a 50 kg wagon is at rest on a rough surface.The coefficient of sliding friction is 0.85.How much force is needed to start moving the wagon.

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42.5

To calculate the force needed to start moving the wagon, we need to consider the friction force acting against the motion. The magnitude of the friction force can be calculated using the formula:

Friction force = coefficient of friction * normal force

In this case, the normal force is the weight of the wagon, which can be calculated using the formula:

Weight = mass * acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s².

Let's calculate the force needed to start moving the wagon step by step:

1. Calculate the weight of the wagon:
Weight = mass * acceleration due to gravity
Weight = 50 kg * 9.8 m/s²
Weight = 490 N

2. Calculate the friction force:
Friction force = coefficient of friction * normal force
Friction force = 0.85 * 490 N
Friction force = 416.5 N

Therefore, the force needed to start moving the wagon is approximately 416.5 N.