Question

If a 3.0kg ball is pushed up a frictionless incline of 20.° with an applied force of 40. N, what is the acceleration of the ball?

Answer 1

The acceleration of the ball is 3.53 m/s^2.

Step-by-step explanation:

To find the acceleration of the ball, we can use the formula:

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

Since the incline is frictionless, there is no frictional force. The force of gravity can be calculated using the formula:

force of gravity = mass * gravitational acceleration

Substituting the given values, we have:

force of gravity = 3.0 kg * 9.8 m/s^2 = 29.4 N

Now we can substitute the values into the acceleration formula:

acceleration = (40 N - 29.4 N) / 3.0 kg

acceleration = 10.6 N / 3.0 kg = 3.53 m/s^2

Therefore, the acceleration of the ball is 3.53 m/s^2.