College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 2, Problem 24CQ
The severity of a fall depends on your speed when you strike the ground. All factors but the acceleration due to gravity being the same, how many times higher could a safe fall on the Moon be than on Earth (gravitational acceleration on the Moon is about 1/6 that of the Eat)?
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When we estimate distances from velocity data, it is sometimes necessary to use times
t0, t1, t2, t3, . . .
that are not equally spaced. We can still estimate distances using the time periods
Δti = ti − ti − 1.
For example, a space shuttle was launched on a mission, the purpose of which was to install a new motor in a satellite. The table provided gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Use these data to estimate the height, h, above Earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.)h = ft
Event
Time (s)
Velocity (ft/s)
Launch
0
0
Begin roll maneuver
10
180
End roll maneuver
15
319
Throttle to 89%
20
442
Throttle to 67%
32
742
Throttle to 104%
59
1217
Maximum dynamic pressure
62
1430
Solid rocket booster separation
125
4052
The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.18 m above the floor. The ball hits the floor 0.147 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)?
The acceleration due to gravity of a particle falling toward the earth is a=-gR2/r2, where r is the distance from the center of the earth to the particle, R is the radius of the earth, and g is the acceleration due to gravity at the surface of the earth. If R = 3960 mi, calculate the escape velocity, that is, the minimum velocity with which a particle must be projected vertically upward from the surface of the earth if it is not to return to the earth. (Hint: v = 0 for r= ∞.)
Chapter 2 Solutions
College Physics
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It...Ch. 2 - Dragsters can actually reach a top speed of 145...Ch. 2 - A bicycle racer sprints at the end of a race to...Ch. 2 - In 1967, New Zealander Burt Munro set the world...Ch. 2 - (a) A world record was set for the men's 100-m...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - A basketball referee tosses the ball straight up...Ch. 2 - A rescue helicopter is hovering over a person...Ch. 2 - A dolphin in an aquatic show jumps straight up out...Ch. 2 - A swimmer bounces straight up from a diving board...Ch. 2 - (a) Calculate the height of a cliff if it takes...Ch. 2 - A very strong, but inept, shot putter puts the...Ch. 2 - You throw a ball straight up with an initial...Ch. 2 - A kangaroo can jump over an object 2.50 m high....Ch. 2 - Standing at the base of one of the cliffs of Mt....Ch. 2 - An object is dropped from a height of 75.0 m above...Ch. 2 - There is a 250-m-high cliff at Half Dome in...Ch. 2 - A ball is thrown straight up. It passes a...Ch. 2 - Suppose you drop a rock into a dark well and,...Ch. 2 - A steel ball is dropped onto a hard floor from a...Ch. 2 - A coin is dropped from a hot-air balloon that is...Ch. 2 - A soft tennis ball is dropped onto a hard floor...Ch. 2 - (a) By taking the slope of the curve in Figure...Ch. 2 - Using approximate values, calculate the slope of...Ch. 2 - Using approximate values, calculate the slope of...Ch. 2 - By taking the slope of the curve in Figure 2.63,...Ch. 2 - Construct the displacement graph for the subway...Ch. 2 - (a) Take the slope of the curve in Figure 2.64 to...Ch. 2 - A graph of v(t) is shown for a world-class track...Ch. 2 - Figure 2.68 shows the displacement graph for a...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- You wake up in a strange room and you drop a ball from a height of 1.02 m above the floor. The ball hits the floor 0.319 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earths. What is this planets g (that is, the magnitude of the acceleration due to gravity on this planet)? 36.0 m/s^2 20.0 m/s^2 10.0 m/s^2 15.0 m/s^2arrow_forwardThe acceleration due to gravity at Earth's surface is 9.80 m/s2. What is the acceleration at altitudes of 100 km?arrow_forwardThe average person passes out at an acceleration of 7g (that is, seven times the gravitational acceleration on Earth). Suppose a car is designed to accelerate at this rate. How much time would be required for the car to accelerate from rest to 66.2 miles per hour? (The car would need rocket boosters!) Answer is in seconds!arrow_forward
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