unit 2 review nonlinear motion and circular motion

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Unit 2 Review Nonlinear Motion and Circular Motion

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Page 1: Unit 2 Review Nonlinear Motion and Circular Motion

Unit 2 Review

Nonlinear Motion and

Circular Motion

Page 2: Unit 2 Review Nonlinear Motion and Circular Motion

The mass of a paper clip is approximately

(A) 1 × 106 kg(B) 1 × 103 kg (C) 1 × 10–3 kg(D) 1 × 10–6 kg

Page 3: Unit 2 Review Nonlinear Motion and Circular Motion

Which pair of graphs represents the same motion of an object?

Page 4: Unit 2 Review Nonlinear Motion and Circular Motion

The diagram represents two concurrent forces. Which vector represents the force that will produce equilibrium with these two forces?

Page 5: Unit 2 Review Nonlinear Motion and Circular Motion

The speedometer in a car does not measure the car’s velocity because velocity is a

(A) vector quantity and has a direction associated with it

(B) vector quantity and does not have a direction associated with it

(C) scalar quantity and has a direction associated with it

(D) scalar quantity and does not have

Page 6: Unit 2 Review Nonlinear Motion and Circular Motion

A golf ball is given an initial speed of 20 m/s and returns to level ground. Which launch angle above level ground results in the ball traveling the greatest horizontal distance? [Neglect friction.]

(A) 60°(B) 45°(C) 30° (D) 15°

Page 7: Unit 2 Review Nonlinear Motion and Circular Motion

A golf ball is hit with an initial velocity of 15 m/s at an angle of 35 degrees above the horizontal. What is the vertical component of the golf ball’s initial velocity?

(A) 8.6 m/s (C) 12 m/s (B) 9.8 m/s (D) 15 m/s

Page 8: Unit 2 Review Nonlinear Motion and Circular Motion

A golf ball is hit with an initial velocity of 15 meters per second at an angle of 35 degrees above the horizontal. What is the vertical component of the golf ball’s initial velocity?

(A) 8.6 m/s(B) 9.8 m/s (C) 12 m/s(D) 15 m/s

Page 9: Unit 2 Review Nonlinear Motion and Circular Motion

An airplane flies with a velocity of 750 km/hour, 30.0° south of east. What isthe magnitude of the eastward component of the plane’s velocity?

(A) 866 km/h (B) 433 km/h(C) 650 km/h (D) 375 km/h

Page 10: Unit 2 Review Nonlinear Motion and Circular Motion

A motorboat, which has a speed of 5.0 m/s in still water, is headed east as it crosses a river flowing south at 3.3 m/s. What is the magnitude of the boat’s resultant velocity with respect to the starting point?

(A) 3.3 m/s (B) 5.0 m/s (C) 6.0 m/s(D) 8.3 m/s

Page 11: Unit 2 Review Nonlinear Motion and Circular Motion

A projectile launched at an angle of 45° above the horizontal travels through the air. Compared to the projectile’s theoretical path with no air friction, the actual trajectory of the projectile with air friction is

(A) lower and shorter(B) lower and longer (C) higher and shorter(D) higher and longer

Page 12: Unit 2 Review Nonlinear Motion and Circular Motion

A child kicks a ball with an initial velocity of 8.5 meters per second at an angle of 35º with the horizontal, as shown. The ball has an initial vertical velocity of 4.9 meters per second and a total time of flight of 1.0 second.

The horizontal component of the ball’s initial velocity is approximately

(A) 3.6 m/s (B) 4.9 m/s (C) 7.0 m/s (D) 13 m/s

Page 13: Unit 2 Review Nonlinear Motion and Circular Motion

A child kicks a ball with an initial velocity of 8.5 meters per second at an angle of 35º with the horizontal, as shown. The ball has an initial vertical velocity of 4.9 meters per second and a total time of flight of 1.0 second.

The maximum height reached by the ball is approximately

(A) 1.2 m (B) 2.5 m (C) 4.9 m (D) 8.5 m

Page 14: Unit 2 Review Nonlinear Motion and Circular Motion

A soccer player kicks a ball with an initial velocity of 10 m/s at an angle of 30° above the horizontal. The horizontal component of the ball’s initial velocity is

(A) 5.0 m/s (B) 8.7 m/s (C) 9.8 m/s(D) 10 m/s

Page 15: Unit 2 Review Nonlinear Motion and Circular Motion

Two stones, A and B, are thrown horizontally from the top of a cliff. Stone A has an initial speed of 15 meters per second and stone B has an initial speed of 30 meters per second. Compared to the time it takes stone A to reach the ground, the time it takes stone B to reach the ground is

(A) the same (B) twice as great (C) half as great(D) four times as great

Page 16: Unit 2 Review Nonlinear Motion and Circular Motion

A ball dropped from rest falls freely until it hits the ground with a speed of 20 m/s. The time during which the ball is in free fall is approximately

(A) 1 s(B) 0.5 s (C) 2 s(D) 10 s

Page 17: Unit 2 Review Nonlinear Motion and Circular Motion

A student standing on the roof of a 50.0-meter-high building kicks a stone at a horizontal speed of 4.00 meters per second. How much time is required for the stone to reach the level ground below?

