Free Fall on Different Worlds Objects in free fall on the earth have acceleration a y = − 9.8 m/s 2 . On the moon, free-fall acceleration is approximately 1/6 of the acceleration on earth. This changes the scale of problems involving free fall. For instance, suppose you jump straight upward, leaving the ground with velocity v i and then steadily slowing until reaching zero velocity at your highest point. Because your initial velocity is determined mostly by the strength of your leg muscles, we can assume your initial velocity would be the same on the moon. But considering the final equation in Synthesis 2.1 we can see that, with a smaller free-fall acceleration, your maximum height would be greater. The following questions ask you to think about how certain athletic feats might be performed in this reduced-gravity environment. 79. On the earth, an astronaut can safely jump to the ground from a height of 1.0 m; her velocity when reaching the ground is slow enough to not cause injury. From what height could the astronaut safely jump to the ground on the moon? A. 2.4 m B. 6.0m C. 7.2 m D. 36m
Free Fall on Different Worlds Objects in free fall on the earth have acceleration a y = − 9.8 m/s 2 . On the moon, free-fall acceleration is approximately 1/6 of the acceleration on earth. This changes the scale of problems involving free fall. For instance, suppose you jump straight upward, leaving the ground with velocity v i and then steadily slowing until reaching zero velocity at your highest point. Because your initial velocity is determined mostly by the strength of your leg muscles, we can assume your initial velocity would be the same on the moon. But considering the final equation in Synthesis 2.1 we can see that, with a smaller free-fall acceleration, your maximum height would be greater. The following questions ask you to think about how certain athletic feats might be performed in this reduced-gravity environment. 79. On the earth, an astronaut can safely jump to the ground from a height of 1.0 m; her velocity when reaching the ground is slow enough to not cause injury. From what height could the astronaut safely jump to the ground on the moon? A. 2.4 m B. 6.0m C. 7.2 m D. 36m
Objects in free fall on the earth have acceleration ay = − 9.8 m/s2. On the moon, free-fall acceleration is approximately 1/6 of the acceleration on earth. This changes the scale of problems involving free fall. For instance, suppose you jump straight upward, leaving the ground with velocity vi and then steadily slowing until reaching zero velocity at your highest point. Because your initial velocity is determined mostly by the strength of your leg muscles, we can assume your initial velocity would be the same on the moon. But considering the final equation in Synthesis 2.1 we can see that, with a smaller free-fall acceleration, your maximum height would be greater. The following questions ask you to think about how certain athletic feats might be performed in this reduced-gravity environment.
79. On the earth, an astronaut can safely jump to the ground from a height of 1.0 m; her velocity when reaching the ground is slow enough to not cause injury. From what height could the astronaut safely jump to the ground on the moon?
Solve and answer the question correctly please. Thank you!!
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The position of a particle is described by r = (300e 0.5t) mm and 0 = (0.3t²) rad,
where t is in seconds.
Part A
Determine the magnitude of the particle's velocity at the instant t = 1.5 s.
Express your answer to three significant figures and include the appropriate units.
v =
Value
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Part B
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Units
Determine the magnitude of the particle's acceleration at the instant t = 1.5 s.
Express your answer to three significant figures and include the appropriate units.
a =
Value
A
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Units
Solve and answer the question correctly please. Thank you!!
Chapter 2 Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for College Physics: A Strategic Approach (3rd Edition)
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