If a skater of weight 3 kg has initial speed 32 m/s and second one of weight 4 kg has 5 m/s. After collision, they have speed (couple) 5 m/s. Then the loss in K.E. is

(1) 48 J

(2) 96 J

(3) Zero

(4) None of these

Concept Questions :-

Linear momentum
High Yielding Test Series + Question Bank - NEET 2020

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A metal ball of mass 2 kg moving with a velocity of 36 km/h has an head on collision with a stationary ball of mass 3 kg. If after the collision, the two balls move together, the loss in kinetic energy due to collision is

(1) 40 J

(2) 60 J

(3) 100 J

(4) 140 J

Concept Questions :-

Linear momentum
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A body of mass 2kg is moving with velocity 10 m/s towards east. Another body of same mass and same velocity moving towards north collides with former and coalsces and moves towards north-east. Its velocity is

(1) 10 m/s

(2) 5 m/s

(3) 2.5 m/s

(4) $5\sqrt{2}\text{\hspace{0.17em}}m/s$

Concept Questions :-

Linear momentum
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Which of the following is not a perfectly inelastic collision

(1) Striking of two glass balls

(2) A bullet striking a bag of sand

(3) An electron captured by a proton

(4) A man jumping onto a moving cart

Concept Questions :-

Linear momentum
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Difficulty Level:

A neutron having mass of $1.67×{10}^{-27}kg$ and moving at ${10}^{8}m/s$ collides with a deutron at rest and sticks to it. If the mass of the deutron is $3.34×{10}^{-27}kg$ then the speed of the combination is

(1) $2.56×{10}^{3}m/s$

(2) $2.98×{10}^{5}m/s$

(3) $3.33×{10}^{7}m/s$

(4) $5.01×{10}^{9}m/s$

Concept Questions :-

Linear momentum
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Difficulty Level:

A body of mass m1 is moving with a velocity V. It collides with another stationary body of mass m2. They get embedded. At the point of collision, the velocity of the system

(1) Increases

(2) Decreases but does not become zero

(3) Remains same

(4) Become zero

Concept Questions :-

Linear momentum
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Difficulty Level:

A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embedded into it. The kinetic energy of the composite block will be

(1) $\frac{1}{2}m{v}^{2}×\frac{m}{\left(m+M\right)}$

(2) $\frac{1}{2}m{v}^{2}×\frac{M}{\left(m+M\right)}$

(3) $\frac{1}{2}m{v}^{2}×\frac{\left(M+m\right)}{M}$

(4) $\frac{1}{2}M{v}^{2}×\frac{m}{\left(m+M\right)}$

Concept Questions :-

Linear momentum
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Difficulty Level:

Consider the following two statements

1. Linear momentum of a system of particles is zero

2. Kinetic energy of a system of particles is zero Then

(1) 1 implies 2 and 2 implies 1

(2) 1 does not imply 2 and 2 does not imply 1

(3) 1 implies 2 but 2 does not imply 1

(4) 1 does not imply 2 but 2 implies 1

Concept Questions :-

Linear momentum
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Difficulty Level:

A shell is fired from a cannon with velocity v m/sec at an angle θ with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon. The speed (in m/sec) of the other piece immediately after the explosion is

(1) 3v cos θ

(2) 2v cos θ

(3) $\frac{3}{2}v\mathrm{cos}\theta$

(4) $\frac{\sqrt{3}}{2}v\mathrm{cos}\theta$

Concept Questions :-

Linear momentum
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A vessel at rest explodes into three pieces. Two pieces having equal masses fly off perpendicular to one another with the same velocity 30 meter per second. The third piece has three times mass of each of other piece. The magnitude and direction of the velocity of the third piece will be

(1) $10\sqrt{2}\text{\hspace{0.17em}}m/second$ and 135° from either

(2) $10\sqrt{2}\text{\hspace{0.17em}}m/second$ and 45° from either

(3) $\frac{10}{\sqrt{2}}\text{\hspace{0.17em}}m/second$ and 135° from either

(4) $\frac{10}{\sqrt{2}}\text{\hspace{0.17em}}m/second$ and 45° from either

Concept Questions :-

Linear momentum