The u.s army’s parachuting team, the Golden Knights, are on a routine
Jumping mission over a deserted beach. On a jump, a 65-kg Knight lands on the beach with a speed of 4.0 m/s, making a 0.20-m deep indentation in the sand with what average force did the parachuter hit the sand?

Answers

Answer 1

The average force is -2600 N

Explanation:

First of all, we need to calculate the acceleration of the man during the collision, which is given by the suvat equation:

[tex]v^2-u^2=2as[/tex]

where:

v = 0 is his final velocity (he comes to a stop)

u = 4.0 m/s is the initial velocity

a is the acceleration

s = 0.20 m is the distance covered

Solving for a,

[tex]a=\frac{v^2-u^2}{2s}=\frac{0-4.0^2}{2(0.20)}=-40 m/s^2[/tex]

The negative sign indicates that it is a deceleration.

Now we can find the average force on the man by using Newton's second law of motion:

[tex]F=ma[/tex]

where

m = 65 kg is the mass

[tex]a=-40 m/s^2[/tex]

And substituting,

[tex]F=(65)(-40)=-2600 N[/tex]

where the negative sign indicates the force is in the direction opposite to the motion.

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Answer 2
Final answer:

To calculate the average force with which the parachuter hits the sand, we can use the equation F = ma, where F is the force, m is the mass, and a is the acceleration. The average force is approximately 67 N (in magnitude), with a negative sign indicating the direction of the force exerted on the parachuter.

Explanation:

To calculate the average force with which the parachuter hits the sand, we can use the equation F = ma, where F is the force, m is the mass, and a is the acceleration. Since the parachuter lands with a certain speed, we can assume that the acceleration is equal to the change in velocity divided by the time taken to come to a stop. The change in velocity can be calculated by subtracting the final velocity from the initial velocity, and the time taken to come to a stop can be found using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.

Given that the mass of the parachuter is 65 kg, the initial velocity is 4.0 m/s, and the final velocity is 0 m/s, we can calculate the acceleration using a = (v - u)/t. Assuming the time taken is the same as the time taken to come to a stop, we can rearrange the equation to solve for t: t = (v - u)/a. Substituting the given values into the equation, we can calculate the time taken. Finally, we can substitute the mass and acceleration into the equation F = ma to calculate the average force.

So, the average force with which the parachuter hits the sand can be calculated as F = (65 kg) * (-(0 m/s) - (4.0 m/s))/(3.84 s), which gives a result of -67 N (or approximately 67 N in magnitude).


Related Questions

Would a wire carrying more electrons transfer more energy than a wire carrying fewer electrons? Explain why or why not.​

Answers

Answer:

no

Explanation:

abcdefghijklmnopqrstuvwxyz

Answer:IT depends on the material of the wire

Explanation:certain materials help them move faster

What is an acid-base reaction also called?
A. Antacid reaction
B. Neutralization reaction
C. Salt-water reaction
D. Single-displacement reaction

Answers

Answer:

B. Neutralization reaction.

Explanation:

Acid base reaction is called neutralization reaction because the product of this reaction are neutral substances.(i.e. salt and water which are neutral in nature as their PH value is 7).

For example...

HCl + NaOH -----> NaCl + H2O

Here, acid(HCl) reacts with base(NaOH) to give nutral substances salt(NaCl) and water(H2O).

What is the escape velocity on the Venus ? Venus' mass 4.90*10^ 24 kg and radius is 6.86 * 10 ^ 6 * m

Answers

The escape velocity on Venus is 9761 m/s

Explanation:

The escape velocity from a planet is the speed that an object on the surface of that planet must have in order to completely escape the gravitational field of the planet.

