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### 402-B: Newton's Second Law: Using Newton's Second Law Numerically

• Topic Cluster: Dynamics
• Topic: Quantitative Dynamics (Newton's Second Law)
• Objective: Use Newton's Second Law to solve numeric problems.
• Content: Newton's Second Law relates the mass of an object, the acceleration of that object, and the net force acting on that object.
• Level: 1

#### BACK to Ladder Quantitative Dynamics (Newton's Second Law)

The ultimate goal of dynamics is to explain why objects move by understanding the forces acting on those objects. One crucial formula allows us to accomplish this. This formula relates the forces acting on an object to the acceleration of that object: Newton's Second Law.

$$\Sigma F = m a$$

1. I kick and exert a net force of 200 N on a rock. The rock has a mass of 2 kg. What is the acceleration of the rock?
2. Something is accelerating at a rate of 4 m/s2. It has a mass of 10 kg. What is the net force on this object?
3. The cabinet has a mass of 200 kg and I push it with a force of 20 N. That is the only horizontal force on the cabinet. What is its acceleration? Include a unit!
4. An 80 kg person on a 20 kg bicycle is accelerating at 2 m/s2. What is the net force on them?
5. When I exert a 100 N net force on my bookshelf, it accelerates at a rate of 4 m/2. What is the mass of the bookshelf?
6. A rocket has a mass of 1800 kg. If the rocket thruster gives it a net force of 36000 N, how fast will it accelerate?
7. What is the mass of an object with an acceleration of 5 m/s2 under a net force of 400 N? Include a unit!