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
A thoughtful person on a bridge reflecting on his awesome Physics class sees a
small stone by his feet. Hmm, he thought to himself. Using his foot he slowly
nudged the stone off the surface of the bridge and using his cell phone he timed
how long it took to hit the water, about 1.75 s. How high (m) is the bridge
above the water? (neglect air resistance)
The acceleration due to gravity on the surface of a planet depends on the mass and size of the planet; therefore, other planets will have accelerations due to gravity other than 9.8 m / s2. Imagine an astronaut standing on an alien planet, which has no atmosphere, and throws a stone with a velocity of 7.35 m / s in a horizontal direction, dropping it at a height of 1.40 m above the surface of the planet. The rock hits the surface at a horizontal distance of 9.50 m from the astronaut. Find the magnitude of the acceleration due to gravity, in m / s2, on this alien planet.
Chapter 2 Solutions
College Physics
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Ch. 2 - If you divide the total distance traveled on a car...Ch. 2 - How are instantaneous velocity and instantaneous...Ch. 2 - Is it possible for speed to be constant while...Ch. 2 - Is it possible for velocity to be constant while...Ch. 2 - Give an example in which velocity is zero yet...Ch. 2 - If a subway train is moving to the left (has a...Ch. 2 - Plus and minus signs are used in one-dimensional...Ch. 2 - What information do you need in order to choose...Ch. 2 - What is the last thing you should do when solving...Ch. 2 - What is the acceleration of a rock thrown straight...Ch. 2 - An object that is thrown straight up falls back to...Ch. 2 - Suppose you throw a rock nearly straight up at a...Ch. 2 - If an object is thrown straight up and air...Ch. 2 - The severity of a fall depends on your speed when...Ch. 2 - How many times higher could an astronaut jump on...Ch. 2 - (a) Explain how you can use the graph of position...Ch. 2 - (a) Sketch a graph of velocity versus time...Ch. 2 - (a) Explain how you can determine the acceleration...Ch. 2 - (a) Sketch a graph of acceleration versus time...Ch. 2 - Consider the velocity vs. time graph of a person...Ch. 2 - A cylinder is given a push and then rolls up an...Ch. 2 - Find the following for path A in Figure 2.59: (a)...Ch. 2 - Find the following for path B in Figure 2.59: (a)...Ch. 2 - Find the following for path C in Figure 2.59: (a)...Ch. 2 - Find the following for path D in Figure 2.59: (a)...Ch. 2 - (a) Calculate Earth's average speed relative to...Ch. 2 - A helicopter blade spins at exactly 100...Ch. 2 - The North American and European continents are...Ch. 2 - Land west of the San Andreas fault in southern...Ch. 2 - On May 26, 1934, a streamlined, stainless steel...Ch. 2 - Tidal friction is slowing the rotation of the...Ch. 2 - A student drove to the university from her home...Ch. 2 - The speed of propagation of the action potential...Ch. 2 - Conversations with astronauts on the lunar surface...Ch. 2 - A football quarterback runs 15.0 m straight down...Ch. 2 - The planetary model of the atom pictures electrons...Ch. 2 - A cheetah can accelerate from rest to a speed of...Ch. 2 - Professional Application Dr. John Paul Stapp was...Ch. 2 - A commuter backs her car out of her garage with an...Ch. 2 - Assume that an intercontinental ballistic missile...Ch. 2 - An Olympic-class sprinter starts a race with an...Ch. 2 - A well-thrown ball is caught in a well-padded...Ch. 2 - A bullet in a gun is accelerated from the firing...Ch. 2 - (a) A light-rail commuter train accelerates at a...Ch. 2 - While entering a freeway, a car accelerates from...Ch. 2 - At the end of a race, a runner decelerates from a...Ch. 2 - Professional Application: Blood is accelerated...Ch. 2 - In a slap shot, a hockey player accelerates the...Ch. 2 - A powerful motorcycle can accelerate from rest to...Ch. 2 - Freight trains can produce only relatively small...Ch. 2 - A fireworks shell is accelerated from rest to a...Ch. 2 - A swan on a lake gets airborne by flapping its...Ch. 2 - Professional Application: A woodpecker's brain is...Ch. 2 - An unwary football player collides with a padded...Ch. 2 - In World War II, there were several reported cases...Ch. 2 - Consider a grey squirrel falling out of a tree to...Ch. 2 - An express train passes through a station. 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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