Question

You push on a 24.5kg bag of sand and give it an acceleration of 2.30 m/s². What is the magnitude of the force the bag returns to you and how much do you accelerate if your mass is 78.2kg?

Answer 1

To find the magnitude of the force the bag returns, use Newton's second law. The force is 56.35 N. To find your acceleration, rearrange the same equation and solve for acceleration, which is 0.72 m/s².

Step-by-step explanation:

To find the magnitude of the force the bag returns, we can use Newton's second law, which states that force is equal to mass times acceleration. The mass of the bag of sand is given as 24.5 kg and the acceleration is 2.30 m/s².

Force = mass * acceleration = 24.5 kg * 2.30 m/s² = 56.35 N.

To find how much you accelerate, we can use the same equation, but with your mass of 78.2 kg and the force you exert as the unknown.

Force = mass * acceleration ⟹ 56.35 N = 78.2 kg * acceleration ⟹ acceleration = 56.35 N / 78.2 kg ⟹ acceleration = 0.72 m/s².