A bullet of 4 g mass is fired from a gun of mass 4 kg . If the bullet moves with the muzzle speed of 50 ms 1 , the impulse imparted to the gun and velocity of recoil of gun are

0 . 2 kg m s - 1 , 0 . 05 m s - 1

0 . 4 kg m s - 1 , 0 . 1 m s - 1

0 . 2 kg m s - 1 , 0 . 1 m s - 1

0 . 4 kg m s - 1 , 0 . 05 m s - 1

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Two billiard balls of equal mass $30 g$ strike a rigid wall with same speed of $108 km h^{- 1}$ (as shown) but at different angles. If the balls get reflected with the same speed, then the ratio of the magnitude of impulses imparted to ball $a$ and ball $b$ by the wall along $X$ direction is:

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Important Questions on Laws of Motion

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IMPORTANT

Physics Crash Course NEET>Chapter 3 - Laws of Motion>Level 2>Q 3

Two particles of masses

m_{1}

and

m_{2}

in projectile motion have velocities

{\vec{v}}_{1}

and

{\vec{v}}_{2}

, respectively, at time

t = 0

. They collide at time

t_{0}

. Their velocities become

{\vec{v}'}_{1}

and

{\vec{v}'}_{2}

at time

2 t_{0}

while still moving in air. The value of

| (m_{1} \vec{v}'_{1} + m_{2} {\vec{v}'}_{2}) - (m_{1} {\vec{v}}_{1} + m_{2} {\vec{v}}_{2}) |

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Physics Crash Course NEET>Chapter 3 - Laws of Motion>Level 2>Q 4

A pulley of radius

2 m

is rotated about its axis by a force

= (20 t - 5 t^{2})

newton (where

t

is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is

10 kg m^{2},

the number of rotation made by the pulley before its direction of motion is reversed is

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Physics Crash Course NEET>Chapter 3 - Laws of Motion>Level 2>Q 5

A simple pendulum is suspended from the ceiling of a car taking a turn of radius

10 m

at a speed of

10 m s^{- 1} .

Find the angle made by the string of the pendulum with the vertical if this angle does not change during the turn. (Assume

g = 10 m s^{- 2}

)

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Physics Crash Course NEET>Chapter 3 - Laws of Motion>Level 2>Q 6

A small object placed on a rotating horizontal turn table just slips when it is placed at a distance of

4 cm

from the axis of rotation, if the angular velocity of the turn-table is doubled, the object slips when its distance from the axis of rotation is

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Physics Crash Course NEET>Chapter 3 - Laws of Motion>Level 2>Q 7

A motorcycle is going on an over bridge of radius

R

. The driver maintains a constant speed. As the motorcycle is ascending on the over bridge, the normal force on it is

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Physics Crash Course NEET>Chapter 3 - Laws of Motion>Level 2>Q 8

A car moves at a speed of

36 {kmh}^{- 1}

on a level road. The coefficient of friction between the car tyres and the road is

0.8

. The car negotiates a curve of radius

R

. If

g = 10 {ms}^{- 2}

, the car will skid (or slip) while negotiating the curve, if the value of

R

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Physics Crash Course NEET>Chapter 3 - Laws of Motion>Level 2>Q 9

A sphere of mass

m

is tied to end of a string of length

l

and rotated through the other end along a horizontal circular path with speed

v

. The work done in full horizontal circle is

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Physics Crash Course NEET>Chapter 3 - Laws of Motion>Level 2>Q 10

An automobile moving with a speed of

36 km h^{- 1}

reaches an upward inclined road of angle

30 °,

its engine becomes switch off. If the coefficient of friction is

0.1

, then how much distance will automobile move before coming to rest?

Two billiard balls of equal mass 30 g strike a rigid wall with same speed of 108 km h-1 (as shown) but at different angles. If the balls get reflected with the same speed, then the ratio of the magnitude of impulses imparted to ball a and ball b by the wall along X direction is:

Important Questions on Laws of Motion

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Two billiard balls of equal mass $30 g$ strike a rigid wall with same speed of $108 km h^{- 1}$ (as shown) but at different angles. If the balls get reflected with the same speed, then the ratio of the magnitude of impulses imparted to ball $a$ and ball $b$ by the wall along $X$ direction is: