A 225-kg crate is pushed horizontally with a force of 690 N. If the coefficient of friction is 0.20, calculate the acceleration of the crate.

How did you get from 225 to 1.11?

Well, let me start by saying that we're dealing with a crate here, not a clown car. But don't worry, I won't clown around with the answer!

To calculate the acceleration of the crate, we need to consider both the applied force and the force of friction. The formula to calculate acceleration is:

acceleration = (applied force - force of friction) / mass

So, let's calculate the force of friction first. The force of friction can be found by multiplying the coefficient of friction (μ) by the normal force. In this case, the normal force is equal to the weight of the crate, which can be found by multiplying the mass (m) by the acceleration due to gravity (g).

force of friction = coefficient of friction * normal force
= μ * (m * g)

Now, let's calculate the normal force:

normal force = mass * gravity
= 225 kg * 9.8 m/s^2

Next, let's plug in the numbers and calculate the force of friction:

force of friction = 0.20 * (225 kg * 9.8 m/s^2)

Finally, we can plug in the values for the applied force, force of friction, and mass to calculate the acceleration:

acceleration = (applied force - force of friction) / mass

And voila! You'll have your answer. Just make sure not to clown around with the calculations!

To calculate the acceleration of the crate, we need to use Newton's second law of motion which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.

The force applied to the crate is the horizontal force minus the force of friction. The horizontal force is given as 690 N, and the force of friction can be calculated using the coefficient of friction. The force of friction (F_f) is equal to the coefficient of friction (μ) multiplied by the normal force (F_n). The normal force is equal to the weight of the crate (mass times gravity).

First, calculate the force of friction:
F_f = μ * F_n
F_n = m * g
where m is the mass of the crate and g is the acceleration due to gravity (approximately 9.8 m/s^2).

F_n = 225 kg * 9.8 m/s^2
F_n = 2205 N

F_f = 0.20 * 2205 N
F_f = 441 N

Now we can calculate the acceleration:
Force applied = Force - Force of friction
690 N = m * a - 441 N
690 N + 441 N = m * a
1131 N = 225 kg * a

Solving for the acceleration:
a = 1131 N / 225 kg
a = 5.04 m/s^2

Therefore, the acceleration of the crate is 5.04 m/s^2.

friction force = 225*9.81*.2 = 441 N

690 - 441 = m a = 225 a
a = 1.11 m/s^2