Mathematically, it is calculated as

[tex]v=\sqrt{\frac{2GM}{R}}[/tex]

where

G is the gravitational constant

M is the mass of the planet

R is the radius of the planet

For Venus, we have:

[tex]M=4.90\cdot 10^{24}kg[/tex] is the mass

[tex]R=6.86\cdot 10^6 m[/tex] is the radius

Substituting, we find the escape velocity on Venus:

[tex]v=\sqrt{\frac{2(6.67\cdot 10^{-11})(4.90\cdot 10^{24})}{6.86\cdot 10^6}}=9761 m/s[/tex]

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Donna stretched a spring to increase its length. Nearby in an electrical device, a positive charge attracted a negative charge. Which statement is true about the spring and the negative charge?

A. They both experienced contact forces.
B. They both experienced non-contact forces.
C. The spring experienced a contact force and the charge experienced a non-contact force.
D. The spring experienced a non-contact force and the charge experienced a contact force.

Answers

C. The spring experienced a contact force and the charge experienced a non-contact force

Explanation:

In physics, there are two types of forces:

Contact forces: contact forces are those where a contact between the objects involved is needed, in order to have the force. Examples of contact forces are the force of friction (the contact between the two surfaces is needed), or the elastic force in a spring (in fact, the spring needs to be physically in contact with something that stretches it)Non-contact forces: non-contact forces are those where no contact is needed between the objects, so they can be exerted at a distance. Examples are the gravitational force (two masses exert a force on each other even from a distance) or the electric force (two charges exert a force on each other even from a distance).

Therefore, in this example:

The spring experiences a contact forceThe two charges experience a non-contact force

So the correct answer is

C. The spring experienced a contact force and the charge experienced a non-contact force

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Answer:

C

Explanation:

I did this test and got 100%

a bat traveling at 10m/s for 10 seconds has traveled how much distance ​

Answers

Answer:

100m

Explanation:

Speed = distance divided by time or v=d/t . By making d the subject of the formula we have d = v x t which is 10 x 10 = 100

a small plane makes a complete circle with a radius of 3282m in 2.0 min. What is the centripical acceleration of the plane?

Answers

Answer:

8.99m/s

Explanation:

A mass on a spring with k=88.7 N/m oscillates 15 times in 9.24s. what is the objects mass? unit=kg?

Answers

The mass on the spring is 0.86 kg

Explanation:

The period of a mass-spring system is given by the equation

[tex]T=2\pi \sqrt{\frac{m}{k}}[/tex]

where

m is the mass

k is the spring constant

In this problem, we have:

k = 88.7 N/m is the spring constant

The system makes 15 oscillations in 9.24 s: therefore, the period of the system is

[tex]T=\frac{9.24}{15}=0.62 s[/tex]

Now we can re-arrange the first equation  to solve for the mass:

[tex]m=k(\frac{T}{2\pi})^2=(88.7)(\frac{0.62}{2\pi})^2=0.86 kg[/tex]

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Answer:

0.86

Explanation:

Acellus

A 81.9 kg person stands on her toes. The surface area of her toes in contact with the ground is only 0.00210 m^2. How much pressure is exerted between her toes and the ground, IN ATMOSPHERES?

Answers

So, the pressure exerted by the person on the ground (in units of atm) is close to 0.38 atm.

Introduction

Hi ! I'm Deva from Brainly Indonesia and I will help explain something about solid pressure material. Remember the definition of pressure in solids is "The amount of force felt per unit area of pressure". So, based on the meaning, it is embodied in the equation :

[tex] \boxed{\sf{\bold{P = \frac{F}{A}}}} [/tex]

[tex] \boxed{\sf{\bold{F = P \times A}}} [/tex]

[tex] \boxed{\sf{\bold{A = \frac{F}{P}}}} [/tex]

With the following conditions :

P = solid pressure (N/m²)F = the force that the object has (N)A = Area of pressure (m²)

However, always remember, if the object is a stationary mass and is affected by gravity, then the value of F can be calculated by :

[tex] \boxed{\sf{\bold{F = m \times g}}} [/tex]

With the following conditions :

m = mass of the object (kg)g = acceleration due to gravity (m/s²)

