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A block of mass m sits at rest on a fric...

A block of mass `m` sits at rest on a frictionless table in a rail car that is moving with speed `v_(c)` along a straight horizontal track (fig.) A person riding in the car pushes on the block with a net horizontal force `F` for a time `t` in the direction of the car's motion.

What is the final speed of the block according to a person in the car ?

A

`(Ft)/(m)`

B

`(2Ft)/(m)`

C

`-(Ft)/(m)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
`V = u + at = 0 + (Ft)/(m)`.
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Knowledge Check

  • A block of mass m sits at rest on a frictionless table in a rail car that is moving with speed v_(c) along a straight horizontal track (fig.) A person riding in the car pushes on the block with a net horizontal force F for a time t in the direction of the car's motion. How much did K.E of the block change according to the person in the car ?

    A
    `(F^(2)t^(2))/(2m)`
    B
    `(F^(2) t^(2))/(m)`
    C
    `(2F^(2)t^(2))/(m)`
    D
    None of these

  • A block of mass m sits at rest on a frictionless table in a rail car that is moving with speed v_(c) along a straight horizontal track (fig.) A person riding in the car pushes on the block with a net horizontal force F for a time t in the direction of the car's motion. According to the person on the ground. The change in KE of block is

    A
    `(m(V_(c)+(Ft)/(m))^(2))/(2)-(mv_(c)^(2))/(2)`
    B
    `(m(V_(c)+(Ft)/(m))^(2))/(2)+(mv_(c)^(2))/(2)`
    C
    `(mv_(c)^(2))/(2) -(m(V_(c)+(Ft)/(m))^(2))/(2)`
    D
    None of these

  • A block of mass m sits at rest on a frictionless table in a rail car that is moving with speed v_(c) along a straight horizontal track (fig.) A person riding in the car pushes on the block with a net horizontal force F for a time t in the direction of the car's motion. According to the person on the ground. The displacement of block is

    A
    `(Ft^(2))/(2m) +2v_(c)t`
    B
    `(Ft^(2))/(2m) +v_(c)t`
    C
    `(Ft^(2))/(m)+ v_(c) t`
    D
    `(Ft^(2))/(2m) -v_(c) t`

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