Newtons’ Second Law Practice Problems
Part 1: Finding Force
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 in Newton?
2) A book with a mass of 3.0 kg accelerates at the rate of 4.0 m/s2 on a
frictionless table when a force is applied to it. What is the strength of that
force?
3) A bullet with a mass of 0.01 kg accelerates at the rate of 44,000 m/s^2
while it is still travelling out the barrel. Determine the force applied on the
bullet from the burning powder.
4) You have a mass of 44.0 kg, and the gravitational acceleration of Earth is
9.8 m/s^2. Determine the gravitational force acting on you.
5) You have a mass of 55kg, the Moon’s gravitational acceleration is about
1.62 m/s^2. Determine the gravitational force of the moon acting on you if
you were to stand on the surface of the moon.
6) A 3000 kg passenger jet has an acceleration of 12 m/s^2 while taking off.
What is net thrust force produced by that passenger jet?
7) A bullet struck a block of wood and caused the wood, together with the
bullet embedded inside, to accelerate at the rate of 15 m/s^2. Assume the
total mass of the wood plus the bullet is 30 kg. What was the force of the
bullet impact?
8) A 1400 kg car is accelerating at the rate of 7.5 m/s^2. What force is needed
to bring that car to a stop?
9) A model rocket has a mass of 0.2 kg and it accelerate at the rate of 400
m/s^2. What is the net thrust force produced by the model rocket?
10)
Assume the surface has no friction. You are dragging a 3.0 kg book
using a string and it accelerates at the rate of 2.0 m/s^2. What is the
tension on the string?
11)
A small table fan can blow a piece of paper with a mass of 0.001 kg
and accelerates the paper at the rate of 2 m/s^2. Determine the amount of
force the fan applied on the paper.
Part 2: Finding Acceleration
1) A small model rocket with a mass of 0.2 kg can produce thrust with a force
of 6N. Determine the acceleration of that model rocket during takeoff.
2) A loaded F18 military jet has a mass of 30,000 kg. Determine the plane
acceleration after its jet engine produce a thrust force of 160,000 N.
3) A sport car has a mass of 2000 kg, and its four wheels exert on the driveway
a total force of 14,000 N. Determine the sport car acceleration.
4) A magnet attracts a piece of iron with a mass of 4 kg. Assume the magnetic
force at that position is 32 N. Determine the acceleration of the piece of
metal toward the magnet.
5) You push a 250 kg shopping cart with a net force of 750 N. What is the cart
acceleration after you pushed it?
6) You are the first person to land on Mars. You have a mass of 50kg and your
weight on Mars is 186 N, which is way less than on Earth. Determine the
gravitational acceleration of Mars.