Final answer:
To find the force of friction acting on the block, calculate the acceleration, use Newton's second law to find the net force, and then subtract the net force from the applied force to get the frictional force. The force of friction on the block is 33 N.
Step-by-step explanation:
To find the force of friction acting on the wooden block, we can use Newton's second law of motion, which relates force, mass, and acceleration. The total force applied on the block is the external force minus the frictional force, and it's this net force that causes the block to accelerate.
We are given that the external force F is 36 N, the block's mass m is 6.0 kg, the block's final velocity v is 0.25 m/s, and the time t over which it accelerates is 0.50 s. The acceleration a can be calculated using the formula for acceleration (a = Δv/Δt).
Once we have the acceleration, we can use Newton's second law (Fnet = m × a) to find the net force. Then, knowing the net force and the applied force, we can calculate the force of friction (Ffriction = F - Fnet).
The calculation steps are as follows:
- Calculate the acceleration: a = Δv/Δt = (0.25 m/s) / (0.50 s) = 0.50 m/s2.
- Calculate the net force: Fnet = m × a = (6.0 kg) × (0.50 m/s2) = 3.0 N.
- Calculate the force of friction: Ffriction = F - Fnet = 36 N - 3.0 N = 33 N.
Therefore, the force of friction acting on the block is 33 N.