### 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 2 ^{nd} 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.

- A man hits a golf ball (0.2 kg) which accelerates at a rate of 20 m/s
^{2}. What amount

of force acted on the ball?

- 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/s^{2}. How much force did

you exert on the cart?

- 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/s
^{2}. How much force is the wind exerting on the cup?

- You push a friend sitting on a swing. She has a mass of 50 kg and accelerates at a

rate of 4 m/s^{2}. Find the force you exerted.

- 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/s^{2}?

- 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/s^{2}. 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**

- How much force is needed to accelerate a 66 kg skier at 2 m/sec
^{2}?

- What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec
^{2}?

- What is the acceleration of a 50 kg object pushed with a force of 500 newtons?

- 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/sec
^{2}?

- A 50 kg skater pushed by a friend accelerates 5 m/sec
^{2}. How much force did the friend apply?

- A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec
^{2}. What is the mass of the object?

- A bowling ball rolled with a force of 15 N accelerates at a rate of 3 m/sec
^{2}; a second ball rolled with the same force accelerates 4 m/sec^{2}. What are the masses of the two balls?

- If a 60 kg person on a 15 kg sled is pushed with a force of 300 N, what will be person’s

acceleration?

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

- An object of mass 300 kg is observed to accelerate at the rate of 4 m/s
^{2}. Calculate the force required to produce this acceleration.

- 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.

- 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.

- 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**

- A force of 64 N is applied to an 8 kg. Mass. What is the acceleration of the mass?

- A 7 kg. Mass is moved across table at 25 m/sec. What force caused the acceleration?

- What force is needed to accelerate a 40 kg. Mass across a surface at 7.5 m/sec?

- A force of 125 N is applied to a 50 kg. Mass. What is the acceleration of the mass?
- A 147 N iron ball weighs 15 kg. What is the acceleration of the ball due to gravity?