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exam1_solutions

# exam1_solutions - Physics 198 Exam I Fall 2011 1 The slope...

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Physics 198 Exam I Fall 2011 1. The slope of a graph of position versus time is equal to what quantity? A) Velocity B) Acceleration C) Force D) Mass E) Kinetic energy Solution: The slope of a graph of position versus time is velocity: t x v = . 2. What is the average speed of a car that travels first 4.0 km at an average speed of 20 km/h and another 4.0 km at an average speed of 80 km/h? A) 60 km/h B) 58 km/h C) 50 km/h D) 38 km/h E) 32 km/h Solution: /h 2 3 25 . 0 0 . 8 h 25 . 0 h 05 . 0 h 20 . 0 0.05h 80km/h 4.00km 0.20h; 20km/h 4.0km 8.0km 4.0km 4.0km 2 1 2 2 2 1 1 1 2 1 km h km t x v t t t v x t v x t x x x = = = = + = + = = = = = = = = + = + = 3. A car accelerates from the stationary position with acceleration 2 / 3 s m a = . What distance will be covered in 2 s? A) 2 m B) 3 m C) 4 m D) 6 m E) 8 m Solution: + + = 2 2 0 0 at t v x x ( 29 ( 29 m s s m x 6 2 2 / 3 2 2 = = Page 1 of 9

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Physics 198 Exam I Fall 2011 4. A projectile lunched at an angle 90 0 < < θ above horizontal. It is observed at the top of trajectory. What statement is false? A) Vertical component of velocity is zero B) Horizontal component of velocity is not zero C) Vertical component of acceleration is not zero D) Horizontal component of acceleration is zero E) Kinetic energy is zero Solution: Horizontal component of velocity: = = 0 0 0 v const v v x x kinetic 0 2 2 = mv K . 5. A zookeeper shoots a tranquilizer dart to a monkey that hangs from a tree. He aims at the monkey and shoots a dart with an initial speed v 0 . The monkey, startled by the gun, lets go immediately. Will the dart hit the monkey? (It is assumed that that the dart will reach the monkey or tree before the monkey hits the ground.) A) Only if v 0 is large enough. B) Only if v 0 is small enough. C) Yes, regardless of the magnitude of v 0 . D) No, it misses the monkey. E) It depends on the weight of the dart Solution: The monkey and the dart fall down with the same acceleration. 6. Mass m attached to a spring with a spring constant k . What will happen with the frequency of oscillation if the mass m increases by a factor of 4? A) Doubled
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exam1_solutions - Physics 198 Exam I Fall 2011 1 The slope...

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