(A) 3.19 s(B) 5.10 s (C) 10.2 s(D) 12.5 s

Page 18: Unit 2 Review Nonlinear Motion and Circular Motion

A student standing on the roof of a 50.0-meter-high building kicks a stone at a horizontal speed of 4.00 meters per second. How much time is required for the stone to reach the level ground below?

(A) 12.8 m(B) 0.80 m (C) 40.8 m(D) 50.0 m

Page 19: Unit 2 Review Nonlinear Motion and Circular Motion

A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the cliff is 125 m high, how much time elapses until the ball hits the ground?

(A) 2.0 s (B) 5.0 s(C) 6.2 s (D) 12.5 s

Page 20: Unit 2 Review Nonlinear Motion and Circular Motion

A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the cliff is 125 m high, how much far from the edge of the cliff does the ball hit?

(A) 24 m (B) 72 m(C) 120 m (D) 585 m

Page 21: Unit 2 Review Nonlinear Motion and Circular Motion

A target is placed 117 m from the base of a cliff. If the cliff is 125 m high, how fast does the ball have to be thrown to hit the target?

(A) 5.2 m/s(B) 23.4 m/s(C) 120 m/s(D) 585 m/s

Page 22: Unit 2 Review Nonlinear Motion and Circular Motion

A car rounds a horizontal curve of constant radius at a constant speed. Which diagram best representsthe directions of both the car’svelocity, v, and acceleration, a?

Page 23: Unit 2 Review Nonlinear Motion and Circular Motion

A ball thrown vertically upward reaches a maximum height of 30 meters above the surface of Earth. At its maximum height, the speed of the ball is

(A) 0.0 m/s (C) 9.8 m/s(B) 3.1 m/s (D) 24 m/s

Page 24: Unit 2 Review Nonlinear Motion and Circular Motion

A ball of mass M at the end of a string is swung in a horizontal circular path of radius R at constant speed V. Which combination of changes would require the greatest increase in the centripetal force acting on the ball?

(A) doubling V and doubling R(B) doubling V and halving R(C) halving V and doubling R(D) halving V and halving R

Page 25: Unit 2 Review Nonlinear Motion and Circular Motion

Which graph best represents the relationship between the magnitude of the centripetal acceleration and the speed of an object moving in a circle of constant radius?

Page 26: Unit 2 Review Nonlinear Motion and Circular Motion

A ball dropped from rest falls freely until it hits the ground with a speed of 20 meters per second. The time during which the ball is in free fall is approximately

(A) 1 s (B) 2 s (C) 0.5 s(D) 10 s

Page 27: Unit 2 Review Nonlinear Motion and Circular Motion

An object was projected horizontally from a tall cliff. The diagram shows the path of the object, neglecting friction. How does the magnitude of the horizontal component of the object’s velocity at point A compare with the magnitude of the horizontal component of the object’s velocity at point B?

(A) A=B (B) A>B (C) A<B (D) NEI

Page 28: Unit 2 Review Nonlinear Motion and Circular Motion

An object was projected horizontally from a tall cliff. The diagram shows the path of the object, neglecting friction. How does the magnitude of the vertical component of the object’s velocity at point A compare with the magnitude of the vertical component of the object’s velocity at point B?

(A) A=B (B) A>B (C) A<B (D) NEI

Page 29: Unit 2 Review Nonlinear Motion and Circular Motion

In an experiment, a rubber stopper is attached to one end of a string that is passed through a plastic tube before weights are attached to the other end. The stopper is whirled in a horizontal circular path at constant speed. What is the angular velocity (rps) if the radius is 1 meter and it takes 0.5 seconds to make a complete circle?

Page 30: Unit 2 Review Nonlinear Motion and Circular Motion

In an experiment, a rubber stopper is attached to one end of a string that is passed through a plastic tube before weights are attached to the other end. The stopper is whirled in a horizontal circular path at constant speed. What is the linear velocity (m/s) if the radius is 1 meter and it takes 0.5 seconds to make a complete circle?

Page 31: Unit 2 Review Nonlinear Motion and Circular Motion

In an experiment, a rubber stopper is attached to one end of a string that is passed through a plastic tube before weights are attached to the other end. The stopper is whirled in a horizontal circular path at constant speed. What is the angular acceleration (m/s2) if the radius is 1 meter and it takes 0.5 seconds to make a complete circle?

Page 32: Unit 2 Review Nonlinear Motion and Circular Motion