Question

A block weighing 20N is on a ramp inclined at 30 degrees to the horizontal. The block is pulled up the ramp at constant velocity with a force of 25N, which is parallel to the ramp. What is the magnitude of the force of friction, Ff?

Answer 1

To find the magnitude of the force of friction, you need to calculate the force of gravity acting on the block and use the equation Ff = µ * Fn, where µ is the coefficient of friction and Fn is the normal force.

Step-by-step explanation:

To find the magnitude of the force of friction, we need to first calculate the force of gravity acting on the block. The force of gravity can be calculated using the formula: Fg = m * g, where m is the mass of the block and g is the acceleration due to gravity (approximately 9.8 m/s²). Given that the weight of the block is 20N, we can calculate the mass as follows:

Fg = m * g
20N = m * 9.8 m/s²
m = 20N / 9.8 m/s² = 2.04 kg

Next, to find the force of friction, we can use the equation: Ff = µ * Fn, where µ is the coefficient of friction and Fn is the normal force. The normal force is equal to the weight of the block, which is equal to 20N. Therefore, the force of friction can be calculated as follows:

Ff = µ * Fn = µ * 20N

However, the value of the coefficient of friction (µ) is not given, so we cannot calculate the exact magnitude of the force of friction without that information.