An air hockey table works by pumping air through thousands of tiny holes in a table to support light pucks. this allows the pucks to move around on cushions of air with very little resistance. one of these pucks has a mass of 0.25 kg and is pushed along by a 12.0 N force for 9.0 s.

A. What is the puck's acceleration?
B. What is the puck's final velocity?

A. You can find the acceleration by using the equation Fnet=ma. We know that the Fnet is 12, and the mass is 0.25, so the new equation is 12=0.25a. Simply divide by 0.25, and a=48 m/s^2.

B. Simply use the equation v=v0+at. We know everything but the time, so simply plug in and divide to find that the time is 432 seconds.
Happy physics! :D

A. Well, let's see. In order to figure out the puck's acceleration, we can use Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = ma). We have the force applied (12.0 N) and the mass of the puck (0.25 kg), so we can rearrange the equation to solve for acceleration: a = F/m.

Plugging in the values, we get:
a = 12.0 N / 0.25 kg
a ≈ 48 m/s²

So, the puck's acceleration is approximately 48 m/s².

B. To find the final velocity of the puck, we can use the formula v = u + at, where v is the final velocity, u is the initial velocity (which we'll assume is zero), a is the acceleration, and t is the time.

Plugging in the values, we get:
v = 0 + (48 m/s²)(9.0 s)
v ≈ 432 m/s

So, the puck's final velocity is approximately 432 m/s. Although I must say, if an air hockey puck is traveling that fast, it might be time to check if you accidentally launched it into space!

To find the puck's acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the force applied divided by its mass.

A. Acceleration (a) = Force (F) / Mass (m)

Given:
Force (F) = 12.0 N
Mass (m) = 0.25 kg

Plugging the values into the formula:
Acceleration (a) = 12.0 N / 0.25 kg

Acceleration (a) = 48 m/s^2

Therefore, the puck's acceleration is 48 m/s^2.

To find the puck's final velocity, we can use the equation of motion:

B. Final Velocity (v) = Initial Velocity (u) + (Acceleration (a) * Time (t))

Given:
Initial Velocity (u) = 0 m/s (since the puck starts from rest)
Acceleration (a) = 48 m/s^2
Time (t) = 9.0 s

Plugging the values into the formula:
Final Velocity (v) = 0 m/s + (48 m/s^2 * 9.0 s)

Final Velocity (v) = 432 m/s

Therefore, the puck's final velocity is 432 m/s.

To find the answers to these questions, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass. We can also use the equation for calculating the final velocity of an object, which is given by the formula: final velocity = initial velocity + (acceleration * time).

A. To find the puck's acceleration, we can use the formula: acceleration = net force / mass. We are given the force (12.0 N) and the mass (0.25 kg), so we can plug these values into the formula: acceleration = 12.0 N / 0.25 kg. The unit of acceleration is meters per second squared (m/s^2).

B. To find the puck's final velocity, we need to first calculate the initial velocity using the formula: initial velocity = 0 m/s (assuming the puck started from rest). Then we can use the formula: final velocity = initial velocity + (acceleration * time). We already know the acceleration from part A, and we are given the time (9.0 s), so we can substitute these values into the formula and calculate the final velocity.

Here are the step-by-step calculations:

A. acceleration = 12.0 N / 0.25 kg = 48.0 m/s^2

B. initial velocity = 0 m/s
final velocity = 0 m/s + (48.0 m/s^2 * 9.0 s)
final velocity = 0 m/s + 432.0 m/s
final velocity = 432.0 m/s

So the answers are:
A. The puck's acceleration is 48.0 m/s^2.
B. The puck's final velocity is 432.0 m/s.

How do you know the initial velocity?