A particle of mass M moves along a straight line with initial speed vi. A force of magnitude F pushes the particle a distance s along the direction of its motion. Find vf, the particle’s final speed after the particle has traveled a distance s . Express your answer in terms of vi, M, F, and s For the next two parts, assume that the particle's mass is increased to 3M, while all other parameters in the problem introduction remain the same. By what multiplicative factor, RT, does the initial kinetic energy increase, and by what multiplicative factor, RU, does the work done by the force increase (with respect to the casewhen the particle had a mass M)? If one of the quantities doubles, for instance, it would increase by a factor of 2. If a quantity stays the same, then the multiplicative factor would be 1. The particle's change in speed over the distance s will be _____ the change in speed when the particle had a mass equal to M. For the final two parts, assume that the initial speed of the particle is increased to 3vi, with the particle's mass once again equal to M. By what factor, RT, does the initial kinetic energy increase (with respect to the first scenario, with mass M and speed vi), and by what factor, RU, does the work done by the force increase? The particle's change in speed over the distance s will be _____ the change in speed when the particle had an initial speed equal to vi
A particle of mass M moves along a straight line with initial speed vi. A force of magnitude F pushes the particle a distance s along the direction of its motion.
Find vf, the particle’s final speed after the particle has traveled a distance s
.
Express your answer in terms of vi, M, F, and s
For the next two parts, assume that the particle's mass is increased to 3M, while all other parameters in the problem introduction remain the same.
By what multiplicative factor, RT, does the initial kinetic energy increase, and by what multiplicative factor, RU, does the work done by the force increase (with respect to the casewhen the particle had a mass M)?
If one of the quantities doubles, for instance, it would increase by a factor of 2. If a quantity stays the same, then the multiplicative factor would be 1.
The particle's change in speed over the distance s will be _____ the change in speed when the particle had a mass equal to M.
For the final two parts, assume that the initial speed of the particle is increased to 3vi, with the particle's mass once again equal to M. By what factor, RT, does the initial kinetic energy increase (with respect to the first scenario, with mass M and speed vi), and by what factor, RU, does the work done by the force increase?
The particle's change in speed over the distance s will be _____ the change in speed when the particle had an initial speed equal to vi
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