On a frictionless, horizontal air table, puck A (with mass 0.250 kg ) is moving toward...

Free

60.1K

Verified Solution

Question

Physics

On a frictionless, horizontal air table, puck A (with mass 0.250kg ) is moving toward puck B (with mass 0.400 kg ), which isinitially at rest. After the collision, puck A has a velocity of0.150 m/s to the left, and puck B has a velocity of 0.620 m/s tothe right.
a.What was the speed of puck A before thecollision?
b. Calculate the change in the total kinetic energy of thesystem that occurs during the collision.

Answer & Explanation Solved by verified expert

3.5 Ratings (393 Votes)

Â Â mass of A 0.25kg , m1, u1 = ?
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â m2 = 0.4 kg, u2 = 0 m/s
Â Â Â Â Â Â Â after collision
Â Â Â Â Â Â Â Â v1 = 0.150 m/s, v2 = 0.620 m/s

Â Â

Â Â coservation of momentum

a)
m1u1 +m2u2 = m1v1 +m2v2
u1 = (- m1v1 +m2v2 )/ m1 = ( - 0.25 *0.15 +0.4*0.62) / 0.25
Â Â Â Â Â Â Â Â Â Â Â = 0.842 m/s

b) change in kinetic energy
Â Â

Â Â Â Â Â 1/2 m1u1^2 + 1/2 m2u2^2 = 1/2 m1 v1^2 + 1/2 m2v2^2
Â Â Â Â Â
Â Â Â Â Â 1/2 m1u1^2 + 0 = -1/2 m1 v1^2 + 1/2 m2v2^2
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1/2 *0.25*0.842^2 = -1/2*0.25*0.15^2 + 1/2 0.4* 0.62^2
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.0145525 J

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member