A27.5-g object moving to the right at 19.0 cm/s overtakes and collides elastically with a 11.5-g object moving in the same direction at 15.0 cm/s. find the velocity of each object after the collision. (take the positive direction to be to the right. indicate the direction with the sign of your answer.)

27.5-g object cm/s?

11.5-g object cm/s?

After collision, velocity of massive object 27.5 g has reduced from 19 cm/s to 16.64 cm/s while that of lighter object 11.5 has increased from 15 cm/s to 20.64 cm/s because of elastic collision.

Explanation:

As, this question has two parts: a) We have to find the velocity after the collision with the mass of the object 27.5 g.

b) We have to find the velocity with 11.5 g mass of the object.

Now,

In this case the massive body collides with the lighter body. As we know;

Mass of massive object = m1 = 27.5 g

Velocity of m1 before collision = v1 = 19 cm/s

mass of lighter object = m2 = 11.5 g

velocity of m2 before collision = v2 = 15 cm/s

We have to find the velocity of m1 and m2 after the collision

a)

Velocity of 27.5 g object after collision = v1' = ?

v1' = (m1-m2)/(m1+m2)×v1 + 2×m2/(m1+m2)×v2

v1' = (27.5-11.5)/27.5+11.5)×(19) + 2×(11.5)/(27.5+11.5)×(15)

v1' = 7.795 + 8.846

v1' = 16.64 cm/s.

b)

Velocity of 11.5 g object after collision = v2' = ?

v2' = 2×m1/(m1+m2)×v1 + (m2-m1)/(m1+m2)×v2

v2' = 2×(27.5)/(27.5+11.5)×(19) + (11.5-27.5)/(27.5+11.5)×(15)

v2' = 26.795 + (-6.154)

v2' = 20.641 cm/s.

think about the oscillation of the toy shown in the video. when the toy is at the highest point of its motion, its velocity is zero and its acceleration is negative.

small = small current large mag large current