   Chapter 5, Problem 69AP

Chapter
Section
Textbook Problem

Two objects (m1 = 5.00 kg and m2 = 3.00 kg) are connected by a light string passing over a light, frictionless pulley as in Figure P5.69. The 5.00-kg object is released from rest at a point h = 4.00 m above the table. (a) Determine the speed of each object when the two pass each oilier. (b) Determine the speed of each object at the moment the 5.00-kg object hits the table. (c) How much higher does the 3.00-kg object travel after the 5.00-kg object    hits the table? Figure P5.69

(a)

To determine
The speed of the each object when they two pass each other.

Explanation

Given Info:

The mass m1 is 5.0g .

The mass m2 is 3.0g .

The height at which the mass m1 is at rest with respect to the table is 4.0m .

When the mass m1 start moving down to the table the mass m2 will start move up from the table. Bothe of them will pass each other in a height of 2.0m above from the table.

According to Work-Energy theorem,

(KEf+PEg,f+PEs,f)=(KEi+PEg,i+PEs,i)

Thus,

(12(m1+m2)vf2+(m1+m2)gyf+0)(0+m1gy1,i+0)

On re-arranging,

vf=2m1gy1,im1

(b)

To determine
The speed of the each object when the mass m1 hits the table.

(c)

To determine
The distance that the mass m2 will go up after the mass m1 hits the table.

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