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A body of constant mass falls freely due to gravity - AQA - A-Level Physics - Question 16 - 2019 - Paper 1

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A body of constant mass falls freely due to gravity. The rate of change of momentum of the body is equal to its A kinetic energy. B mass. C gravitational potential ... show full transcript

Worked Solution & Example Answer:A body of constant mass falls freely due to gravity - AQA - A-Level Physics - Question 16 - 2019 - Paper 1

Step 1

A kinetic energy.

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Answer

This option is incorrect because kinetic energy is not equivalent to the rate of change of momentum. Kinetic energy (KE) is defined as:

KE=12mv2KE = \frac{1}{2}mv^2

where mm is mass and vv is velocity.

Step 2

B mass.

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Answer

This option is incorrect since mass does not represent the rate of change of momentum by itself. While mass is a factor in determining momentum, it does not directly equate to the rate of change of momentum.

Step 3

C gravitational potential energy.

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Answer

This option is incorrect as gravitational potential energy (PE) does not represent the rate of change of momentum. Gravitational potential energy is given by:

PE=mghPE = mgh

where hh is height. This relates to the energy due to position, not momentum change.

Step 4

D weight.

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Answer

This option is correct. The rate of change of momentum of a body falling freely under gravity is equal to its weight. The weight (WW) of an object is given by:

W=mgW = mg

where gg is the acceleration due to gravity. The weight provides the force that results in the change of momentum.

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