Answer:
B, h=9
Explanation:
A Styrofoam slab has thickness h and density ρs. When a swimmer of mass m is resting on it, the slab floats in fresh water with its top at the same level as the water surface. Find the area of the slab. (Use any variable or symbol stated above along with the following as necessary: ρw for the density of water.)
This question involves the concepts of the bouyant force, weight, and volume.
The area of the slab is "[tex]\frac{m}{h(\rho_w-\rho_s)}[/tex]".
In order for the styrofoam slab to float on the water, the buoyant force acting on it must be equal to its weight:
[tex]Weight = Buoyant\ Force\\(m+M)g=\rho_w Vg\\m+M=\rho_w V[/tex]
where,
m = mass of swimmer
A = area of styrofoam slab = ?
h = thickness of strrofoam slab
[tex]\rho_s[/tex] = density of styrofoam slab
[tex]\rho_w[/tex] = density of water
M = mass of styrofoam slab = [tex]Ah\rho_s[/tex]
V = volume of styrofoam slab = Ah
Therefore,
[tex]m+(Ah\rho_s) = Ah\rho_w\\m= Ah(\rho_w-\rho_s)\\\\A=\frac{m}{h(\rho_w-\rho_s)}[/tex]
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The force of attraction between two objects, which is related to the object's mass is the definition of
Answer:
Explanation:
The gravitation force of attraction between the two bodies is directly proportional tp the product of masses of two bodies and inversely proportional to the square of distance between them.
You are walking on a beach and find a mystery piece of metal. You take it back to your lab and measure its mass to be 0.5 kg. In order to heat the metal 1 degree K, you must add 115 J of heat. Identify the metal. q =mCΔT
Answer:
Metal : silver
Explanation:
It is given that,
Mass of the metal, m = 0.5 kg
Temperature, [tex]\Delta T=1\ ^0\ K[/tex]
Heat, Q = 115 J
Heat absorbed is given by :
[tex]Q=mc\Delta T[/tex]
[tex]c=\dfrac{Q}{m\Delta T}[/tex]
Where,
c is the specific heat of the metal
[tex]c=\dfrac{115\ J}{0.5\times 1\ ^0K}[/tex]
[tex]c=230\ J/kg\ ^0K[/tex]
The metal having specific heat equals 230 J/kg °K is silver
Hence, this is the required solution.
In which phase transition do molecules directly move from state to state involving a vibration of particles in a fixed position to a state involving random movement of high speed particles
Evaporation
Sublimation
Freezing
Depostion
sublimation is the correct answer
will upvote
Wich of the following is not a simple machine?
1.)A bike
2.)A screw
3.) A incline plane
4.) A lever
A mass of 10.0 kg is in a gravitational field of 3.50 N/kg. What force acts on the mass?
Answer:
Force=35 N
Explanation:
Given data
mass m=10.0 kg
Gravitational field E=3.50 N/kg
To find
Force
Solution
From definition of gravitational field intensity.
[tex]E_{gravitational-field }=\frac{Force}{mass}\\ E=F/m\\F=mE\\F=(10.0 kg)*(3.50 N/kg)\\F=35N[/tex]
A hotel wants to put a fence around a circular spa. The radius of the spa is 5/√2-1 feet. If the fence is built along the immediate edge of the spa, what is the perimeter of the fence? (Recall that the
perimeter of a circle is 2πr , where r is the radius of the circle.)
To calculate the perimeter of the fence around the spa, you use the formula 2πr, substituting the spa's radius, 5/√2-1 feet, into the formula.
Explanation:The radius of the spa is given as 5/√2-1 feet. To find the perimeter of the fence, which is the same as the circumference of the circular spa, you use the formula 2πr, where r is the radius of the circle.
Substitute the given radius into the formula:
Perimeter = 2π(5/√2-1)
Perform the multiplication to obtain the perimeter. This will give you the total length of the fence needed to surround the spa.
If you lift a 200 newton box 1 meter with a rope and is the system and you apply 20 newtons to lift this box, what to mechanical advantage of the system? How far do you have pull the rope when you are applying the input force? If you do this work in 5 seconds, what is the power?
The mechanical advantage of the system is 0.1.
When you are applying the input force, rope is pulled by 10m.
