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?
2.62 Collision. The engineer of a passenger train traveling at
25.0 m/s sights a freight train whose caboose is 200 m ahead on the
same track (Fig. P2.62). The freight train is traveling at 15.0 m/s in the
same direction as the passenger train. The engineer of the passenger
train immediately applies the brakes, causing a constant acceleration
of 0.100 m/s² in a direction opposite to the train's velocity, while the
freight train continues with constant speed. Take x = 0 at the location
of the front of the passenger train when the engineer applies the brakes.
(a) Will the cows nearby witness a collision? (b) If so, where will it take
place? (c) On a single graph, sketch the positions of the front of the pas-
senger train and the back of the freight train.
Can I get help with how to calculate total displacement? The answer is 78.3x-4.8y
2.70 Egg Drop. You are on the Figure P2.70
roof of the physics building, 46.0 m
above the ground (Fig. P2.70). Your
physics professor, who is 1.80 m tall,
is walking alongside the building at
a constant speed of 1.20 m/s. If you
wish to drop an egg on your profes-
sor's head, where should the profes-
sor be when you release the egg?
Assume that the egg is in free fall.
2.71 CALC The acceleration
of a particle is given by ax(t) =
-2.00 m/s² +(3.00 m/s³)t. (a)
Find the initial velocity Vox such that
v = 1.20 m/s
1.80 m
46.0 m
Chapter 2 Solutions
College Physics: A Strategic Approach (3rd Edition)
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