A bicyclist comes to a skidding stop in 10 m . During this process, the force on the bicycle due to the road is 200 N and is directly opposed to the motion. The work done by the cycle on the road is

A body is falling freely under the action of gravity alone in vaccum. Which of the following quantities remain constant during the fall?

During inelastic collision between two bodies, which of the following quantities always remain conserved?

Two inclined frictionless tracks, one gradual and the other steep meet at A from where two stones are allowed to slide down from rest, one on each track as shown in figure. Which of the following statement is correct?

The potential energy function for a particle executing linear SHM is given by $$V(x)=\frac{1}{2} k x^2$$ where $$k$$ is the force constant of the oscillator (Fig). For $$k=0.5 \mathrm{~N} / \mathrm{m}$$, the graph of $$V(x)$$ versus $$x$$ is shown in the figure. A particle of total energy $$E$$ turns back when it reaches $$x= \pm x_m$$. If $$V$$ and $$K$$ indicate the PE and KE, respectively of the particle at $$x=+x_m$$, then which of the following is correct?