The power is 40 Watt.
What is mechanical advantage?Mechanical advantage is the ratio of power output to the power input.
M.A= 20 N / 200 N
M.A = 0.1
Thus, the mechanical advantage is 0.1.
The length of rope pulled = 1m / M.A
= 1/0.1
= 10m
Thus, when you are applying the input force, rope is pulled by 10m.
Work done by the force = force * distance traveled
W = 200N * 1m = 200 J
Power = Work done /time
P = 200 J/5s
P = 40 Watt
Thus, the power is 40 Watt.
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Final answer:
To lift a 200N box 1 meter with a MA of 10, you must pull the rope 10 meters. The mechanical advantage is calculated by dividing the output force by the input force. The power required to lift the box in 5 seconds is 40 Watts.
Explanation:
To calculate the mechanical advantage (MA) of the system, we divide the output force by the input force. In this case, the output force is 200 newtons, and the input force is 20 newtons. Therefore, the MA of the system is 200N / 20N = 10.
To find out how far you must pull the rope, we use the concept that work input equals work output, assuming negligible losses due to friction or inefficiency. Because the MA is 10, and to lift the load 1 meter, you have to pull the rope 10 meters. The distance you have to pull the rope is directly proportional to the MA when lifting a load using a pulley system.
The power of the system can be calculated by dividing the work done by the time taken. Work done is force times distance (Output force * height lifted = 200N * 1m = 200 Joules) and the time taken is 5 seconds. Power = Work/Time = 200J/5s = 40 Watts.
The number of revolutions of two pulleys is inversely proportional to their diameters. If a 24-inch diameter pulley making 400 revolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.
133 1/3
800
1,200 ...?
1200
Explanation;Since diameter (d) is inversely proportional to the revolutions (n) areThen; dn=k
We can use the relationship to find the unknown, k:
k = dn
k = (24)(400) = 9600
Then use k to find the unknown n:
k= dn
9600 = 8n
n = 1200
= 200 rpm
A ball is thrown at a 60.0° angle above the horizontal across level ground. It is released from a height of 2.00 m above the ground with a speed of 16.0 m/s. How long does the ball remain in the air before striking the ground?
To determine the time a projectile remains in the air, calculate the initial vertical velocity using the sine of the launch angle and then apply kinematic equations to solve for time using the vertical displacement and acceleration due to gravity.
Explanation:The student's question is related to the time a projectile remains in the air, which is a topic in Physics, specifically in kinematics. To find the time of flight for the projectile, we need to consider the vertical motion since the horizontal and vertical motions are independent.
Given that the initial speed of the ball is 16.0 m/s and it is thrown at a 60.0° angle, we can find the initial vertical velocity (Vy) using the sine function: Vy = 16.0 m/s * sin(60.0°).
The vertical displacement Δy for the ball when it hits the ground will be -2.00 m (negative since it's ending below the point of release). We will use the following kinematic equation for vertical displacement: Δy = Vy * t + 0.5 * g * t^2, where g is the acceleration due to gravity (-9.8 m/s^2, negative as it's directed downwards).
By substituting the known values and solving the quadratic equation for t (time), we can determine the total time the ball remains in the air.
The range of all electromagnetic radiation is known as the
HR diagram
Electromagnetic spectrum
sources of light chart
radio wave graph
When compared to others, how is a greater velocity represented on a motion map?
with shorter vectors
with longer vectors
with larger dots
with smaller dots
Answer:
with longer vectors
Explanation:
In any motion map of vectors we know that length of vectors is used to represent the magnitude
while the direction of the vector is represented by the angle made by the vector.
So here we have to represent the larger or greater velocity
This represents the magnitude of the vector to be more
so the correct answer would be
"with Longer vectors" we can show or represent velocity vector of greater velocity.
Inside a NASA test vehicle, a 3.50kg ball is pulled along by a horizontal ideal spring fixed to a friction-free table. The force constant of the spring is 229 N/m. The vehicle has a steady acceleration of 5.00m/s^2, and the ball is not oscillating. Suddenly, when the vehicle's speed has reached 45.0m/s, its engines turn off, thus eliminating its acceleration but not its velocity. What is the frequency? ...?
