A horizontal force 10 N is necessary to just hold a block stationary against a wall . The coefficient of friction between the block and the wall is 0.2 . The weight of the block will be ?
To find the weight of the block, we can use the formula for calculating friction:
Friction = coefficient of friction * Normal force
In this case, the block is being held stationary against the wall, so the friction force is equal to the applied horizontal force of 10 N.
Therefore, Friction = 10 N.
The coefficient of friction is given as 0.2, so we can replace it in the formula:
10 N = 0.2 * Normal force
Solving for the Normal force:
Normal force = 10 N / 0.2
Normal force = 50 N
Therefore, the weight of the block is 50 N.
To find the weight of the block, we can use the equation for static equilibrium which states that the sum of the forces acting on an object at rest is equal to zero.
In this case, we have a horizontal force exerted on the block to hold it stationary against the wall, which is 10 N. We also know that there is a coefficient of friction between the block and the wall, which is given as 0.2.
The force of friction can be calculated using the equation: force of friction = coefficient of friction x normal force.
The normal force is the force exerted by a surface to support the weight of an object resting on it. Since the block is resting on a horizontal surface and not accelerating vertically, the normal force is equal in magnitude and opposite in direction to the weight of the block.
Therefore, the force of friction can be expressed as: force of friction = 0.2 x weight of the block.
Since the block is stationary, the force of friction must be equal to the force applied to hold it against the wall, which is 10N.
Substituting these values into the equation, we get: 0.2 x weight of the block = 10N.
To solve for the weight of the block, we divide both sides of the equation by 0.2: weight of the block = 10N / 0.2.
Calculating this, we find that the weight of the block is 50N.