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Two rocks collide in outer space. Before the collision, one rock had mass 15 kg and velocity < 4300, -2700, 2600 > m/s. The other rock had mass 10 kg and velocity <
-650, 2200, 3650 > m/s. A 1 kg chunk of the first rock breaks off and sticks to the second rock. After the collision the 14 kg rock has velocity < 1500, 350, 2000 >
m/s. After the collision, what is the velocity of the other rock, whose mass is now 11 kg?
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Transcribed Image Text:Two rocks collide in outer space. Before the collision, one rock had mass 15 kg and velocity < 4300, -2700, 2600 > m/s. The other rock had mass 10 kg and velocity < -650, 2200, 3650 > m/s. A 1 kg chunk of the first rock breaks off and sticks to the second rock. After the collision the 14 kg rock has velocity < 1500, 350, 2000 > m/s. After the collision, what is the velocity of the other rock, whose mass is now 11 kg? Additional Materials eBook m/s
(a) Calculate the magnitude of the gravitational force exerted by Mars on a 65 kg human standing on the surface of Mars. (The mass of Mars is 6.4×1023 kg and its
radius is 3.4×106 m.)
240.0277
N
(b) Calculate the magnitude of the gravitational force exerted by the human on Mars.
240.0277
N
(c) For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is standing 2.5 meters away.
1.76e8
X N
(d) What approximations or simplifying assumptions must you make in these calculations? (Note: Some of these choices are false because they are wrong physics!)
✔ Treat Mars as though it were spherically symmetric.
Ignore the effects of the Sun, which alters the gravitational force that one object exerts on another.
✔ Treat the humans as though they were points or uniform-density spheres.
Use the same gravitational constant in (a) and (b) despite its dependence on the size of the masses.
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Transcribed Image Text:(a) Calculate the magnitude of the gravitational force exerted by Mars on a 65 kg human standing on the surface of Mars. (The mass of Mars is 6.4×1023 kg and its radius is 3.4×106 m.) 240.0277 N (b) Calculate the magnitude of the gravitational force exerted by the human on Mars. 240.0277 N (c) For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is standing 2.5 meters away. 1.76e8 X N (d) What approximations or simplifying assumptions must you make in these calculations? (Note: Some of these choices are false because they are wrong physics!) ✔ Treat Mars as though it were spherically symmetric. Ignore the effects of the Sun, which alters the gravitational force that one object exerts on another. ✔ Treat the humans as though they were points or uniform-density spheres. Use the same gravitational constant in (a) and (b) despite its dependence on the size of the masses. Additional Materials eBook
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