The equation can be stated in three forms:
In the first set of problems below, you will be given the mass of an object and the acceleration of that object, and then will need to solve for force, using the equation F = ma.
In other words, you will need to multiply the mass times the acceleration to calculate the force.
Be sure to convert any mass stated in grams into kilograms, by dividing it by 1000 (moving the decimal place over three places to the left). For example, 1000 grams is equal to 1 kilogram.
Be sure to state the proper units in your answer.
1. An object with a mass of 2.0 kg accelerates 2.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
2. An object with a mass of 5.0 kg accelerates 8.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
3. An object with a mass of 1500 g (grams) accelerates 10.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________ force force f = m•a m = f/a a = f/m
4. An object with a mass of 6.0 kg accelerates 4.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
5. An object with a mass of 7.5 kg accelerates 8.3 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
In this next set of problems below, you will be given the force applied to an object and the acceleration of that object, and then will need to solve for mass, using the equation m = F/a. In other words, you will need to divide the force by the acceleration to calculate the mass. Show your work in the space provided. Be sure to state the proper units in your answer.
6. An object accelerates 3.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
7. An object accelerates 12.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
8. An object accelerates 5.0 m/s2 when a force of 20.0 newtons is applied to it. What is the mass of the object? ___________________________
9. An object accelerates 2.0 m/s2 when a force of 12.0 newtons is applied to it. What is the mass of the object? ___________________________