NEET Questions

The equation for kinetic energy ($KE = \frac{1}{2}mv^2$) is derived using which fundamental equations?

If the percentage errors in the measurement of mass and velocity are 2% and 3% respectively, what is the maximum percentage error in the estimation of kinetic energy?

A small ball attached to a massless string is undergoing vertical circular motion. At the highest point of its trajectory, the tension in the string is zero. Which of the following statements is TRUE about the ball's mechanical energy as it moves from the highest point to the lowest point in the circle?

A solid sphere rolls without slipping down an inclined plane of angle $heta$. What fraction of its total kinetic energy is rotational?

A particle of mass $m$ moving with velocity $v$ collides elastically with another particle of mass $2m$ at rest. If the lighter particle is deflected through an angle of $90^\circ$, the fractional loss in its kinetic energy is:

Two identical balls A and B are moving with velocities $v$ and $2v$ respectively, having the same kinetic energy. The ratio of their masses is:

A body of mass $m$ is moving in a circular path of radius $r$ with a constant speed $v$. The work done by the centripetal force in half a revolution is:

A particle is projected with kinetic energy $K$ at an angle of $60^\circ$ with the horizontal. The kinetic energy of the particle at the highest point of its trajectory will be:

A block of mass $m$ is released from rest at a height $h$ on a smooth inclined plane of inclination $heta$. The kinetic energy of the block at the bottom of the incline is:

A particle moves in one dimension under the influence of a conservative force with potential energy $U(x) = ax^3 - bx$, where $a$ and $b$ are positive constants. The equilibrium position of the particle is at: