Physics 163

Unit 2: Newton's Laws of Motion

Problem Set A

The following selection of problems are sample problems. Individual student problem sets will vary since numerical information is randomly-generated.

Directions:

For the following problems:

• Compute the unknown quantity and enter the answer in the blank.
• Use 9.8 m/s/s as the numerical value of g for situations upon Earth.
• Do not round any computed numbers until the last calculation.
• Unless told otherwise, enter your answers accurate to the second decimal place.

Problem 1:

What net force (in Newtons) would be required to give a mass of 56 kg an acceleration of 6.4m/s/s?

Problem 2:

A net force of 56 Newtons will cause a mass of 1.8 kg to accelerate at a rate of ____ m/s/s.

Problem 3:

A net force of 560.3 Newtons will cause an object to have an acceleration of 9 m/s/s. Determine the mass of the object in kg.

Problem 4:

Suppose that a force F gives an object with a mass of m an acceleration of 5.2 m/s/s. If the force were increased by a factor of 4, then the new acceleration would be ____ m/s/s.

Problem 5:

Suppose that a force F gives an object with a mass of m an acceleration of 32 m/s/s. If the mass were increased by a factor of 4, then the new acceleration would be ____ m/s/s.

Problem 6:

Suppose that a force F gives an object with a mass of m an acceleration of 70 m/s/s. If the force were increased by a factor of 3.2, and the mass were increased by a factor of 7.2, then the new acceleration would be ____ m/s/s.

Problem 7:

Suppose that a force F gives an object with a mass of m an acceleration of 46 m/s/s. If the force were decreased by a factor of 3.2, and the mass were decreased by a factor of 7.2, then the new acceleration would be ____ m/s/s.

Problem 8:

If an object weighs 420.2 Newtons on Earth, then its mass is ____ kg.

Problem 9:

Determine the weight (in Newtons) of a 64 kg object on planet Earth.

Problem 10:

The acceleration of gravity on planet X is 11 m/s/s. If an object weighs 500.4 Newtons on Earth, then its mass on planet X would be ____ kg.

Problem 11:

The acceleration of gravity on planet Y is 16 m/s/s. If an object has a mass of 58 kg, then its weight on planet Y would be ____ N.

Problem 12:

Determine the acceleration (in m/s/s) of a 25-N object which experiences a net force of 90 N.

Problem 13:

 Determine the horizontal acceleration (in m/s/s) of the object whose force diagram is depicted at the right. The values of the individual forces are: Fgrav = Fnorm = 36 N Fapp = 28 N Ffrict = 5.7 N

Problem 14:

 Determine the horizontal acceleration (in m/s/s) of the object whose force diagram is depicted at the right. The values of the individual forces are: Fgrav = Fnorm = 19 N Ftens = 42 N Ffrict = 12.2 N

Problem 15:

Evaluate the following statements and identify all that are true. Enter your answer in alphabetical order using small case letters with no spaces nor commas between the letters. (Example - "def")

a. More massive objects have more inertia than less massive objects.

b. If the forces acting upon an object are balanced, then it must be at rest.

c. Inertia is a force which acts upon objects at rest.

d. A 6.0-N net force would be required to keep a 3.0-kg object moving with a constant speed of 2.0 m/s.

e. The symbol g stands for the quantity known as gravity.

f. Fast-moving objects experience large net forces.

g. A feather and an elephant will have the same weight within a vacuum.

h. If you stand on a bathroom scale and bounce, the scale reading changes. This means that you weigh differently ( more or less) than if you were to standing at rest.

i. More massive objects have the same inertia as less massive objects; yet more massive objects willweigh more.

j. The acceleration of an object can be calculated by dividing the net force acting upon the object by the weight of the object.

k. The weight of an object can be expressed in units of kilograms or grams.

l. Weight and mass are the same thing; it's just that they have different values on different planets.

m. A massive object would be much easier to accelerate horizontally if placed in an environment in space where gravitational forces were less intense. (Assume negligible friction.)

n. You and your lab partner will experience a force of gravitational attraction when standing next to each other.

o. On Earth, the force of gravity acting upon an object is 9.8 times the weight of the object.

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