Embibe Experts Solutions for Chapter: Laws of Motion, Exercise 2: Exercise-2

A cylinder rests in a supporting carriage as shown. The side $AB$ of carriage makes an angle $30°$ with the horizontal and side $BC$ is vertical. The carriage lies on a fixed horizontal surface and is being pulled towards left with a horizontal acceleration $a$. The magnitude of normal reactions exerted by sides $AB$ and $BC$ of carriage on the cylinder are $N_{\mathrm{AB}}$ and $N_{\mathrm{BC}}$, respectively. Neglect friction everywhere. Then, as the magnitude of acceleration $a$ of the carriage is increased, pick up the correct statement.

System shown in figure is in equilibrium. The magnitude of change in tension in the string just before and just after, when one of the spring is cut. Mass of both the blocks is same and equal to $m$ and spring constant of both springs is $k.$ (Neglect any effect of rotation)

Assertion: Block $A$ is moving on horizontal surface towards right under action of force $F$. All surfaces are smooth. At the instant shown, the force exerted by block $A$ on block $B$ is equal to net force on block $B$. 

Reason: From Newton's third law, the force exerted by block $A$ on $B$ is equal in magnitude to force exerted by block $B$ on $A$.

Assertion: A man standing in a lift which is moving upward will feel his weight to be greater than when the lift was at rest.

Reason: If the acceleration of the lift is $a$ upwards, then the man of mass $m$ shall feel his weight to be equal to normal reaction $\left(N\right)$ exerted by the lift given by, $N=m(g+a)$ (where, $g$ is acceleration due to gravity).

Assertion : According to the Newton's third law of motion, the magnitude of the action and reaction force in an action reaction pair is same only in an inertial frame of reference.

Reason : Newton's laws of motion are applicable in every inertial reference frame.

Assertion : 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.

Assertion: Mass is a measure of inertia of the body in linear motion.

Reason: Greater the mass, the greater is the force required to change its state of rest or uniform motion.

Assertion: The slope of momentum versus time curve give us the acceleration.

Reason: Acceleration is given by the rate of change of momentum.