Physics Test Chapters C1-2 (Fall 07) Name _____________________

To receive full credit you must clearly show all the steps in your solutions. The number in parenthesis shows the relative value of each question. If you do not fully understand a question do not hesitate to ask for clarification. If an extra sheet is required for any drawings staple the sheet to this test and put a * on your paper where the drawing should be.

Tell which of the four types of interactions apply in each of the following cases. More than one may apply.

(5) The force that holds the nucleus of the atom together.

(5) The force that holds the water in the bottom of a glass.

(5) The force that you feel when you bump your head on too low a door.

(10) You are landing your private jet and the wheels just touch the ground and the brakes are applied. Describe all the interactions involving your plane at the instant you touch the ground. Tell which of the above fundamental forces is responsible for this force.

(10) Light travels 186,000 miles in a second. Use the unit multiplier method to find how many seconds it takes light to travel a millimeter. Remember that there are 5,280 ft in a mile and 2.54 cm in an inch. If you need any further conversion factors, you may ask the instructor. Clearly show all your work.

(10) You use the millimeter scale of a ruler to measure the length and width of the above rectangle. You take a series of measurements of the and find the average length to be 12.3 cm and the average width to be 4 mm. What is the uncertainty of the area of this box? Explain completely the assumptions you make and each step of your calculation of the answer to the question.

(10) Why is force a vector and mass a scalar? Explain using the definitions of scalar and vector.

(3) What is the metric name of trillion (10¹²) meters? _________________________

(3) How many picometers in a meter? _____________________________

C

(10) Consider the 3 vectors shown. Sketch the resultant of E = B - 2C + A.

A

(6) Sketch and label the two vectors A = - 3, and

(10) Calculate the magnitude and direction of C = B – A. Draw and label a figure showing the magnitude and direction of the resultant vector C.

Two vectors are shown above. has a magnitude of 50 and makes and angle (θ) of 75 degrees with the y axis and a magnitude of 150 and makes an angle (φ) of 57 degrees with the x axis. (see the questions on the next page.)

(5) In the space below sketch the vectors (=- 2) clearly showing the resultant. This is just a drawing and should be made small enough to fit in the space below. Clearly label all the vectors in the drawing.

(10) Write vectors u₁ and u₂ in vector component (unit vector) form.

(5) Write the vectors u₁ and u₂ in column vector form.

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(10) Calculate the magnitude and direction of the resultant of (=- 2).

(10) Draw a diagram and label both the magnitude and any appropriate angle of the resultant (u₃).