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A force of 9.4 N pulls horizontally on a 1.1-kg block that

Chapter 6, Problem 75GP

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QUESTION:

Problem 75GP

A force of 9.4 N pulls horizontally on a 1.1-kg block that slides on a rough, horizontal surface. This block is connected by a horizontal string to a second block of mass m2 = 1.92 kg on the same surface. The coefficient of kinetic friction is µk = 0.24 for both blocks. (a) What is the acceleration of the blocks? (b) What is the tension in the string?

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QUESTION:

Problem 75GP

A force of 9.4 N pulls horizontally on a 1.1-kg block that slides on a rough, horizontal surface. This block is connected by a horizontal string to a second block of mass m2 = 1.92 kg on the same surface. The coefficient of kinetic friction is µk = 0.24 for both blocks. (a) What is the acceleration of the blocks? (b) What is the tension in the string?

ANSWER:

Step 1 of 3

a.)

We have to find the acceleration of the blocks which are connected by a string, when a  force of 9.4 N pulls horizontally a 1.1-kg block that slides on a rough, horizontal surface and connected to a second block of mass 1.92 kg.

The acceleration of the blocks can be found by applying the  Newton's second law to both the blocks and solving the equations for .

Applying Newton’s second law to the first and second block,

Where,

Tension in the string in N

 and  = masses of first and

second block, kg, kg

N

 coefficient of kinetic friction = 0.24

m/s2

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