Work Energy and...

A force $$F=Ay^{2}+By+C$$ acts on a body in the $$y$$ direction, The work done by this force during a displacement from $$y=-a$$ to $$y=a$$ is

Gravel is dropped on a conveyor belt at the rate of $$2kg/s$$. The extra force required to keep the belt moving at $$3 ms^{-1}$$ is

A ball of mass $$5$$ kg experiences a force $$F=2x^{2}+x$$. Work done in displacing the ball by $$2$$ m is 

A body of mass 0.5 kg travels in a straight line with velocity $$v=ax^{3/2}$$ where $$a=5m^{-1/2}s^{-1}$$. the work done by the net force during its displacement from $$x=0$$ to $$x=2m$$ is  

A car is travelling at 5 m/s up a gradient of 1 in 20. The car weight 6 tonnes and the friction is 48 kg wt. The work done per second in maintaining the motion of car up the gradient is $$(g=10ms^{-2}$$)

A force acts on a $$20g$$ particle in such a way that the position of the particle as a function of time is given by $$x=3t-4t^2+t^3$$, where x is in meters and $$t$$ is in seconds. The work done during the  first $$4sec$$ is:

If a resultant force of $$30N$$ acts on a body of mass $$6kg$$.What is the acceleration of the body?

A force of $$F = 2x\hat{i} + 2\hat{j} + 3z^{2}\hat{k} N$$ is acting on a particle. Find the work done by this force in displacing the body from (1,2,3) into (3,6,1) m.

Two wires of the same diameter of the same material having the length $$\ell$$ and $$2\ell$$. If the force is applied on each, the ratio of the work done in the two will be

A particle of mass 1 kg is projected under gravity at an angle $${ 37 }^{ o }$$ with horizontal with 50 m/s. Instantaneous power delivered by gravity at t=1s is $$\left( sin{ 37 }^{ o }=\frac { 3 }{ 5 } ,cos{ 37 }^{ o }=\frac { 4 }{ 5 }  \right) $$