Physics Help?

Question

A ball of mass 0.612 kg moving east (+x direction) with a speed of 3.90 m/s collides head-on with a 0.306 kg ball at rest. Assume that the collision is perfectly elastic.

 

A.) What is be the speed of the 0.612-kg ball after the collision?

 

B.) What is be the direction of the velocity of the 0.612-

kg ball after the collision?

What is be the direction of the velocity of the 0.612- ball after the collision?

	to the east
	to the west

C.) What is the speed of the 0.306-kg ball after the collision?

 

D.) What is the direction of the velocity of 0.306-

kg ball after the collision?

What is the direction of the velocity of 0.306- ball after the collision?

	to the east
	to the west

 

Answer 1

Mass of the a ball is  kg.

Mass of the a ball moving east with a speed of  m/s.

It collides head-on with a ball of mass  kg, at rest.

Thus,  m/s.

Let the speed of the  kg ball after the collision as .

Let the speed of the  kg ball after the collision as .

(A)

Find the speed of the  kg ball after the collision.

For head on elastic collisions,.

 

Substitute corresponding values in the formula.

 

 m/s.

Speed of the  kg ball after the collision is  m/s.

Answer 2

(B)

Find the direction of the velocity of the  kg ball after collision.

As the  kg is at the rest position, resultant direction is along the direction of  kg ball.

Direction of the velocity of the  kg ball after collision is east.

Option (1) is correct.

Answer 3

(C)

Find the speed of the  kg ball after the collision.

 

For head on elastic collisions, .

 

Substitute corresponding values in the formulae.

 

 

 m/s.

Speed of the  kg ball after the collision is  m/s.

Answer 4

(d)

Find the direction of the velocity of the  kg ball after collision.

As the  kg is at the rest position, resultant direction is along the direction of  kg ball.

Direction of the velocity of the  kg ball after collision is east.

Option (1) is correct.