Final answer:
The frequency of the spring in the NASA test vehicle is approximately 2.28 Hz.
Explanation:
To determine the frequency of the spring in the NASA test vehicle, we need to use the equation for the frequency of a mass-spring system:
f = 1 / (2π) * sqrt(k / m)
Where f is the frequency, k is the force constant of the spring, and m is the mass of the ball.
Plugging in the given values, we get:
f = 1 / (2π) * sqrt(229 N/m / 3.50 kg)
Calculating this, we find that the frequency is approximately 2.28 Hz.
If a galaxy is located 200 million light years from Earth, what can you conclude about the light from that galaxy?
A. The light will take 200 million years to reach Earth.
B.The light will travel 200 million kilometers per second to reach Earth.
C.The light will travel a total of 300,000 kilometers to reach Earth.
D.The light will travel a total of 200 million kilometers to reach Earth.
The answer is not D. Just got it incorrect on my quiz.
Answer:
A. The light will take 200 million years to reach Earth.
Explanation:
A gas is at 5 Kelvin and 1 m3. The temperature is raised to 10 Kelvin. What is the new volume?
2 m3
2 m
5 m
Answer:
The new volume of the gas is 2 m³
Explanation:
It is given that,
Initial temperature, [tex]T_1=5\ K[/tex]
Initial volume, [tex]V_1=1\ m^3[/tex]
Final temperature, [tex]T_2=10\ K[/tex]
We need to find the new volume. The Charles law gives the relation between the temperature and the volume of the gas.
i.e
[tex]V\propto T[/tex]
[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}[/tex]
[tex]V_2=\dfrac{V_1}{T_1}\times T_2[/tex]
[tex]V_2=\dfrac{1}{5}\times 10[/tex]
[tex]V_2=2\ m^3[/tex]
So, the new volume of the gas is 2 m³. Hence, this is the required solution.
Walking converts what type of energy into mechanical energy
Which of the following is a source of direct electric current?
A. transformer
B. Coulomb
C. switch
D. battery
Energy transformation of a jet plane rapidly accelerates down a runway
The energy transformation of a jet plane rapidly accelerating down a runway involves the conversion of chemical energy into kinetic energy and the potential decrease in potential energy. The engines also generate sound and heat energy.
Explanation:The energy transformation of a jet plane rapidly accelerating down a runway involves multiple concepts in physics. Initially, the plane's engines convert chemical energy from fuel into kinetic energy as the plane moves forward. As the plane accelerates, the kinetic energy increases, while the potential energy decreases. Finally, the plane's engines also generate sound and heat energy as a byproduct of the combustion process.
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A fair ground ride spins its occupants inside a flying saucer-shaped container. if the horizontal circular path the riders follow has an 8.00 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration whose magnitude is 1.50 times that due to gravity?
The amount of energy carried by a wave is proportional to the square of the wave’s
A. frequency
B. amplitude
C. wavelength
D. period ...?
Answer: The correct answer is "amplitude".
Explanation:
The expression of the energy in terms of frequency is as follows;
E=hf
Here, h is Planck's constant, E is the energy and f is the frequency of the wave.
Here, the energy is directly proportional to the frequency of the wave. The energy of the wave is inversely proportional to the wavelength of the wave.
Amplitude is the maximum displacement of the particle from its equilibrium position in the vertical direction.
The amount of energy carried by a wave is directly proportional to the square of the amplitude. More the energy of the wave, more will be amplitude of the wave. Lesser the energy of the wave, lesser will be the amplitude of the wave.
Therefore, the correct option is (B).
ingrid kicks a football with an initial velocity at 12 m/s at an angle of 45 relative to the ground
The question involves analyzing the motion of a football being kicked with given initial velocity and angle in Physics.
Physics: The question involves analyzing the motion of a football being kicked with given initial velocity and angle.
Example: Ingrid kicks a football with an initial velocity of 12 m/s at an angle of 45 degrees relative to the ground.
Concepts: Projectile motion, velocity, angle, and distance traveled are essential in solving such problems in physics.
What type of energy is released when fossil fuels are burned?
a. electrical energy
b. nuclear energy
c. kinetic energy
d. chemical energy
Which of the following is evidence of Earth's age provided by fossils?
