Two particles of equal mass m are projected from the ground with speed v 1 and v 2 at angle θ 1 and θ 2 ( θ 1 , θ 2 ≠ 0 , 180 ° ) as shown in the figure. The centre of mass of the two particles

will move in a parabolic path for any values of v 1 , v 2 , θ 1 and θ 2 .

will move in a straight line for any value of v 1 , v 2 , θ 1 and θ 2 .

EASY

JEE Main/Advance

IMPORTANT

Earn 100

If a ball is thrown upwards from the surface of earth then initially (assuming that there is no external force on the system):

50% studentsanswered this correctly

Important Questions on Centre of Mass, Momentum and Collisions

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 1>Q 50

Internal forces in a system can change

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 1>Q 51

Two balls of different masses are thrown in the air with different velocities. While they are in air acceleration of the centre of mass of the system (neglect air resistance)

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 1>Q 52

There are two particles of the same mass. If one of the particles is at rest always and the other has an acceleration

\vec{a}

. Acceleration of centre of mass is

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 1>Q 53

A body of mass

1 kg

moving in the

x

-direction suddenly explodes into two fragments of mass

\frac{1}{8} kg

and

\frac{7}{8} kg

. An instant later, the smaller fragment is

0.14 m

above the

x ‐

axis. The position of the heavier fragment is

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 1>Q 54

Two particles of equal mass $m$ are projected from the ground with speed $v_{1}$ and $v_{2}$ at angle $θ_{1}$ and $θ_{2}$ $(θ_{1}, θ_{2} \neq 0, 180 °)$ as shown in the figure. The centre of mass of the two particles

Question Image

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 1>Q 55

Two particles $A$ and $B$ , initially at rest, move towards each other under a mutual force of attraction. The speed of centre of mass, at the instant when the speed of $A$ is $V$ and the speed of $B$ is

2 V

, is

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 1>Q 56

If the

KE

of a particle becomes four times its initial value, then the new momentum will be more than its initial momentum by,

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 9 - Centre of Mass, Momentum and Collisions>Exercise - 1>Q 57

500 kg

boat has an initial speed of

10 m s^{- 1}

as it passes under a bridge. At that instant a

50 kg

man jumps straight down into the boat from the bridge. The speed of the boat after the man and boat attaining a common speed is

If a ball is thrown upwards from the surface of earth then initially (assuming that there is no external force on the system):

Important Questions on Centre of Mass, Momentum and Collisions

Learn and Prepare for any exam you want !