Physics 1 Mechanics, (Work and Energy). Please help. THANK YOU!!!!!!!! Two block

Question

Physics 1 Mechanics, (Work and Energy). Please help. THANK YOU!!!!!!!!

Two blocks are connected by a massless string which hangs over a massless pulley as shown. The blocks are released from rest, and the hanging block falls a distance d(it does not hit the floor). Block M rests on a table of height H above the floor. The system is moving at a speed of v_f when the blocks have fallen through a distance d. Answer the following questions about the system, in terms of m, g, H, h, d, and v_f. 1. The acceleration of the system is: a > g a = g a

Explanation / Answer

1 . mg - T = ma

T = Ma

add , mg = (m +M)a

a = (m / m+M) g

so a < g

2. both are released from rest

so Ki = 0

b. Ug = Mg x 1 + mgh = mgh + Mg

3. total energy = K.e + Ug = mgh + Mg

4. Ug.f = mg(h-d) + Mg x1 = mgh - mgd + Mg

5. using energy conservation,

Total energy intial = total energy energy final

mgh + Mg + 0 = mgh - mgd + Mg + Kf

Kf = mgd

6. total energy = ug.f + kf = mgh - mgd + Mg + mgd = mgh + Mg

7. Ug.i + Ki = Ug.f + Kf

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