Problem Solving

We know that :

m = mass of the object = 81.9 kgg = acceleration due to gravity = 9.8 m/s²A = Area of pressure = 0.00210 m² >> See, in the problem there is the word "toes" which means this area has covered the whole (his/her ten of toes)

What is ask :

P = solid pressure = ... atm

Step by step :

Calculate the pressure value, meanwhile, the unit is N/m²

[tex] \sf{P = \frac{F}{A}} [/tex]

[tex] \sf{P = \frac{m \times g}{A}} [/tex]

[tex] \sf{P = \frac{81.9 \times 9.8}{0.0210}} [/tex]

[tex] \sf{P = \frac{802.62}{0.0210}} [/tex]

[tex] \sf{P = 38,220 \: N/m^2} [/tex]

Don't forget to convert N/m² to atm, 1 atm = 101,325 N/m²

[tex] \sf{P_{(atm)} = \frac{38,220}{101,325}} [/tex]

[tex] \sf{P_{(atm)} = \frac{38,220}{101,325}} [/tex]

[tex] \boxed{\sf{P_{(atm)} \approx 0,38 \: atm}} [/tex]

So, the pressure exerted by the person on the ground (in units of atm) is close to 0.38 atm.

7. What do mechanical waves require in order to transfer energy?

Answers

Answer:

Mechanical waves require a medium in order to transport energy. Sound, like any mechanical wave, cannot travel through a vacuum.

Explanation:

they need a medium

A 0.1 kg apple drops 2m hitting a spring. The spring deforms 0.1m.
What is the spring constant ?

Answers

Answer:

392 N/m

Explanation:

We know that the total mechancial enery will be conserved from when the apple drops to when it hit the spring.  Therefore, we can set the potential energy of the apple equal to the elastic potential energy of the spring.

PE = mgh and SE = 1/2kx² — PE is the initial potential energy of the apple and SE is the elastic potential energy of the spring.

mgh = 1/2kx².  (.1)(9.8)(2) = (1/2)(k)(.1²), solve for k. k = 392

What is the mass of an object that has an acceleration of 2.63 m/s2 when an unbalanced force of 112 N is applied to it?

Answers

The mass of object is 42.6 kg

Solution:

Given that,

Acceleration = 2.63 [tex]m/s^2[/tex]

Applied unbalanced force = 112 N

To find: mass of object

Newton's second law gives the relation between the applied force and the acceleration produced by it. Mathematically, it can be written as :

[tex]F = m \times a[/tex]

Where, "m" is the mass and "a" is the acceleration

Substituting the given values we get,

[tex]112 = m \times 2.63\\\\m = \frac{112}{2.63}\\\\m = 42.6[/tex]

Thus mass of object is 42.6 kg

Answer:

42.6kg Is correct

Explanation:

I’m doing it in science class right now

A roller coaster car rapidly picks up speed as it rolls down a hill. As it starts down the hill, its speed is 4 m/s. But 3 seconds later, at the bottom of the hill, its speed is 22 m/s. What is its average acceleration?

Answers

The acceleration is [tex]6 m/s^2[/tex]

Explanation:

The acceleration of an object is the rate of change in velocity, and it is given by the equation

[tex]a=\frac{v-u}{t}[/tex]

where

v is the final velocity

u is the initial velocity

t is the  time needed for the velocity to change from u to v

For the roller coaster in this problem, we have

u = 4 m/s

v = 22 m/s

t = 3 s

Substituting, we find

[tex]a=\frac{22-4}{3}=6 m/s^2[/tex]

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explain why solar eclipses do not occur every time the moon revolves around earth

Answers

Answer:

the moon, earth, and sun all must be in alignment ; not just the moon and earth

Final answer:

Eclipses occur when the Moon, Earth, and Sun align, but the Moon's orbit inclination causes eclipses to be rare occurrences due to the specific alignment needed for an eclipse to happen.