Fossils are found only in sedimentary rock.
Fossils range from simple to complex across rock layers.
Fossils formed gradually over time.
Fossils are found in rock above water.
Answer: Fossils range from simple to complex across rock layers.
Explanation:
The finding of the fossils in the different layers of the earth crust suggests that the evolution of the living organisms from simple primitive one to the most complex organisms. The examination and determination of the morphological, anatomical and molecular features of the organisms in the fossils have helped in determining the chronological age and has also been helped in determination of the age of earth with respect to the fossils.
When a person jumps from tree to ground, what happens to the momentum of the person upon striking the ground? ...?
Upon striking the ground, the person's momentum goes to zero as they stop, with the momentum transferred to the Earth. Bending the knees upon landing extends the stopping distance, reducing the force experienced.
Explanation:When a person jumps from a tree to the ground, the momentum of the person upon striking the ground changes drastically. Momentum is a product of the mass of an object and its velocity. In this case, the person carries momentum as they fall, due to their velocity and mass. Upon impact with the ground, this momentum is quickly reduced to zero because the person comes to a stop. According to the law of conservation of momentum, the momentum lost by the person is transferred to the Earth.
However, because the Earth's mass is so immense compared to that of the person, the change in the Earth's velocity is negligible and unobservable. If the person lands with stiff knees, a large force is experienced over a shorter stopping distance, while bending the knees extends the stopping distance, resulting in a smaller force felt by the person.
a mechanical wave is created when a medium ____, or moves back and forth or up and down
Answer: The correct word for the blank is 'oscillates'
" a mechanical wave is created when a medium oscillates , or moves back and forth or up and down
Explanation:
When the matter oscillates or vibrates it transfers energy through the medium in the form of wave which termed s mechanical wave.For example: Sound wave,slinky waves, water waves are the examples of mechanical waves.
So, " a mechanical wave is created when a medium oscillates , or moves back and forth or up and down
How can matter be exchanged between spheres
A substance that is made up of only one kind of atom is a(an)
A substance that is made up of only one kind of atom is called an element.
Elements are pure substances that cannot be broken down into simpler substances by ordinary chemical or physical means. Each element is unique and consists entirely of one type of atom. For example, hydrogen, calcium, and iron are all elements, as they are each made up of only one type of atom.
The Periodic Table of the Elements lists all known elements, providing information about their atomic structure and properties. Many substances in the world are made up of combinations of different elements.
A 14,700 N car is traveling at 25 m/s. The brakes are applied suddenly, and the car slides to a stop. The average braking force between the tires and the road is 7100 N. How far will the car slide once the brakes are applied? ...?
From the calculations and the data supplied, the braking distance is 65 m
What is the braking force?The braking force is the force that is applied as the object comes to rest.
We know that the mass of the car is obtained from; 14,700 N/10 m/s^2 = 1470 Kg
Now;
a = F/m = 7100 N/1470 Kg
a = 4.8 m/s^2
Given that;
v^2 = u^2 - 2as
u^2 = 2as
s = u^2/2a
s = (25)^2/2 * 4.8
s = 625/9.6
s = 65 m
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Why does the number of elements vary from period to period
A cream tangerine is thrown directly upward past three evenly spaced windows of equal heights. Rank the windows according to (a) the average speed of the cream tangerine while passing them, (b) the time the cream tangerine takes to pass them, (c) the magnitude of the acceleration of the cream tangerine while passing them, and (d) the change in velocity in the speed of the cream tangerine during the passage, greatest first. I just need help with C.
The magnitude of the acceleration of the cream tangerine as it passes by each window is constant at approximately 9.8 m/s² due to Earth's gravity.
Explanation:You asked about the magnitude of the acceleration of a cream tangerine as it passes by three evenly spaced windows. When any object is thrown upward or downward close to the Earth's surface, it is accelerated by gravity. This acceleration is constant and has a magnitude of approximately 9.8 m/s² downward. This means that no matter which window the cream tangerine is passing, the magnitude of its acceleration will be the same because gravity is a constant force close to the surface of the Earth. Therefore, when ranking the windows according to the magnitude of acceleration of the cream tangerine while passing them, they will all be the same and thus tied for first place.