Answer: Two blocks are connected by a very light string

Chapter 6, Problem 7E

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QUESTION:

Two blocks are connected by a very light string passing over a massless and frictionless pulley (Fig. E6.7). Traveling at constant speed, the \(20.0-\mathrm{N}\) block moves \(75.0 \mathrm{~cm}\) to the right and the \(\text { 12.0-N }\) block moves \(75.0 \mathrm{~cm}\) downward. During this process, how much work is done (a) on the \(\text { 12.0-N }\) block by (i) gravity and (ii) the tension in the string? (b) On the \(20.0-\mathrm{N}\) block by (i) gravity, (ii) the tension in the string, (iii) friction, and (iv) the normal force? (c) Find the total work done on each block.

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QUESTION:

Two blocks are connected by a very light string passing over a massless and frictionless pulley (Fig. E6.7). Traveling at constant speed, the \(20.0-\mathrm{N}\) block moves \(75.0 \mathrm{~cm}\) to the right and the \(\text { 12.0-N }\) block moves \(75.0 \mathrm{~cm}\) downward. During this process, how much work is done (a) on the \(\text { 12.0-N }\) block by (i) gravity and (ii) the tension in the string? (b) On the \(20.0-\mathrm{N}\) block by (i) gravity, (ii) the tension in the string, (iii) friction, and (iv) the normal force? (c) Find the total work done on each block.

ANSWER:

Solution 7E

Step 1:

As the figure shows,

         The 12 N force moves downward and got displaced by 75 cm = 0.75 meters.

Gravitational force is acting downwards with a magnitude of 12 N.

As we know that, work is,

               

The work done by the gravitational force is 9 jules.

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