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This mock test of Centre Of Mass MCQ Level - 1 for IIT JAM helps you for every IIT JAM entrance exam.
This contains 10 Multiple Choice Questions for IIT JAM Centre Of Mass MCQ Level - 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

A particle of mass ** m** moving with velocity

(A)

(B)

Solution:

Equation ** A** is correct but not

⇒ 1(

⇒

The correct answer is: Equation

QUESTION: 2

The centre of the mass of the shaded portion of the disc is : (The mass is uniformly distributed in the shaded portion) :

Solution:

The correct answer is: R/20 to the left of A

QUESTION: 3

A man of mass * M* hanging with a light rope which is connected with a balloon of mass

Solution:

Initially

since no external force is acting

∴ COM should be at rest

Let balloon descend by a distance *x*.

* Mh* = (

** **(Distance descend by balloon)

(Distance raised by man)

The correct answer is:

QUESTION: 4

The block of mass * M* moving on the frictionless horizontal surface collides with the spring of spring constant

Solution:

According to conservation of energy

*MkL*** ^{2}** =

The correct answer is:

QUESTION: 5

A particle of mass 4* m* which is at rest explodes into three fragments. Two of the fragments each of mass

Solution:

The correct answer is: (3/2) mv^{2}

QUESTION: 6

Find the position of centre of mass of the uniform planar sheet shown in figure with respect to the origin (*O*) :

Solution:

QUESTION: 7

A ball of mass * m* strikes the fixed inclined plane after falling through a height

Solution:

Here ** e** = 1

If ball rebounded elastically

∴ Along line of impact momentum conservation

Along line of impact

The correct answer is:

QUESTION: 8

The spacecraft of mass ** M** moves with velocity

Solution:

Initial momentum of the system P_{i} = MV

Let the mass of one part be m

Its velocity V = 0

So, mass of other part m′ = M − m

Let its velocity be V′.

Final momentum of the system Pf = mV + m′V′

Or P_{f} = 0+(M−m)V' = (M−m)V′

Applying the conservation of linear momentum P_{f} = P_{i}

∴ (M−m)V' = MV

⟹ V'= MV/(M-m)

QUESTION: 9

A ball impinges directly on a similar ball at rest. The first ball is brought to rest by the impact. If half the kinetic energy is lost by impact. What is the value of the coefficient of restitution?

Solution:

The correct answer is: 1/√2

QUESTION: 10

A bullet of mass * a* and velocity

Solution:

From momentum conservation * P_{i}* =

The correct answer is:

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