Calculate the Weight of a Block on a Horizontal Floor

What is the weight of a block resting on a horizontal floor if a horizontal force of 707 N will just get the object to slide?

Calculate the weight of the block using the given information about the force required to make the block slide and the coefficient of static friction.

Answer:

The weight of the block can be calculated using the equation W = mg, where W is the weight, m is the mass of the block, and g is the acceleration due to gravity.

When a block is resting on a horizontal floor and a horizontal force is applied to just make it slide, we can determine the weight of the block by considering the force required and the coefficient of static friction. First, we need to understand the relationship between the force of friction, the normal force, and the weight of the block.

The maximum static friction force is equal to µN, where µ is the coefficient of static friction and N is the normal force. Since the block is resting on a horizontal floor, the normal force N is equal to the weight of the block. Therefore, N = mg, where m is the mass of the block.

The given horizontal force of 707 N is just enough to overcome the maximum static friction force and make the block slide. By equating these two forces, we can solve for the weight of the block using the equation µmg = 707 N.

Rearranging the equation to solve for the mass of the block, we get m = 707 N / (µg). Substituting this mass back into the equation W = mg, we can calculate the weight of the block on the horizontal floor.

Therefore, the weight of the block can be determined using the equation W = mg, where m = 707 N / (µg).