Second Law of Motion

Read the following statements and choose the correct option:
Statement: Newton's second law of motion gives the measurement of force. 
Reason: According to Newton's second law of motion, force is directly proportional to the rate of change of momentum. 

The velocity-time graph of a ball of mass $20 \mathrm{g}$ moving along a straight line on a long table is given in figure.The force exerted by the table on the ball to bring it to rest is :

A light and a heavy object have same momentum, then:

A machine gun fires a bullet of mass $40$ gram at a speed of $1200 \mathrm{m} {\mathrm{s}}^{-1}$. The man holding it can exert a maximum force of $144 \mathrm{N}$ on the gun. How many bullets can he fire per second at the most?

The variation in momentum with time, for a body under collision is shown in figure. The maximum & minimum instantaneous forces are respectively on these points:

A force ‘F’ is applied on one end of a rope of length ‘a’. P and Q are two points of length ‘b’ from nearest end. The ratio of tensions in string at P & Q is :

An object of mass $10 \mathrm{gm}$ is moving with an acceleration of $10 \mathrm{m}/{\mathrm{s}}^2$. Force acting on the object will be:

Among the following, the body possessing highest momentum is :

In a two body collision, the momentum is varying with time as shown in graph. The instantaneous force is maximum at: 

A dynamometer D is attached to two masses $m_1=3 \mathrm{kg}$ and $m_2=5 \mathrm{kg}$. Forces of $f_1=9 \mathrm{N}$ and $f_2=25 \mathrm{N}$ are applied to the masses as shown.

The dynamometer will read :

A particle of mass $0.3 \mathrm{kg}$ is subjected to a force $F = Kx$with $K = 15 \mathrm{N}/\mathrm{m}$, what will be its acceleration if it is released from a point $x = 20 \mathrm{cm}.$

What is the SI unit of momentum?

Unit of momentum is :

Which is the unit of Force?

A scooter of mass$150 \mathrm{kg}$ is moving with a uniform velocity of $108\mathrm{km}/\mathrm{h}$. Then the force required to stop the vehicle in $10 \mathrm{s}$is

A hammer weighing $3 kg$, moving with a velocity of$10\frac{m}{s}$ , strikes against the head of a spike and drives, it into a block of wood. If the hammer comes to rest in $0.025 s$,the impulse associated with the hammer will be 

The graphs of acceleration gained by $K$ and $L$ under the force are as shown in the figure.

Which of the following statements are true?

$1$. The acceleration of $K$ is greater than $L$ at the same net force effect.

$2$. More net force must act on $L$ so that they gain the same acceleration.

$3$. The mass of $K$ is greater than that of $L$.

 Acceleration-force graph of the $X, Y, Z$ bodies are shown in the diagram. If mass of $Z$ is $m.$

Then, what is the mass of $X$ and $Y$?

A balloon has $2\times {10}^{-3} \mathrm{kg}$ of air. A small hole is pierced into it. The air comes out with a velocity of $4 \mathrm{m}/\mathrm{s}$. When the ball shrinks completely in $2.5 \mathrm{s}$, the average force acting on the balloon is

When $F_{1,}$ force is applied the mass of $2kg$ moves with a constant speed. When a force of $50N$ is applied under the same environment.

As in Figure $II,$ what is its acceleration in $\frac{m}{s^2}.$