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Q. 35

Expert-verified
Found in: Page 354

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# FIGURE P13.35 shows three masses. What are the magnitude and the direction of the net gravitational force on (a) the 20.0 kg mass and (b) the 5.0 kg mass? Give the direction as an angle cw or ccw from the y-axis.

(a) Magnitude and direction of the net gravitational force on 20kg mass is and respectively.

(b) Magnitude and direction of the net gravitational force on 5kg mass is and respectively.

See the step by step solution

## Step 1. (a)Given information

The given diagram is

## Step 2. Formula used

Gravitational force,

## Step 3. (a)Calculation for 20 kg mass.

Gravitational force on 20 kg mass due to 5kg mass is

This force is in vertical direction.

Gravitational force on 20 kg mass due to 5kg mass is

This force is in horizontal direction.

Net force is

Direction of net force from horizontal x-axis is

Now direction of net force from vertical y-axis is

The diagram is

## Step 5. Formula used

Gravitational Force is

## Step 6. Calculation for 5kg mass.

Gravitational force on 20 kg mass due to 5kg mass is

This force is in vertical direction.

Perpendicular distance between 5 kg mass and 10 kg mass is

Gravitational force on 20 kg mass due to 5kg mass is

The direction of force from horizontal direction.

The horizontal component of is

The vertical component of is

Now, total force in vertical direction is

Net force is

Direction of net force from horizontal x-axis is

Now direction of net force from vertical y-axis is