SAT II Physics Practice Test 1

SAT II Physics Practice Test 1

Question 1:

What is the magnitude of the vector 3A - B in the figure above?  A.3 B.4 C.5 D.2 E.6

Question 2:

The graph above shows the acceleration of a particle. At t = 0s, the speed of the particle is 1m/s. What is the speed of the particle at t = 4s? 11 m/s 9 m/s 19 m/s 13 m/s 10 m/s

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Question 3:

Forces F1  and F2  in the figure above act on a block of mass m = 10kg that moves on a frictionless surface. What is the acceleration of the block? 1 m/s 1.5 m/s 2 m/s 2.5 m/s 3 m/s

Question 4:

 A block of mass m is moving down an inclined plane with a decreasing speed. The coefficient of friction between the block and the plane is μ. Which of the following statements is true? sin(α) < μ sin(α) > μ cos(α) < μ cos(α) > μ tan(α) < μ

Question 5: When a car's kinetic energy increases 9 times, what happens with its speed?

increases 9 times increases 3 times decreases 9 times decreases 3 times remains constant

Question 6:

 An object of mass 4kg is attached to a spring. The equilibrium position of the object is .4m from the point where the spring exerts no force on the object. What is the spring constant, k? 10 N/m 80 N/m 100 N/m 150 N/m 200 N/m

Question 7:

 An object of mass 10kg sitting on a frictionless horizontal plane is moved from a stationary state by the force shown above. What is the velocity of the object at time t = 5s? 2.5 m/s 3 m/s 4 m/s 5 m/s 6 m/s Answers and Explanations 

Question 1:

What is the magnitude of the vector 3A - B in the figure above? Solution:

The magnitude of the vector 3A is 3 and the magnitude of vector B is 4. The angle between vectors 3A and B is 90o. According to the Pythagorean theorem, the magnitude of 3A - B is 5.

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Question 2:

The graph above shows the acceleration of a particle. At t = 0s, the speed of the particle is 1m/s. What is the speed of the particle at t = 4s? Solution: At t = 2s, the speed of the particle is v 2s  = v0s  + 2m/s2·2s = 5m/s.  At t = 4s, the speed of the particle is v4s  = v2s  + 3m/s2·2s = 11m/s.

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Question 3:

Forces F1  and F2  in the figure above act on a block of mass m = 10kg that moves on a frictionless surface. What is the acceleration of the block? Solution: F1cos(60o) + F2cos(60o) = m·a 20·1/2 + 30·1/2 = 10·a 25 = 10·a a = 2.5m/s2

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Question 4:

 A block of mass m is moving down an inclined plane with a decreasing speed. The coefficient of friction between the block and the plane is μ. Which of the following statements is true?

Solution: Solution: mg sin(α) - � mg cos(α) = a The speed is decreasing so a < 0. This means that mg sin(α) - � mg cos(α) < 0 mg sin(α) < � mg cos(α) tan(α) < �

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Question 5: When a car's kinetic kinetic energy energy increases increases 9 times, times, what hapens with its speed? Solution: The car's initial kinetic energy is E i  = mvi2/2 and the final kinetic energy is Ef  =  = mvf 2/2. Ef /E /Ei  = (vf /v /vi)2 (vf /v /vi)2 = 9 vf /v /vi  = 3

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Question 6:  An object of mass 4kg is attached to a spring. The equilibrium position of the object is .4m from the point where the spring exerts no force on the object. What is the spring constant, k? Solution: F = kx mg = kx k = mg/x k = 40N/.4m k = 100N/m

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Question 7:

 An object of mass 10kg 10 kg sitting on a frictionless horizontal ho rizontal plane is moved from a stationary state by the force shown above. what is the velocity of the object at time t = 5s? Solution: The area under a force versus time graph gives us the impulse given to the object. p = 10/2 + 30 + 10/2 = 40 kg m/s v = p/m v = 4 m/s