F=ma FORCE = MASS x ACCELERATION
Remember, mass is in kg - - force in in N (newtons) - - acceleration is in m/s2
1. How much force is needed to accelerate a 66 kg skier at 2 m/sec2?
2. What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2?
3. What is the acceleration of a 50 kg object pushed with a force of 500 newtons?
4. The mass of a large car is 1000 kg. How much force would be required to accelerate the car at a rate of 3 m/sec2?
5. A 50 kg skater pushed by a friend accelerates 5 m/sec2. How much force did the friend apply?
6. A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec2. What is the mass of the object?
7. A bowling ball rolled with a force of 15 N accelerates at a rate of 3 m/sec2; a second ball rolled with the same force accelerates 4 m/sec2. What are the masses of the two balls?
8. If a 60 kg person on a 15 kg sled is pushed with a force of 300 N, what will be person’s
9. A force of 20 N acts upon a 5 kg block. Calculate the acceleration of the object.
10. An object of mass 300 kg is observed to accelerate at the rate of 4 m/s2. Calculate the force required to produce this acceleration.
11. A 5 kg block is pulled across a table by a horizontal force of 40 N with a frictional force of 8 N opposing the motion. Calculate the acceleration of the object.
12. An object of mass 30 kg is in free fall in a vacuum where there is no air resistance. Determine the acceleration of the object.
13. An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons.
a. Determine the net force acting on the object and
b. calculate the acceleration of the object.
1.f=ma f= 66 x 2 f = 132 N
2.F= ma f= 1000 x 9.8 f=9,800 n
3. F= ma 500 = 50(a) a= 10 m/s2
4. F= ma f= 1000 x 3 f= 3000 N
5. F = ma f= 50 x 5 f= 250 N
6. F = ma 250N=(m)5 m= 50kg
7. F= ma 15N= (m)3 m=5kg 15N = (m)4 m=3.75kg
8. F=ma 300N=(60+15)(a) a=4 m/s2
9. F=ma 20N=5(a) a=4 m/s2
10. F=ma F=300 x 4 f= 1200N
11. F=ma 40N-8N=32N of force in a direction 32N=5(a) a=6.4 m/s2
12. Since it is in free fall and is falling due to the force of gravity.....the acceleration will
always be 9.8 m/s2
13. f=ma f=30 x 9.8 f=294N Net force is 294-50 = 244N
acceleration of the object.
F= ma 244N=30 (a) a=8.13 m/s2