Calculate work done if a force of 300N is applied at 30° to the horizontal and the body moves 20m
work=300cos30 * 20 N.m
To calculate the work done in this scenario, we need to use the formula:
Work = Force * Distance * cos(theta)
Here,
Force = 300N (the magnitude of the force applied)
Distance = 20m (the distance the body moves)
theta = 30° (the angle between the applied force and the horizontal)
First, we need to find the horizontal component of the applied force. To do this, we use the formula:
Horizontal component = Force * cos(theta)
Horizontal component = 300N * cos(30°)
Horizontal component = 300N * 0.866 (rounded to 3 decimal places)
Horizontal component ≈ 259.8N (rounded to the nearest tenth)
Now, we can calculate the work done:
Work = Horizontal component * Distance
Work = 259.8N * 20m
Work = 5196 N·m
Therefore, the work done is approximately 5196 N·m.