This is a 1-D problem. A force increases linearly with time, F = c * t where c i

Question

This is a 1-D problem. A force increases linearly with time, F = c*t where c is a constant, and acts on an object of mass m. The object is at rest at t=0 and you have to calculate its velocity at a later time T. No other forces are acting on the object. No other information is given to you. Which of the following statements is true and describes a viable strategy to tackle this problem?

A. Energy for this system is conserved and you can easily calculate the final kinetic energy after first finding the potential energy that belongs to F

B. The work-energy theorem is valid. You simply calculate the work done by F between t=0 and t=T by integrating over x to get the final kinetic energy.

C. You only viable option is to use Newton's Second Law to calculate the acceleration a = F(t)/m. Then you integrate once with respect to time to obtain the final velocity.

D. Both B and C are valid strategies

A. Energy for this system is conserved and you can easily calculate the final kinetic energy after first finding the potential energy that belongs to F

B. The work-energy theorem is valid. You simply calculate the work done by F between t=0 and t=T by integrating over x to get the final kinetic energy.

C. You only viable option is to use Newton's Second Law to calculate the acceleration a = F(t)/m. Then you integrate once with respect to time to obtain the final velocity.

D. Both B and C are valid strategies

Explanation / Answer

B. The work-energy theorem is valid. You simply calculate the work done by F between t=0 and t=T by integrating over x to get the final kinetic energy.

C. You only viable option is to use Newton's Second Law to calculate the acceleration a =F(t)/m. Then you integrate once with respect to time to obtain the final velocity.

Both B and C ar valid strategies

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