JEE PHYSICS MCQ: LAWS OF MOTION

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Analyzing +4 | -1

A sphere of mass

m

is rolling without sliding along positive

x

-axis on a rough horizontal surface of coefficient of friction

\mu

. It elastically collides with a wall and then returns. The correct statement of frictional force

(f)

acting on the sphere is

View answer and explanation

Correct option: B

{f}=0 {mg} \vec{i}

before collision and

{f}=+\mu{mg} \vec{i}

after collision

Option D (

{f}=0 {mg} \vec{{i}}

before collision and

{f}=+\mu{mg} \vec{{i}}

after collision) is correct because before the collision, the sphere is in pure rolling, so friction is zero. After the elastic collision, the sphere slips, and kinetic friction acts.

More Questions from LAWS OF MOTION

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A machine gun has a mass

5 {~kg}

. It fires 50 gram bullets at the rate of 30 bullets per minute at a speed of

400 {~ms}^{-1}

. What force is required to keep the gun in position? A particle of mass

4 {~m}

which is at rest explodes into three fragments. Two of the fragments each of mass

m

are found to move with a speed of

v

each in mutually perpendicular direction. The total energy released in the process is A block of mass ‘m’ rests on a rough inclined plane making an angle

30^\circ

with the horizontal. The co-efficient of static friction between the block and the plane is 0.8. If force of friction on the block is 10 N, the mass of the block is

\left( {g = 10\,m{s^{ - 2}}} \right).

Statement-1: A shell at the origin explodes into three pieces of masses

1 \mathrm{~kg}, 2 \mathrm{~kg}

and

m \mathrm{~kg}

. The

1 \mathrm{~kg}

and

2 \mathrm{~kg}

pieces fly off with speeds

12 \mathrm{~m} / \mathrm{s}

along the

x

-axis and

8 \mathrm{~m} / \mathrm{s}

along the

y

-axis respectively. If

{m} \,\mathrm{kg}

piece flies off with speed

40 \mathrm{~m} / \mathrm{s}

, the total mass of the shell must be

3.5 \mathrm{~kg}

.
Statement-2: The law of conservation of linear momentum holds good. For a system to follow the law of conservation of linear momentum during a collision , the condition is
Total external force acting on the system is zero.
Total external force acting on the system finite and time of collision is negligible.
Total internal force acting on the system is zero. If force on a rocket having exhaust velocity of

300 \mathrm{~m} / \mathrm{sec}

is 210 N, then rate of combustion of the fuel is: