Home
Class 12
PHYSICS
A body of mass 10 kg is being acted upon...

A body of mass 10 kg is being acted upon by a force `3t^2` and an opposing constant force of 32 N. The initial speed is `10 ms^-1.`The velocity of body after 5 s is

A

`14.5 ms^(-1)`

B

` 6.5ms ^(-1) `

C

` 3.5ms ^(-1) `

D

` 4.5 ms ^(-1) `

Text Solution

Verified by Experts

The correct Answer is:
B
` F= 3t^(2) -32 a=(F)/(m) =(1)/(10 ) (3t^(2) -32) =0.3t^(2) -3.2`
` a =(dV)/(dt) rArr int _(10 )(V) dV =int _0^(t) (0.3t ^(2) -3.2)dt `
` rArr " "V-10 =0.1 t^(3) -3.2 t " "rArr at t =5 sec , v = 6.5 m//s `
Promotional Banner

Similar Questions

Explore conceptually related problems

A body of mass 10 kg is 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 sec. is

A body of mass 10 kg is acted upon by two perpendicular forces , 6 N and 8 N . The resultant acceleration of the body is

A body of mass 3 kg at rest is acted upon by a force and the body moves through a distance 20 m in 5 s. Force on the body is

A body of mass 10kg is acted upon by two per pendicular forces 6N and 8N . The resultant ac-celeration of the body is .

A body of mass 10kg is acted upon by two perpendicular force, 6N . The resultant acceleration of the body is.

A body of mass 10 kg is moving in a circle of radian 1 m with an angular velocity of 2 rad//s the centripetal force is

A body of mass m=10^(-2) kg is moving in a medium and experiences a frictional force F=-KUPSILON^(2). Its initial speed is upsilon_(0)=10ms^(-2) . If , after 10s , its energy is (1)/(8)m upsilon_(0)^(2) , the value of k will be

If a body of mass 5 kg initially at rest is acted upon by a force of 50 dyne for 3s, then the impulse will be

A body of mass 10kg at rest is acted upon simultaneously by two forces 4 N and 3 N at right angles to each other. The kinetic energy of the body at the end of 10 sec is