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Assertion: A quick collisions between tw...

Assertion: A quick collisions between two bodies is more violent than a slow collisions even when the initial and the final velocities are identical
Reason: Because the rate of change of momentum which determines the force is greater in the first case.

A

If both assertion and reason are true and the reason is the correct explanation of the assertion.

B

If both assertion and reason are true but reason is not the correct explanation of the assertion.

C

If assertion is true but reason is false.

D

If the assertion and reason both are false.

Text Solution

Verified by Experts

The correct Answer is:
A
`DeltaP = F xx t, t darr F uarr` [ `DeltaP ` = constant].
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Assertion: A quick collision between two bodies is more violent that show collision , even when initial and final velocity are identical. Reason: The rate of change of momentum determine that force is small or large.

Assertion : In case of elastic collision between two objects , speed of approach is same as speed of separation . Reason : In case of elastic collision between two objects , linear momentum of the system remains conserved .

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The elastic collision between two bodies, A and B can be considered using the following model. A and B are free to move along a common line with out friction. When separation between the surfaces is greater then d= 1m,the interacting force is zero, when their distance less than d, a constant repulsive force F= 6N is present. The mass of body A ism_(A) = 1kg and it is initially at rest. The mass of body B is m_(B) = 3kg and it is approaching towards A with a speed v_(0) = 2 m//s. Then choose the correct option(s).

Anwer carefully, with reasons: a) In an elastic collision of two billiard balls, is the total kinetic energy conserved during the short time of collision of the balls (i.e. when they are in contact)? Is the total linear momentum conserved during the short time of an elastic collision of two balls? c) What are the answers to a) and b) for an inelastic collision? d) If the potenital energy of two billiard balls depends only on the separation distance between their centers, is the collision elastic or inelastic? (note we are talking here of potential energy corresponding to the force during collision, not gravitational potential energy).

An object of mass 500 g moving with a speed of 10 m s^(-1) collides with another object of mass 250 g moving with a speed of 2 m s^(-1) in the opposite direction. After collision both the objects move in the same direction with common velocity. Write the proper order of steps to find out their common velocity after collision. (a) Calculate the total momentum of two bodies before collision as m_(1) u_(1) + m_(2) u_(2) . (b) Write down the given values of m_(1) and m_(2) in SI system (c ) Write the expression for their total momentum after collision as (m_(1) + m_(2)) v where v is their common velocity. (d) Assign proper signs to the initial velocities u_(1) and u_(2) . (e) Using law of conservation of momentum Equate the above two expressions and determine the value of v as (m_(1) u_(1) + m_(2) u_(2))/(m_(1) + m_(2))

Assertion : When two real bodies collide then K.E of the system first decreases and then increases . Reason : At the time collision bodies are first deformed and then due to elasticity bodies try to reform again.

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