion: the horizontal velocity is constant, therefore the horizontal distance travelled is given by

[tex]x=v_x t[/tex]

where

[tex]v_x[/tex] is the horizontal velocity

t is the time of flight

Here we have:

t = 0.45 s

x = 3.0 m

And so solving for [tex]v_x[/tex], we find

[tex]v_x = \frac{3.0}{0.45}=6.7 m/s[/tex]

And since the ball was initially projected horizontally, this is also the initial velocity.

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Final answer:

The initial velocity of the ball is 6.67 m/s.

Explanation:

To determine the initial velocity of the ball, we need to use the horizontal motion equation, which states that the horizontal distance traveled equals the product of the initial velocity and the time of flight. In this case, the horizontal distance traveled is 3.0 m and the time of flight is 0.45 s. Rearranging the equation, we find that the initial velocity is equal to the horizontal distance divided by the time of flight.

Initial velocity = horizontal distance / time of flight = 3.0 m / 0.45 s = 6.67 m/s

Therefore, the initial velocity of the ball is 6.67 m/s.

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need help today please​

Answers

6) True: the car is exerting an equal and opposite force on the truck

7) True: the astronaut can drift back by throwing the tool forward

8) True: the bug exerts an equal and opposite force on you

9) Second Law

Explanation:

6)

This problem can be solved by applying Newton's third law of motion, which states that:

"When an object A exerts a force (action) on another object B, then object B exerts an equal and opposite force (reaction) on object A"

In this problem, we can identify the car and the truck as object A and object B. Here we are told that the truck is exerting a force on the car: therefore, according to Newton's third law, the car is also exerting an equal and opposite force on the truck.

Therefore, the statement is true.

7)

This problem can be also solved by thinking in terms of the Newton's third law of motion.

In fact, at the beginning the astronaut is drifting away from the space station. When he throws away the tool, in the forward direction (away from the space station), he exerts a force on the tool: we can identify this force as the action force, and its direction is away from the space station.

As a result, according to Newton's third law, the tool will also exert a reaction force (equal and opposite) on the astronaut: therefore, the force exerted by the tool on the astronaut is toward the space station, and therefore the astronaut will be pushed back towards the station.

Therefore, the statement is true.

8)

Again, this problem can also be explained using Newton's third law.

In fact, the moment you step on the bug, your foot exerts a force (the action force) on the bug, pushing downward.

As a result, according to Newton's third law, the bug exerts back on you an equal and opposite force (upward). The reason you don't feel this force at all is that your mass is much larger than that of the bug, therefore your acceleration is negligible.

Therefore, the statement is true.

9)

This problem can be explained by using Newton's second law, which states that the net force acting on an object is equal to the product between its mass and its acceleration. Mathematically:

[tex]F=ma[/tex]

where

F is the net force

m is the mass

a is the acceleration

In this problem, the ball slows down as it crosses the field: this means that it has an acceleration (more precisely, a negative acceleration). According to the law, this means also that there is a net, unbalanced force acting on it, in the direction opposite to the motion of the ball. In fact, this force is the force of friction between the ball and the surface.

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Which of the following is a free, cloud-based word processor that
allows you to create, edit and collaborate in real-time with other
users?
Select one:
O Windows
O Google Docs
O Cloud Computing
O Operating System

Answers

C.) Cloud Computing allows you to collaborate with others in real time via the cloud.

The second option G. Docs is a free, cloud-based word processor that allows you to create, edit, and collaborate in real-time with other users.

Which of the following is a free, cloud-based word processor?

G. Docs is a web-based application offered by G.o.o.g.l.e within its suite of office tools. It allows users to create, edit, and store documents online, enabling real-time collaboration. Multiple users can simultaneously work on the same document, making it an excellent tool for collaborative projects. G. Docs automatically saves changes, reducing the risk of data loss, and offers seamless integration with G. Drive for easy storage and sharing of documents. The cloud-based nature of G. Docs eliminates the need for specific operating systems, making it accessible from various devices with internet connectivity.

In summary, the correct answer is G. Docs, a versatile cloud-based word processor that promotes efficient collaboration and accessibility across different platforms.

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A ball is tied to a 1.3 m string and whirled in a circular motion with a force of 220 N. If its speed is 6 m/s, (a) what is it centripetal acceleration? (b) What is the mass of the ball?

Answers

The centripetal acceleration is 27.692 kg m / s^2.

The mass of the ball is 7.94 kg.

Explanation:

The curved path of an object experience a force known as centripetal force. Its direction is always pointing to the motion of the body towards the center of curvature of the path.

            centripetal force Fc = (mass * square of velocity) / radius

where m represents mass in kg

          v represents  velocity

          r represents radius in a meter.

The acceleration experienced in uniform circular motion is called as centripetal acceleration.It always points toward the center of rotation and is perpendicular to the linear velocity.                     centripetal acceleration = v^2 / r

                                                             = (6 * 6) / 1.3

                                                             = 27.692 kg m / s^2.

 The mass of the ball is found by using the centripetal force formula,

                              centripetal force Fc = m v^2 / r

                                                      m = (F * r) / v^2

                                                          =  (220 * 1.3) / 36

                           mass of the ball  m = 7.94 kg.

A species is defined as organisms capable of interbreeding and producing fertile offspring. Diane Dodd examined the idea of speciation in fruit flies. She took fruit flies from a single population and divided them into separate populations living in different cages, each receiving different food sources. One group was given maltose-based foods and the other, starch-based foods. After many generations, the flies were tested to see which flies they preferred to mate with. Dodd found that "maltose flies" preferred other "maltose flies.” In this case, what lead to speciation?

Answers

Answer:

The separation of the single population (allopatric speciation) led to speciation.

Explanation:

"Speciation" refers to the evolutionary process of organisms in order to become a "distinct" species. There are several factors affecting speciation and these are: Genetic Drift, Natural Selection, Mutation and Geographic Isolation.

The situation above is an example of the factor called "Geographic Isolation."  This type of isolation is reproductive in nature. This happens when organisms are separated or divided by a barrier. In the case above, the fruit flies were divided into different cages. One cage was for fruit flies who  fed on maltose-based foods, while the other cage was for fruit flies who fed on starch-based foods.

More specifically, this case may also be referred to as "allopatric speciation." It happens when a single population is divided. Thus, over time the separated species acquire genetic differences. These differences prevent them from breeding with each other once they are reunited. This is the reason why the maltose-based flies prefer to mate only maltose-based flies as well.

Answer: Habitat isolation

Explanation: I just guessed

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