A 500N force is applied to a 25 kg block and accelerates it at 15 m/s^2. What is the force of friction?
net force=ma
500-frictonforce=25*15
solve for friction force
To determine the force of friction, we first need to understand the relationship between force, mass, and acceleration. The formula for calculating force is:
Force = mass x acceleration
In this case, the force applied is 500 N, the mass of the block is 25 kg, and the acceleration is 15 m/s^2. Plugging these values into the formula, we get:
Force = 25 kg x 15 m/s^2
Force = 375 N
So, the force applied to the block is 375 N.
Now, let's determine the force of friction. The force of friction is opposite in direction to the applied force and is equal in magnitude when the block is moving at a constant velocity. However, in this case, the block is being accelerated, so the force of friction must be subtracted from the applied force.
Applying Newton's second law of motion, we can write:
Force - Force of friction = mass x acceleration
Rearranging the equation to solve for the force of friction, we get:
Force of friction = Force - (mass x acceleration)
Plugging in the known values, we have:
Force of friction = 500 N - (25 kg x 15 m/s^2)
Force of friction = 500 N - 375 N
Force of friction = 125 N
Therefore, the force of friction is 125 N.