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A body of mass 10 kg is acted upon by a ...

A body of mass 10 kg is acted upon by a force given by equation ` F=(3t^(2)-30)` Newtons. The initial velocity of the body is 10 m/s. The velocity of the body after 5 secs. is

A

4.5m//s

B

6m//s

C

7.5m//s

D

5m//s

Text Solution

Verified by Experts

The correct Answer is:
c
`m[v-u]= int Fdt`
`int(3t^(2)-30)dt`
`3t^(3)/3-t=t^(3)-30 t`
At=5s,
`m[v-u]=(5)^(3)-30(5)=-25`
10[v-10]=-25
v=7.5m//s
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Knowledge Check

  • A body of mass 1 kg is moving with velocity 30 ms^(-1) due north. It is acted on by a force of 10 N due west for 4 seconds. Find the velocity of the body after the force ceases to act.

    A
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    B
    `100 m//s , tan^(-1) (4/3)`
    C
    `50 m//s , tan^(1) (3/5)`
    D
    `100 m//s , tan^(-1) (4/5)`

  • A body of mass 1 kg is moving with velocity 30 ms^(-1) due north. It is acted on by a force of 10 N due west for 4 seconds. Find the velocity of the body after the force ceases to act.

    A
    `50m//s , tan^(-1) (3/4)`
    B
    `100m//s , tan^(-1) (4/3)`
    C
    `50m//s, tan^(-1) (3/5)`
    D
    `100 m//s, tan^(-1) (4/5)`

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