Physics 163

Unit 3: Motion in Two-Dimensions

Problem Set E

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.
• Unless told otherwise, enter positive numbers for your answers.

Problem 1:

A 4.55-kg sign is hung using two cables which make an angle of 24.4 degrees with the horizontal. Determine the weight (in Newtons) of the sign.

Problem 2:

(Referring to the previous problem.) Determine the tension (in Newtons) in a single cable.

Problem 3:

A 34.3-kg sign is hung using two cables which make an angle of 16.4 degrees with the horizontal. Determine the tension (in Newtons) in a single cable.

Problem 4:

A 336.99-Newton sign is hung using two cables which make an angle of 16.4 degrees with the horizontal. Determine the tension (in Newtons) in a single cable.

Problem 5:

Determine the weight (in Newtons) of a sign which is suspended by two cables which make an angle of 15.8 degrees with the horizontal and have an individual tension of 23.6 Newtons.

Problem 6:

Determine the mass (in kilograms) of a sign which is suspended by two cables which make an angle of 41.1 degrees with the horizontal and have an individual tension of 191 Newtons.

Problem 7:

A 4.55-kg chandelier is hung from the ceiling using 3 cables which make an angle of 41.1 degrees with the horizontal. Determine the tension (in Newtons) in each individual cable.

Problem 8:

Use the diagram below to assist in your problem solving. A 117-Newton force is being applied at an upward angle of 30.0 degrees (theta) to accelerate a 33.1-kg box across a horizontal surface. If the surface is frictionless, then determine the magnitude of the acceleration (in m/s/s).

Problem 9:

Use the diagram below to assist in your problem solving. A 117-Newton force is being applied at an upward angle of 29 degrees (theta) to accelerate a 33.1-kg box across a horizontal surface. If the surface is frictionless, then determine the magnitude of the acceleration (in m/s/s).

Problem 10:

Use the diagram below to assist in your problem solving. A 117-Newton force is being applied at an upward angle of 29 degrees (theta) to move a 33.1-kg box across a horizontal surface at a constant velocity. Determine the force of friction (in Newtons) acting upon the object.

Problem 11:

(Referring to the previous problem.) Determine the coefficient of friction ('mu') for the above surfaces. Enter your answer accurate to the third decimal place.

Problem 12:

Use the diagram below to assist in your problem solving. A 401-Newton force is being applied at an upward angle of 30 degrees (theta) to accelerate a 40.21-kg box across a horizontal surface. If the coefficient of friction ('mu') between the surface and the object is 0.245, then determine the acceleration (in m/s/s).

Problem 13:

Use the diagram below to assist in your problem solving. A 187-Newton force is being applied at an upward angle of 30 degrees (theta) to accelerate a 26.1-kg box across a horizontal surface. If the coefficient of friction ('mu') between the surface and the object is 0.461, then determine the acceleration (in m/s/s).

Problem 14:

Use the diagram below to assist in your problem solving. A 3.73-kg object is placed upon an inclined plane which has an incline angle (theta) of 22.3 degrees (theta). The surface is frictionless. Determine the acceleration (in m/s/s) of the object.

Problem 15:

Use the diagram below to assist in your problem solving. A 3.73-kg object is placed upon an inclined plane which has an incline angle (theta) of 22.3 degrees (theta). If the object slides down the inclined plane with a constant velocity, then what is the force of friction (in Newtons) acting upon the object?

Problem 16:

(Referring to the previous problem.) Determine the coefficient of friction ('mu') for the above surfaces. Enter your answer accurate to the third decimal place.

Problem 17:

Use the diagram below to assist in your problem solving. A 3.96-kg object is placed upon an inclined plane which has an incline angle (theta) of 54.4 degrees (theta). If the object slides down the inclined plane with a constant velocity of 1.8 m/s, then what is the force of friction (in Newtons) acting upon the object?

Problem 18:

Use the diagram below to assist in your problem solving. A 3.96-kg object is placed upon an inclined plane which has an incline angle (theta) of 54.4 degrees (theta). The coefficient of friction between the surface and the object is 0.244. Determine the acceleration (in m/s/s) of the object.

Problem 19:

Use the diagram below to assist in your problem solving. A 27.2-kg object is placed upon an inclined plane which has an incline angle (theta) of 57.2 degrees (theta). The coefficient of friction between the surface and the object is 0.189. Determine the acceleration (in m/s/s) of the object.

Problem 20:

Use the diagram below to assist in your problem solving. A 27.2-kg object is placed upon an inclined plane which has an incline angle (theta) of 55.8 degrees (theta). The coefficient of friction between the surface and the object is 0.189. Determine the acceleration (in m/s/s) of the object.

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