Links to answers and explanations are at the are at the end of the problem set.
1. What is the acceleration of an object of mass 3 kilograms, acted on by a force of 24 newtons?
2. An object has mass 1000 kg. A force of 2.5 N acts on it. What is its acceleration? If it starts from rest, how far does it go in 10 seconds?
3. What force is needed to accelerate a mass of 1000 kg at a rate of 0.01 m/s2?
4. A force of 6 N gives a car an acceleraiton of 20 m/s2. What acceleration would the car be given by a force of 18 N? What about a force of 9 N?
5. A girl is trying to roll a heavy wagon along a street. She gives it an acceleration of 6 m/s2. What would be the acceleration if three (equally strong) girls pulled the wagon?
6. Two people push on a car which has a mass of 1200 kg and give it an acceleration of 2 m/s2. If the same people exert the same force on a 4800 kg truck, what will be its acceleration?
7. A golf ball is dropped (from rest) out of a window. How far does it fall in the first 3 seconds? In the first 6 seconds?
8. If I fall off of a curb and hit the ground in one-fifth of a second, what is my speed when I hit the ground? (The initial velocity is zero.)
9. An object falls from rest for 15 seconds. How fast is it going? How far has it fallen?
10. A stretched spring causes an acceleration of 3.2 m/s2 in an object of mass 1.5 kg. What acceleration will the spring cause in an object of mass 6 kg?
11. An object with mass 2 kg is acted on by a force of 10 N. The object starts from rest. Find the acceleration. How fast is the object moving after 3 seconds? How far does it travel in 3 seconds?
12. A child has a wagon that has a mass of 15 kg. Using all her strength she can give it an acceleration of 2.5 m/s2. Now she puts a set of blocks, with mass 6 kg, into the wagon. What acceleration can she give the wagon?
13. A heavy man might have a mass of 100 kg. What is his weight in newtons? (It is equivalent to about 220 pounds.)