Two carts sit on a horizontal, frictionless track; the spring between them is compressed. The small...

70.2K

Verified Solution

Question

Physics

Two carts sit on a horizontal, frictionless track; the springbetween them is compressed. The small cart has mass m, and the massof the larger cart is M = 5.29m. NOTE: Every velocity needsmagnitude and direction (given by the sign).
a) Suppose the carts are initially at rest, and after the\"explosion\" the smaller cart is moving at velocity v = +4.88 m/s. -Find the velocity of the larger cart. V =
Assume now that the mass of the smaller cart is m = 8.91 kg.Assuming there is no loss of energy: find the energy stored in thespring before the explosion. Wk =
If the spring has spring constant k = 935 N/m: find x, thedistance the spring was compressed before the \"explosion\".
b) Suppose the carts are initially moving together, with thespring compressed between them, at constant velocity vo = +9.39m/s. After the \"explosion\", the smaller cart is moving at velocityv = +4.88 m/s. Find the velocity of the larger cart.
c) Suppose now that the small cart (mass m) is initially movingat velocity vo = +3.3 m/s. At what velocity would the large cart(mass 5.29m) have to be moving so, when they collide and sticktogether, they remain at rest?
If you can show the work/ provide explanation I would greatlyappreciate it :) Thanks

Answer & Explanation Solved by verified expert

3.7 Ratings (412 Votes)

mass of small cart m mass of larger cart 529 m a Suppose the carts are initially at rest and after the explosion the smaller cart is moving at velocity 488 ms Momentum is always conserved Initial momentum 0 since both carts are at rest Final See Answer

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