An apple crate with a weight of 225 N accelerates along a frictionless surface as the crate is pulled with a force of 14.5 N as shown in the drawing.

What is the horizontal acceleration of the crate?

0.597m/s^2

Oh, I see we have a crate pulling shenanigans going on here. Well, let me use my hilarious physics skills to help you out.

To find the horizontal acceleration of the crate, we need to use Newton's second law: Force = mass × acceleration.

But wait a second, we don't know the mass of the crate! How can we solve this conundrum? Fear not, my friend. We have another equation that will save the day: Weight = mass × gravitational acceleration.

Given that the weight of the crate is 225 N, we can rewrite this equation as: 225 N = mass × 9.8 m/s^2 (since acceleration due to gravity is approximately 9.8 m/s^2).

Solving for mass gives us: mass = 225 N / 9.8 m/s^2.

Now that we have the mass, we can go back to Newton's second law: Force = mass × acceleration. Plugging in the force of 14.5 N, we get:

14.5 N = (225 N / 9.8 m/s^2) × acceleration.

Now it's just a matter of solving for acceleration:

acceleration = (14.5 N × 9.8 m/s^2) / 225 N.

Calculating that, we get the hilarious (drumroll, please) acceleration of the crate to be approximately 0.63 m/s^2.

So, there you have it! The horizontal acceleration of the crate is about 0.63 m/s^2. Now, go forth and spread laughter (and physics knowledge) to the masses!

To find the horizontal acceleration of the crate, we need to apply Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. The formula is given by:

net force = mass * acceleration

In this case, the net force is the force pulling the crate, which is given as 14.5 N. The mass of the crate is not given, but we can find it using the weight and acceleration due to gravity.

Weight = mass * acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s^2.

225 N = mass * 9.8 m/s^2

Rearranging the equation to solve for mass:

mass = 225 N / 9.8 m/s^2 ≈ 22.96 kg

Now, we can substitute the values into the equation:

14.5 N = 22.96 kg * acceleration

Simplifying the equation:

acceleration = 14.5 N / 22.96 kg ≈ 0.631 m/s^2

Therefore, the horizontal acceleration of the crate is approximately 0.631 m/s^2.

To find the horizontal acceleration of the crate, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. The formula for this law is:

Force = mass * acceleration

In this case, the force applied to the crate is 14.5 N. However, we don't know the mass of the crate. But we can use the weight of the crate to find its mass, as weight is equal to the force of gravity acting on an object, which can be calculated by multiplying the mass of the object by the acceleration due to gravity (9.8 m/s^2).

Weight = mass * acceleration due to gravity

Given that the weight of the crate is 225 N, we can rearrange the formula to solve for the mass:

mass = weight / acceleration due to gravity

mass = 225 N / 9.8 m/s^2 = 22.959 kg (approximately)

Now that we know the mass of the crate, we can use Newton's second law to find the acceleration. Rearranging the formula gives:

acceleration = force / mass

acceleration = 14.5 N / 22.959 kg ≈ 0.631 m/s^2

Therefore, the horizontal acceleration of the crate is approximately 0.631 m/s^2.

M*g = 225, M = 225/g = 225/9.8 = 23 kg.

F = M*a, a = F/M = 14.5/23 = 0.630 m/s^2.