A 15.0kg block is attached to a very light horizontal spring of force constant 5

Question

A 15.0kg block is attached to a very light horizontal spring of force constant 575N/m and is resting on a smooth horizontal table. (See the figure below (Figure 1) .) Suddenly it is struck by a 3.00kg stone traveling horizontally at 8.00m/s to the right, whereupon the stone rebounds at 2.00m/s horizontally to the left.

http://session.masteringphysics.com/problemAsset/1266932/3/yg.8.38.jpg

Find the maximum distance that the block will compress the spring after the collision.(Hint: Break this problem into two parts - the collision and the behavior after the collision - and apply the appropriate conservation law to each part.)

Enter your answer using three significant figures.

Explanation / Answer

apply momentum conservation ......

m1v1= m1v11 + m2v2

so V2 = 2 m/sec

apply energy conservation on system

0.5 m1* V1^2 = 0.5 m2* V2^2 + 0.5*k * x^2

so x = 0.478 m

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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