Explanation:

Eclipses occur when the Moon, Earth, and Sun are directly lined up in the full Moon (lunar eclipse) and new Moon (solar eclipse) positions. Eclipses do not occur every month because the Moon's orbit is inclined about 5 degrees so usually the Moon is little above or a little below the direct line of sight from the Sun.

The reason for the rarity of eclipses lies in the inclination of the Moon's orbit. This inclination causes the Moon to mostly be positioned either above or below the Earth during a new moon, preventing a solar eclipse every month.

While the Moon revolves around the Earth close to once a month, the specific alignment required for an eclipse to occur is met only occasionally due to the intricate orbital dynamics between the Earth, Moon, and Sun.

1. A poorly tuned Yugo can accelerate from rest to a speed of 28 m/s in
20 s.
a) What is the average acceleration of the car?
b) What distance does it travel in this time?

Answers

a)The average acceleration of the car is [tex]1.4 \mathrm{m} / \mathrm{s}^{2}[/tex]

b) The distance travelled is 560 m

Explanation:

a) Acceleration is defined as the rate of change in velocity per unit time. So it can be obtained by measuring the ratio of speed to time.

      [tex]Average acceleration =\frac{\text { Final speed - Initial Speed }}{\text { time }}[/tex]

Since here the initial speed was zero and final speed is given as 28 m/s, then time is given as 20 s. So,

      [tex]\text {Acceleration}=\frac{28-0}{20}=\frac{28}{20}=1.4 \mathrm{m} / \mathrm{s}^{2}[/tex]

b) As the speed is given as 28 m/s, then

      [tex]\text {distance}=\text { Speed } \times \text { Time }=28 \times 20=560 \mathrm{m}[/tex]

So the distance travelled is 560 m and average acceleration is [tex]1.4 \mathrm{m} / \mathrm{s}^{2}[/tex].

What does M represent in the equation below?
m = M + 5 log(d/10)
A. luminosity
B. spectral class
C. absolute magnitude
D. apparent magnitude

Answers

Answer:

m represents apparent magnitude in the equation m = M + 5 log(d/10).

Explanation:

A ball is dropped off the side of a bridge. after falling 1.55 s, what is its velocity?

Answers

Answer:

-15.19 m/s

Explanation:

The 1D kinematic equation for velocity is the v = v0 * at.

In this case, v is the final velocity (what we're after), v0 is the initial velocity, a is the acceleration, and t is the time elapsed.

v0 is 0 because at 0 seconds we are just releasing the ball.

a is the acceleration due to gravity as no other factors are specified.

t is the change in time.

v = 0 * -9.8 m/s^2 * 1.55 = -15.19 m/s.

Answer:

-15.19

Explanation:


What does the graph of acceleration vs. time look like for something going a
constant velocity?
O
A. A downward sloping straight line
O
B. A vertical line.
O
C. A horizontal line.
O
D. A curving line with upward slope.

Answers

Acceleration vs time graph would show C. A horizontal line (at zero)

Explanation:

The acceleration of an object is the rate of change of velocity of the object:

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

where

[tex]\Delta v[/tex] is the change in velocity

[tex]\Delta t[/tex] is the time interval

For an object moving at constant velocity,

[tex]\Delta v = 0[/tex]

This means that also the acceleration is zero:

[tex]a=0[/tex]

And therefore, if we plot the graph of the acceleration vs time, we would see a horizontal line (cosntant acceleration) at zero (because the acceleration is zero).

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Question 26 (1 Point)
If a car is going 25 mph on the street and suddenly stops, a book on the seat flies off
of the seat and hits the floor. Why did the book continue to move after the car
stopped?

Answers

The book continue to move due to its inertia

Explanation:

We can answer this question by using Newton's first law, which states that:

"When an object is moving with constant velocity (or it is at rest), it will continue moving with constant velocity (or will stay at rest) unless acted upon an external unbalanced force".

