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Consider two frames of reference S and S', the first one being fixed to the ground and the second one fixed to a moving train moving with 5.00m/s with respect to the ground (figure). A block of mass 4.00kg, initially at rest with respect to S', is acted upon by a 14.0N force for 3.00 in the positive x direction. Neglect friction.

According to an observer in S', what are the corresponding quantities?

A

the initial kinetic energy of the block is zero

B

final kinetic energy 220.5J

C

the change in kinetic energy 220.5J

D

the work done by the force on the block is 220.5J

Text Solution

Verified by Experts

`v=0+(7)/(2)xx3=(21)/(2)`
`k_(r)=(1)/(2)xx4xx(21xx21)/(4)=(441)/(2)=220.5J`
`s=0+(1)/(2)xx(7)/(2)xx9=(63)/(4)`
`w=14xx(63)/(4)=(441)/(2)=220.5J`
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