HOMEWORK – Calculating Force – Classes 801, 802, 803 & 819

Direction: Complete all work in your notebook. Be prepared to present your work in class. Show all your work.

CALCULATING FORCE WORKSHEET 1

(Newton’s 2nd Law)

Calculate the force in the following problems by using the equation:

Force = mass x acceleration                F = m a

Be sure to    (1) ALWAYS write the equation

(2)plug in the numbers and units,

(3) give the answer with the correct units.

  1. A man hits a golf ball (0.2 kg) which accelerates at a rate of 20 m/s2. What amount

of force acted on the ball?

  1. You give a shopping cart a shove down the isle. The cart is full of groceries and

has a mass of 18 kg. The cart accelerates at a rate of 3 m/s2. How much force did

you exert on the cart?

  1. The wind pushes a paper cup along the sand at a beach. The cup has a mass of 0.025 kg and accelerates at a rate of 5 m/s2. How much force is the wind exerting on the cup?
  1. You push a friend sitting on a swing. She has a mass of 50 kg and accelerates at a

rate of 4 m/s2. Find the force you exerted.

  1. How much force would it take to push another, larger friend who has a mass of 70

kg to accelerate at the same rate of 4 m/s2?

  1. A worker drops his hammer off the roof of a house. The hammer has a mass of 9

kg, and gravity accelerates it at the usual 9.8 m/s2. How much force does the earth

apply to the hammer?

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CALCULATING FORCE WORKSHEET 2

Formulas to use:

F = M x A        M = F/A       A = F/M

W = M x G      M = W/G     G = W/M

ANSWER ALL QUESTIONS & SHOW ALL WORK

  1. How much force is needed to accelerate a 66 kg skier at 2 m/sec2?
  1. What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2?
  1. What is the acceleration of a 50 kg object pushed with a force of 500 newtons?
  1. 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?
  1. A 50 kg skater pushed by a friend accelerates 5 m/sec2. How much force did the friend apply?
  1. 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?
  1. 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?
  1. If a 60 kg person on a 15 kg sled is pushed with a force of 300 N, what will be person’s

acceleration?

  1. A force of 20 N acts upon a 5 kg block.  Calculate the acceleration of the object.
  1. 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.
  1. 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.
  1. 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.
  1. 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.

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CALCULATING FORCE WORKSHEET 3

Fill in the data table below and show all work needed to find missing variable.

1.Use correct formula

2.Substitute numbers

3.Solve problem

4.Correct label

Formulas to use:

F = M x A          M = F/A          A = F/M

W = M x G        M = W/G        G = W/M

Force Mass Acceleration Show all work here
150 N 6 kg
12 kg 18 m/sec
744 N 24 m/sec
480 N 15 kg
73 kg 95 m/sec

 

Weight Mass Acceleration Show all work here
245N 9.8 m/sec
.5 kg 9.8 m/sec
151.9 N 9.8 m/sec
12 kg 9.8 m/sec
539 N 55 kg

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CALCULATING FORCE WORKSHEET 4

ANSWER ALL QUESTIONS & SHOW ALL WORK

1.Use correct formula

2.Substitute numbers

3.Solve problem

4.Correct label

Formulas to use:

F = M x A              M = F/A                   A = F/M

W = M x G            M = W/G                G = W/M

  1. A force of 64 N is applied to an 8 kg. Mass. What is the acceleration of the mass?
  1. A 7 kg. Mass is moved across table at 25 m/sec. What force caused the acceleration?
  1. What force is needed to accelerate a 40 kg. Mass across a surface at 7.5 m/sec?
  1. A force of 125 N is applied to a 50 kg. Mass. What is the acceleration of the mass?
  2.  A 147 N iron ball weighs 15 kg. What is the acceleration of the ball due to gravity?