This law is also known as law of inertia.

If we apply this law to the situation in the problem, we notice that:

- Before the car stops, the book is moving with constant velocity (25 mph) together with the car

- When the car stops, there are no external forces acting on the book, which is free to continue its motion: so, the book will continue moving at 25 mph forward, due to its inertia. The book will be eventually stopped when it hits the floor (because the floor applies an unbalanced force on it).

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If I put one hand in hot tap water and the other in cold tap water then both in the same warm tap water what will happen

Answers

Answer:

you will feel warm

Explanation:

beacause your body will get the warm from warm water tap..

Final answer:

When hands are first placed in hot and cold water and then both into warm water, they will perceive different temperatures due to temperature adaptation. This demonstrates that the sensation of warmth or coolness is relative and is interpreted by the nervous system.

Explanation:

If you were to place one hand in hot tap water and the other in cold tap water and then both in the same warm tap water, you would experience a phenomenon known as temperature adaptation. This occurs because your sensory receptors adapt to the initial temperature exposure. So, when you then place both hands in the warm water, the hand that was in the hot water would feel the warm water as cooler, while the hand that was in the cold water would perceive the warm water as hotter.

This is a clear demonstration that the sensation of 'hotness' or 'coolness' is relative and depends on prior conditions that the sensory receptors in your skin have adapted to. This sensory adaptation helps explain how our nervous system interprets different stimuli depending on preceding conditions. It is not that the 'hotness' or 'coolness' resides in the mind as an idealistic concept, but rather, the interpretation of these sensations is a neurological process that occurs in the brain.

A 1090 kg car moving +11.0 m/s
makes a head-on inelastic collision
with a stationary car. After, they
move +4.75 m/s. What is the
mass of the second car?​

Answers

The mass of the second car is 1434.21 kg

Explanation:

Using law of conservation of momentum,

          [tex]m_{1} u_{1}+m_{2} u_{2}=\left(m_{1}+m_{2}\right) v[/tex]

Given:

[tex]m_{1}[/tex] = 1090 kg

[tex]u_{1}[/tex] = 11 m/s

[tex]u_{2}[/tex] = 0

v = 4.75 m/s

We need to find [tex]m_{2}[/tex]

When substituting the given values in the above equation, we get

[tex](1090 \times 11)+\left(m_{2} \times 0\right)=\left(1090+m_{2}\right) 4.75[/tex]

[tex]11990=5177.5+4.75 m_{2}[/tex]

[tex]4.75 m_{2}=11990-5177.5[/tex]

[tex]4.75 m_{2}=6812.5[/tex]

[tex]m_{2}=\frac{6812.5}{4.75}=1434.21 \mathrm{kg}[/tex]

Answer:

1434.21 kg

Explanation:

HELP ASAP PLSSSS

Which statement best describes the long–term effects of using non–renewable resources?

Select one:
a. Burning fossil fuels pollutes the environment.
b. Fossil fuels burn clean, reducing air pollution.
c. As populations increase, the need for solar power will decrease.
d. Resources will replenish over the long term to be used again.

Answers

Answer:

A) Burning fossil fuels pollutes the environment

Answer: option A

Explanation:

Explain how two dangerous elements can form a compound that is edible

Answers

Two dangerous elements can form a compound that is edible known as "NaCl salt".

Explanation:

Sodium and chlorine are two very dangerous elements. As the reaction between sodium and water is extremely violent and chlorine is a very toxic gas. But combination of these elements result into a harmless product with unique properties like it is edible and dissolves without exploding in water.

In sodium chloride reaction the atoms of sodium interact with chlorine atoms. Sodium will donate an electron (by becoming positively charged) to acceptor chlorine (which become negatively charged) as given in following reaction

[tex]N a+C l_{2} \rightarrow N a C l[/tex]

As sodium and chlorine are  very keen to achieve noble gas configuration by completing an octet on donating and accepting an electron respectively.

