Newton's Laws of Motion

A large force is acting on a body for a short time. The impulse imparted is equal to the change in _____.

Force is one _____ if a mass of one kilogram gets an acceleration of $1 \mathrm{m} {\mathrm{s}}^{-2}$.

A player caught a cricket ball of mass $150 \mathrm{g}$ moving at a rate of $20 \mathrm{m} {\mathrm{s}}^{-1}$. If the catching process is completed in $0.1 \mathrm{s}$, the force of the blow exerted by the ball on the hand of the player is equal to

A force $F= (300 - {10}^{5}t)$ ($F$ is in $N$ and $t$ is increase) acts on a particle from $t=0$ till $\text{'}F\text{'}$ becomes zero. The impulse imparted to the particle by this force is

A ball of mass $m$ strikes a rigid wall with speed $u$ at an angle of $30°$ with the normal and gets reflected with the same speed and at the same angle, as shown in the figure. If the ball is in contact with the wall for time $t$, then the force experienced by the wall is:

A block of the mass of $\mathrm{1\; kg}$ is moving on the $x$-axis. A force $F$ acting on the block is shown. The velocity of the block at time $t=2\mathrm{ }\mathrm{s}$ is $-3 \mathrm{m} {\mathrm{s}}^{-1}$. What is the speed of the block at time $t=4\mathrm{ }\mathrm{s}$?

A particle of mass $m$ is moving with a uniform velocity ${\nu }_1$ . It is given an impulse such that its velocity becomes ${\nu }_2$ . The impulse is equal to

At time $t$ second, a particle of mass $3 \mathrm{kg}$ has position vector $\overrightarrow{r}$ metre, where $\overrightarrow{\mathrm{r}}=3t\widehat{\mathrm{i}}-4\cos t\widehat{\mathrm{j}}$ The impulse of the force during the time interval $0\le t\le \frac{\mathrm{\pi }}{2}$ is 

A ball of mass $m$ is moving towards a batsman at a speed $v$. The batsman strikes the ball and deflects it by an angle $\mathrm{\theta }$, without changing its speed. The impulse to the ball is given by

At time $\mathrm{t}$ second, a particle of mass 3 kg has position vector $\overrightarrow{\mathrm{r}}$ metre, where $\overrightarrow{\mathrm{r}}=3\mathrm{t}\widehat{\mathrm{i}}-4\cos \mathrm{t}\widehat{\mathrm{j}}.$ The impulse of the force during the time interval $0\le \mathrm{t}\le \frac{\mathrm{\pi }}{2}$ is -

A ball of mass $1\mathrm{ }\mathrm{k}\mathrm{g}$ strikes a wedge of mass $4\mathrm{ }\mathrm{k}\mathrm{g}$ horizontally with a velocity of $10\mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}$. Just after collision, velocity of wedge becomes $4\mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}$. Friction is absent everywhere and collision is elastic. Select the correct alternative.

A particle of mass $\mathrm{m}=9\mathrm{ }\times \mathrm{ }{10}^{-31}$ kg moving towards the wall of a vessel at a velocity of $\mathrm{v}=600\mathrm{ }{\mathrm{m}\mathrm{s}}^{–1}$ strikes it at an angle of $60°$ to the normal and rebounds at the same angle at the same speed. The impulse of the force experienced by the wall during the impact is -

Three stationary particles $A,B,C$ of masses $m_A,m_B$ and $m_C$ are under the action of same constant force for the same time. If $m_A>m_B>m_C$, the variation of momentum of particles with time for each will be correctly shown as

A golf ball of mass 0.05 kg placed on a tee, is struck by a golf club. The speed of the golf ball as it leaves the tee is $100\mathrm{ }\mathrm{m}{\mathrm{s}}^{-1}$, the time of contact between them is 0.02 s. If the force decreases to zero linearly with time, then the average force during the contact is

A ball of mass $0.2 \mathrm{kg}$ is thrown normally against a wall with a speed of $20 \mathrm{m}{\mathrm{s}}^{-1}$. It rebounds normally with a speed of $15 {\mathrm{ms}}^{-1}$. The impulse of the force by the ball on the wall is

Consider the following statement. When jumping from some height, you should bend your knees as you come to rest instead of keeping your legs stiff. Which of the following relations can be useful in explaining the statement?

Impulse is

A particle of mass 2 kg is initially at rest. A force acts on it whose magnitude changes with time. The force- time graph is shown below




The velocity of the particle after 10 s is