A 6.0 kg cart (m 1 ) was observed moving north with a speed of 15.9 m/s before i

Question

A 6.0 kg cart (m1) was observed moving north with a speed of 15.9 m/s before it collided with an identical cart m2 at rest. Assume the collision to be elastic.

a) What is in Joules the kinetic energy of the system of both carts before the collision?

b) What is in Joules the kinetic energy of the system of both carts after the collision?

c) What is in kg m/s the combined momentum of both masses after the collision?

d) What is the speed in m/s of m1 after the collision?

e) What is the speed in m/s of m2 after the collision?

Explanation / Answer

Momentum conservation

6*15.9 = 6 V2 - 6V1

V2 - V1=15.9

Elastic collision

V2 + V1 = 15.9

V2 = 15.9 m/sec (ans)

V1 = 0

a) Initial KE = 1/2*6*15.9^2 = 758.43 J (ans)

b) Final KE = initial KE = 758.43 J (ans)

c) Final momentum = 6*15.9 = 95.4 Kgm/sec (ans)

d) V1 = 0 m/sec (ans)

e) V2 = 15.9 m/sec (ans)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.