Question

In: Physics

4) Two carts collide on a level track. Cart A has mass of 3 kg and...

4) Two carts collide on a level track. Cart A has mass of 3 kg and cart B has mass of 5 kg. Before the collision cart A moves towards stationary cart B with the speed of 5 m/s.
a) What is the momentum of the system of two carts before the collision?

b) What is the kinetic energy of the system of two carts before the collision?

c) What is the momentum of the system of two carts after the collision?

d) If after the collision cart A stops, what is the speed of cart B after the collision?

What is the kinetic energy of the system of two carts after the collision?

Is this a perfectly elastic collision? (enter "yes" or "no") (b/c KE is not conserved)

Is this a perfectly inelastic collision? (enter "yes" or "no") (b/c carts do not sick together after the collision)


e) If instead the two carts lock bumpers and stick together after the collision, what is their speed after the collision?

What is the kinetic energy of the system of two carts after the collision?

Solutions

Expert Solution

Mass of cart A,mA =3kg

initial velocity of cart A, uA =5m/s

Mass of cart B,mB =5kg

initial velocity of cart B, uB =0 m/s

--------------------------------

(a) Momentum of the system of two carts before the collision

ANSWER:

==========================

(b) Kinetic energy of the system of two carts before the collision

ANSWER:

==========================

(c)Momentum of the system of two carts after the collision

During Collision Momentum is Conserved

ANSWER:

=========================

(d)If after the collision cart A stops, what is the speed of cart B after the collision?

Momentum is Conserved

ANSWER:

===================

KE after collision

ANSWER:

============

This is not a perfectly elastic collision ,because KE is not conserved

This is not a perfectly inelastic collision,because carts do not sick together after the collision

========================

(e) two carts lock bumpers and stick together after the collision, what is their speed after the collision

Momentum is Conserved

ANSWER:

===================

kinetic energy of the system of two carts after the collision?

ANSWER:

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