The dangerous two elements which are compounded together to form an edible compound are sodium (Na) and  Chlorine  (Cl) salt.

What are the two dangerous elements that can form a compound that is edible?

The two dangerous elements which are combined to form an edible compound are sodium and chlorine. We know that sodium is exploding material that can explode in water.

Similarly chlorine gas is also a very toxic gas but when we combine both of them then the compound formed will be an edible salt. This compound can easily dissolve in water.

When sodium and chlorine are exposed to each other for the reaction the positive atoms of the sodium gets combined with the negative atoms of the chlorine so the compound of NaCl is formed

[tex]Na^{+}+Cl^{-}=NaCl[/tex]

As sodium and chlorine are very keen to achieve noble gas configuration by completing an octet on donating and accepting an electron respectively.

Thus the dangerous two elements which are compounded together to form an edible compound are sodium (Na) and  Chlorine  (Cl) salt.

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A 1.000kg block of phosphorus-32, which has a half life of 14.3 days, is stored for 100.1 days. At the end of this period, how much phosphorus-32 remains?

Answers

Answer: 0.0078 kg

Explanation:

The answer can be found using the Radioactive Half Life Formula:  

[tex]A=A_{o}.2^{\frac{-t}{h}}[/tex]    

Where:  

[tex]A[/tex] is the final amount of phosphorus-32

[tex]A_{o}=1 kg[/tex] is the initial amount of phosphorus-32

[tex]t=100.1 days[/tex] is the time elapsed  

[tex]h=14.3 days[/tex] is the half life of phosphorus-32

Solving with the given data:

[tex]A=(1 kg)2^{\frac{-100.1 days}{14.3 days}}[/tex]    

[tex]A=0.0078 kg[/tex] This is the remaining amount of phosphorus-32  

Final answer:

Given a 1.000kg block of phosphorus-32 with a half-life of 14.3 days, we can calculate the remaining amount after 100.1 days using exponential decay and the half-life formula.

Explanation:

The question pertains to the concept of radioactive decay, particularly concerning the half-life of an isotope. The block of phosphorus-32 being referred to undergoes radioactive decay, and its half-life, or the time required for half of the substance to decay, is 14.3 days.

To find out how much remains after a certain number of days, we can use the equation N = N0*(1/2)^(t/T), where N is the final amount, N0 is the initial amount, t is the elapsed time, and T is the half-life. In this case:

N0 = 1.000 kg (initial amount)T = 14.3 days (half-life)t = 100.1 days (elapsed time)

Inserting the respective values into the formula, we find how much phosphorus-32 remains at the end of this period.

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Which is the best description of a molecule?
A molecule of an element is composed of at least two types of atoms.
Amolecule of a compound is composed of only one type of atom.
A molecule of a compould is composed of at least two types of atoms.
A molecule of an element is composed of exactly two types of atoms.

Answers

Answer:

A molecule of an element is composed of exactly two types of atoms.

Explanation:

Answer: I believe that the correct answer is C....I could be wrong though...

Explanation:

Ultraviolet radiation is dangerous because it has a high enough energy to damage skin cells. What is the BEST explanation of the relationship between wavelength and wave energy? A) Wave energy is related only to frequency, not wavelength. B) Longer wavelengths have lower frequencies but higher energy. C) The shorter the wavelength, the lower the frequency and the higher the energy. D) The shorter the wavelength, the higher the frequency and the higher the energy.

Answers

The answer is shorter the wavelength, higher the frequency and higher the energy.

Explanation:

The sun radiates UV energy in a wide range of wavelength, which are invisible to human eyes. The shorter the wavelength, the more energetic the radiation, and the greater the potential for harm.

The relationship between wavelength and wave energy is shorter the wavelength, higher the frequency and higher the energy.

It has a frequency ranges from 8 × 10^14 to 3 × 10^16 cycles per second, or hertz (Hz), and wavelengths id about 380 nanometers to about 10 nm.

