Force is directly proportional to

1. Determine the accelerations that result when a 12-N net force is applied to a 3-kg object and then to a 6-kg object.

A 3-kg object experiences an acceleration of 4 m/s/s . A 6-kg object experiences an acceleration of 2 m/s/s .

2. A net force of 15 N is exerted on an encyclopedia to cause it to accelerate at a rate of 5 m/s 2 . Determine the mass of the encyclopedia.

Use Fnet= m * a with Fnet = 15 N and a = 5 m/s/s.

So (15 N) = (m)*(5 m/s/s)

And m = 3.0 kg

3. Suppose that a sled is accelerating at a rate of 2 m/s 2 . If the net force is tripled and the mass is doubled, then what is the new acceleration of the sled?

Answer: 3 m/s/s

The original value of 2 m/s/s must be multiplied by 3 (since a and F are directly proportional) and divided by 2 (since a and m are inversely proportional)

4. Suppose that a sled is accelerating at a rate of 2 m/s 2 . If the net force is tripled and the mass is halved, then what is the new acceleration of the sled?

Answer: 12 m/s/s

The original value of 2 m/s/s must be multiplied by 3 (since a and F are directly proportional) and divided by 1/2 (since a and m are inversely proportional)