Velocity of cart 1 before collision 0.4416 m/s. Velocity of cart 2 before collis

ID: 1313799 • Letter: V

Question

Velocity of cart 1 before collision 0.4416 m/s.

Velocity of cart 2 before collision 0.00 m/s.

Velocity of cart 1 after collision 0.1789 m/s.

Velocity of car 2 after collision 0.1780 m/s

1. Find the momentum of cart 1 and 2 before collision.

2. Find momentum of cart 1 and 2 after collision.

3 and 4. What is the total momentum before collision? After collision?

5 and 6. KE of cart 1 and 2 before collision

7 and 8. KE of cart 1 and 2 after collision

9. What is total KE before collision? After?

PLEASE SHOW ALL WORK. Thank you

mass of cart - 1 = m1

velocity of cart -1 = v1

mass of cart -2 = m2

velocity of cart -2 = 0

After collision both the carts stick together

a.)

let the final velocity of the combined system is Vf

by using the momentum equation,

m1 v1 + m2 V2 = (m1+m2) Vf

Vf = (m1 v1 + m2 v2) / (m1+m2)

= (m1v1) / (m1+m2) (since v2=0 -------> m2v2=0)

b.)K.E initial = K.E of cart-1 + K.E of cart-2

= 1/2 m1 v1^2 + 1/2 m2 v2^2

= 1/2 m1 v1^2 + 0 (v2=0)

= 1/2 m1 v1^2

K.Efinal = K.E of combined system

= 1/2(m1 + m2)vf^2

= 1/2 (m1 + m2) (m1v1/(m1+m2))^2

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