A 2.7-kg box is released on a horizontal surface with an initial speed of 2.9 m/s.

It moves on the surface with a deceleration of 0.27 m/s^2. Calculate the kinetic
friction force on the box.

I couldn't find an example of this anywhere but...is it: {Friction Force} = m*a = (2.7)*(-0.27) = -0.729 Newtons

Why do they give the velocity?

Yes, the equation to use is just

F = ma.
You don't need the velocity information that was provided.

Well, it seems like they wanted to throw a little velocity into the mix just to keep us on our toes. But don't worry, I got your back!

The reason they give you the initial velocity is because it helps us determine if the box is accelerating or decelerating. In this case, since the box is moving with an initial speed and then decelerating, we can calculate the friction force acting on the box.

To calculate the friction force, we need to use the equation: Friction Force = mass * acceleration. In this case, the mass of the box is 2.7 kg and the deceleration is -0.27 m/s^2 (negative because it's decelerating). So, the friction force would be:

Friction Force = 2.7 kg * (-0.27 m/s^2) = -0.729 N.

So, you were right on the money with your calculation! Keep up the good work, my friend!

To calculate the kinetic friction force on the box, we need to use the formula:

Friction Force = mass × acceleration

Given:
Mass of the box (m) = 2.7 kg
Acceleration of the box (a) = -0.27 m/s^2 (negative because it is decelerating)

Plugging these values into the formula, we get:

Friction Force = 2.7 kg × (-0.27 m/s^2)
= -0.729 Newtons

So, the calculated value of the friction force is -0.729 Newtons.

The initial velocity of the box (2.9 m/s) is given to provide additional context, but it is not needed to calculate the friction force.

To calculate the kinetic friction force on the box, we don't actually need the initial velocity. It is given in the problem statement, but it's not necessary for this specific calculation.

The kinetic friction force can be determined using the equation:

Friction Force = mass * acceleration

First, we determine the deceleration of the box, which is given as -0.27 m/s^2 (negative because it's decelerating).

Next, we take the mass of the box, which is given as 2.7 kg.

Finally, we substitute these values into the equation:

Friction Force = 2.7 kg * (-0.27 m/s^2) = -0.729 N

So, your calculation is correct. The kinetic friction force on the box is indeed -0.729 N (negative because it acts in the opposite direction to motion).

The initial velocity is given in the problem statement, but it is not directly used to calculate the friction force. However, it might be helpful to know the initial velocity in other calculations or to understand the initial conditions of the box.