Question: A jogger runs halfway around a circular path with a radius of 60 m. What, respectively, are the magnitude of the displacement and the distance jogged?
Answer Choices:
A) 188 m, 120 m
B) 120 m, 188 m
C) 150 m, 200 m
D) 200 m, 150 m
Answer: b. 120 m, 188 m
Question: John throws a baseball from the outfield from shoulder height, at an initial velocity of 29.4 m/s at an initial angle of 30.0° with respect to the horizontal. The ball is in its trajectory for a total interval of 3.00 s before the third baseman catches it. Ignore the air resistance. What is the ball’s horizontal displacement?
Answer Choices:
A) 65.3 m
B) 70.2 m
C) 76.4 m
D) 80.0 m
Answer: c. 76.4 m
Question: A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.4 m/s at an initial angle of 30.0° with respect to the horizontal. If it is in its trajectory for a total of 3.00 s before being caught by the third baseman, what is the ball’s net vertical displacement during its 3-s trajectory?
Answer Choices:
A) zero
B) 5 m
C) 10 m
D) 15 m
Answer: a. zero
Question: A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.4 m/s at an initial angle of 30.0° with respect to the horizontal. What is the maximum vertical displacement that the ball reaches during its trajectory?
Answer Choices:
A) 9.0 m
B) 10.5 m
C) 11.0 m
D) 12.5 m
Answer: c. 11.0 m
Question: A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.4 m/s at an initial angle of 30.0° with respect to the horizontal. It is being caught by the third baseman. At what point is the ball’s speed at a minimum?
Answer Choices:
A) At the peak of its trajectory
B) At the time of release
C) Just before being caught
D) When it is halfway through its trajectory
Answer: a. At the peak of its trajectory
Question: A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 12 m/s. A stopwatch measures the stone’s trajectory time from top of cliff to bottom to be 5.6 s. What is the height of the cliff? (Ignore air resistance.)
Answer Choices:
A) 90 m
B) 100 m
C) 120 m
D) 140 m
Answer: c. 120 m
Question: A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 12 m/s. A stopwatch measures the stone’s trajectory time from top of cliff to bottom to be 5.6 s. How far out from the cliff’s edge does the stone travel horizontally? Ignore air resistance.
Answer Choices:
A) 45 m
B) 52 m
C) 58 m
D) 64 m
Answer: c. 58 m
Question: A stone is thrown with an initial speed of 15 m/s at an angle of 53° above the horizontal from the top of a 35 m building. If 𝑔=9.8m/s2g=9.8m/s 2 and air resistance is negligible, then what is the magnitude of the vertical velocity component of the rock as it hits the ground?
Answer Choices:
A) 21 m/s
B) 25 m/s
C) 29 m/s
D) 33 m/s
Answer: c. 29 m/s
Question: A stone is thrown with an initial speed of 15 m/s at an angle of 53° above the horizontal from the top of a 35 m building. If 𝑔=9.8m/s2g=9.8m/s 2 and air resistance is negligible, then what is the speed of the rock as it hits the ground?
Answer Choices:
A) 20 m/s
B) 25 m/s
C) 30 m/s
D) 35 m/s
Answer: c. 30 m/s
Question: A jet airliner moving at 500 mph due east moves into a region where the wind is blowing at 120 mph in a direction 30.0° north of east. What is the new velocity and direction of the aircraft?
Answer Choices:
A) 550 mph, 15.6° N of E
B) 600 mph, 20.3° N of E
C) 607 mph, 5.67° N of E
D) 625 mph, 10.4° N of E
Answer: c. 607 mph, 5.67° N of E
Question: A boat moves at 10.0 m/s relative to the water. If the boat is in a river where the current is 2.00 m/s, how long does it take the boat to make a complete round trip of 1 000 m upstream followed by a 1 000-m trip downstream?
Answer Choices:
A) 200 s
B) 208 s
C) 220 s
D) 230 s
Answer: b. 208 s
Question: A river flows due east at 3.0 m/s. A boat crosses the 300-m-wide river by maintaining a constant velocity of 10 m/s due north relative to the water. If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?
Answer Choices:
A) 70 m
B) 80 m
C) 90 m
D) 100 m
Answer: c. 90 m
Question: A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 40 mph. At what rate is the plane moving north?
Answer Choices:
A) 190 mph
B) 196 mph
C) 200 mph
D) 205 mph
Answer: b. 196 mph
Question: Alex, parked by the side of an east-west road, is watching car P, which is moving in a westerly direction. Barbara, driving east at a speed of 52 km/h, watches the same car.
Answer Choices:
[No answer choices visible in source]
Answer: The problem appears incomplete or lacking additional details to conclude the correct answer.
Question: A 7.0-kg bowling ball experiences a net force of 5.0 N. What will be its acceleration?
Answer Choices:
[No answer choices visible in source]
Answer: 0.71 m/s²
Question: An astronaut applies a force of 500 N to an asteroid and it accelerates at 7.00 m/s². What is the asteroid’s mass?
Answer Choices:
[No answer choices visible in source]
Answer: 71 kg
Question: Two ropes are attached to a 40-kg object. The first rope applies a force of 25 N and the second, 40 N. If the two ropes are perpendicular to each other, what is the resultant acceleration of the object?
Answer Choices:
[No answer choices visible in source]
Answer: 1.2 m/s²
Question: A 2 000-kg sailboat experiences an eastward force of 3 000 N by the ocean tide and a wind force against its sails with magnitude of 6 000 N directed toward the northwest (45° N of W). What is the magnitude of the resultant acceleration?
Answer Choices:
[No answer choices visible in source]
Answer: 2.2 m/s²
Question: A 2 000-kg sailboat experiences an eastward force of 3 000 N by the ocean tide and a wind force against its sails with magnitude of 6 000 N directed toward the northwest (45° N of W). What is the direction of the resultant acceleration?
Answer Choices:
[No answer choices visible in source]
Answer: 74° N of W
Question: A boxcar of mass 200 tons at rest becomes uncoupled on a 2.5° grade. If the track is considered to be frictionless, what speed does the boxcar have after 10 seconds?
Answer Choices:
[No answer choices visible in source]
Answer: 4.3 m/s
Question: A 500-N tightrope walker stands at the center of the rope such that each half of the rope makes an angle of 10.0° with the horizontal. What is the tension in the rope?
Answer Choices:
[No answer choices visible in source]
Answer: 1 440 N
Question: A 500-N tightrope walker stands at the center of the rope. If the rope can withstand a tension of 1 800 N without breaking, what is the minimum angle the rope can make with the horizontal?
Answer Choices:
[No answer choices visible in source]
Answer: 8°
Question: A 20-kg traffic light hangs midway on a cable between two poles 40 meters apart. If the sag in the cable is 0.40 meters, what is the tension in each side of the cable?
Answer Choices:
[No answer choices visible in source]
Answer: 4 900 N
Question: A block of mass 5.00 kg rests on a horizontal surface where the coefficient of sliding kinetic friction between the two is 0.200. A string attached to the block is pulled horizontally, resulting in a 2.00-m/s² acceleration by the block. Find the tension in the string.
Answer Choices:
[No answer choices visible in source]
Answer: 19.8 N
Question: A horizontal force of 750 N is needed to overcome the force of static friction between a level floor and a 250-kg crate. What is the acceleration of the crate if the 750-N force is maintained after the crate begins to move and the coefficient of kinetic friction is 0.127?
Answer Choices:
[No answer choices visible in source]
Answer: 1.8 m/s²