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Particle A has less mass than particle B. Both are pushed forward across a frictionless surface...

Particle A has less mass than particle B. Both are pushed forward across a frictionless surface by equal forces for 1 s. Both start from rest.
a) Compare the amount of work done on each particle. That is, is the work done on A greater than, less than, or equal to the work done on B? Explain.

b) Compare the impulses delivered to particle A and B. Explain.

c) Compare the final speeds of particles A and B. Explain.

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Answer #1

a) Particle A has less mass and hence acceleration of particle A will be more. This means particle A will travel more distance than particle B. Since work done is force times distance moved, work done on A will be more than the work done on B

b) Equal forces are applied on both A and B in equal time. Impulse is

Therefore the impulse will be the same for A and B

c) Since work done on particle A will be more, it will have greater kinetic energy. This means final speed of A will be greater than the final speed of B

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