Home
Class 11
PHYSICS
A constant force of 2.50 N accelerates a...

A constant force of 2.50 N accelerates a stationary particle of mass 15 g through a displacement of 2.50 m. Find the work done and the average power delivered.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`F=2.50N, S=2.5m, m=15g`
`=0.015kg`
So, `w=F.S`
a=F/m=2.5/0.015`
`500/3 m/s^2=F.S cos0^0`
(acing along the same line)
`=2.5xx2.5=6.25J`
Let the veolocity of the body at B=v
Applyng work energy principle,
`1/2 mv^2-0=6.25`
`rarr v=sqrt9(6.25xx2)/0.15)=28.86 m/sec`
So, time taken to travel from A to B,
`t=(v-u)/a =((28.86)xx3)/500`
`:.` Average powere `=W/t`
`=(6.25xx500)/((28.86)xx3)=36.1W`
Promotional Banner

Similar Questions

Explore conceptually related problems

The motion of a particle of mass m is described by y = ut + 1/2 "gt"^2 . Find the force acting on the particle.

A force of 5 N is acting on an object. The object is displaced through 2m in the direction of force. If the force acts on the object all through the displacement, then find the work done on the object.

A particle of mass 10 g is kept of the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere. (Take G = 6.67 xx 10^(-11) Nm^(2)//kg^(2) ?

A body of mass 2 kg is rest on a smooth horizontal surface . When a horizontal force of 0.5 N acts on this bofy it is displaced in the direction of the force . Find the work done by the force in 8.0 s .Show that this work is equal to the change in kinetic energy of the body .

A constant force of 1 N is applied on an object. The body displaces 1 m in the direction of the force. Then work done is ……………. J

A force (3hati+2hatj) N displaces an object through a distance (2hati-3hatj) m. The work done is :

A constant retarding force of 50 N is applied to a body of mass 20 kg moving initially with a speed of 15 m s^(-1) . How long does the body take to stop ?

A constant force of 100 N should be applied to a stationary object of mass 20 kg for duration of .......... so that its velocity would be 100 m s^(-1)