Final answer:
To calculate the acceleration of the crate, you can subtract the force of kinetic friction from the applied force and use Newton's second law and we get 1.22 m/s2 .
Step-by-step explanation:
To calculate the acceleration of the crate, we'll need to determine the net force acting on it. The net force is the difference between the applied force and the force of kinetic friction. The force of kinetic friction is given by the coefficient of kinetic friction multiplied by the normal force.
First, calculate the normal force by multiplying the mass of the crate by the acceleration due to gravity:
Normal force: 220 kg * 9.8 m/s2 = 2156 N
Then, calculate the force of kinetic friction:
Force of kinetic friction: 0.20 * 2156 N = 431.2 N
Finally, calculate the net force by subtracting the force of kinetic friction from the applied force:
Net force: 700 N - 431.2 N = 268.8 N
Using Newton's second law, F = ma, we can plug in the values to find the acceleration:
268.8 N = 220 kg * a
a = 1.22 m/s2