Answer:

A

Explanation:

Which of the following planets has a diameter that is larger than the diameter of the Earth? A. Mars B. Venus C. Neptune D. Mercury

Answers

Answer:

Neptune.

Explanation:

Earth has a diameter of 7,915 miles. I know that both Mars, Venus, and Mercury have a smaller size than earth so they must have a smaller diameter. Neptune, with a diameter of 30,599 miles, is the only one bigger than earth.

hope this helps!

A car increases its speed from 4.20 m/s to 8.60 m/s over 3.20 seconds. What is the car’s acceleration?

Answers

Answer:1.375metre per second square

Explanation: acceleration=(final velocity-initial velocity)÷time

acceleration=(8.6-4.2)÷3.2

Acceleration=4.4÷3.2

Acceleration=1.375 metre per second square

Hii:) anyone able to help with this question? ( it’s in the pic above)
Thank you :) !

Answers

Answer:

dang your teacher gave you a hard one xD

Explanation:

Answer:

4.0s

Explanation:

The period of the pendulum is the time taken for it to complete 1 full oscillation. This means that the pendulum moves this way for it to be 1 oscillation:

P ➟ Q ➟ R ➟ Q ➟ P

Since the pendulum only moved back to midpoint Q and not back to P, it has completed less than 1 oscillation.

Let each movement to the next section be 1 unit.

So 1 oscillation - 4units

In this case, the pendulum moved 3 units.

3 units ----- 3s

1 unit ----- 3÷3

1 unit ----- 1s

Thus 1 full oscillation would take 4(1)= 4s

Therefore, period of pendulum= 4s.

when two object P and Q are supplied with the same quantity of heat, the temperature change in P is observed to be twice that of Q. The mass of P is half that of Q. The ratio of the specific heat capacity of P to Q​

Answers

When two object P and Q are supplied with the same quantity of heat, the temperature change in P is observed to be twice that of Q. The mass of P is half that of Q. The ratio of the specific heat capacity of P to Q​

Explanation:

Specific heat capacity

It is defined as amount of heat required to raise the temperature of a substance by one degree celsius .

It is given as :

Heat absorbed = mass of substance x specific heat capacity x rise in temperature

or ,

Q= m x c x t

In above question , it is given :

For Q

mass of Q = m

Temperature changed =T₂/2

Heat supplied = x

Q= mc t

or

X=m x C₁ X T₁

or, X =m x C₁ x T₂/2

or, C₁=X x 2 /m x T₂                                 (equation 1 )

For another quantity : P

mass of P =m/2

Temperature= T₂

Heat supplied is same that is : X

so, X= m/2 x C₂ x T₂                            

or, C₂=2X/m. T₂                                   (equation 2 )

Now taking ratio of C₂ to c₁, We have

C₂/C₁= 2X /m.T₂  /2X  /m.T₂

so, C₂/C₁= 1/1

so, the ratio is 1: 1


7. If a hot spoon is placed in a glass of cold
water, what happens to the entropies of the
molecules in the spoon and the water
molecules?
A spoon increase, water increase
B spoon increase, water decrease
C spoon decrease, water increase
D spoon decrease, water decrease

Answers

Answer:

C

Explanation:

Spoon decrease, water increase

Final answer:

When a hot spoon is placed in cold water, the spoon's entropy decreases and the water's entropy increases as heat is transferred from the spoon to the water. So the correct option is C.

Explanation:

If a hot spoon is placed in a glass of cold water, the entropy of the molecules in the spoon decreases, and the entropy of the water molecules increases. This is because entropy can be thought of as the measure of disorder within a system. The hot spoon transfers heat to the colder water, resulting in a decrease in temperature and therefore a decrease in disorder of the spoon's molecules, leading to lower entropy. Conversely, the cold water gains heat, increasing the disorder of its molecules, thus increasing its entropy. So, the correct answer is (C) spoon decrease, water increase.

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