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23 Nov 2019

Question 1

If you drop a 2.22 kg rock from a height of 1.25 m on Mars whosemass is 6.42x1023 kg and radius is 3.37x106 m, what will be the netforce on the falling rock in Newtons?Answer 8.37 N
13.4 N
19.0N
21.8 N
.


If you drop a 2.22 kg rock from a height of 1.25 m on Mars whosemass is 6.42x1023 kg and radius is 3.37x106 m, what will be therock's speed when it strikes Mars surface?Answer 1.49 m/s
2.63 m/s
3.07 m/s
5.34 m/s


What is the magnitude of the gravitational force between the Earthand the Moon? The mass of the Moon is 7.349x1022kg and its meandistance from the Earth is 3.84x108m. The equatorial radius of theEarth is 6378 km and its mass is 5.974x1024kg.Answer 1.99x1014N
1.99x1016 N
1.99x1018 N
1.99x1020 N
.


At what distance from the center of the Earth will the force ofgravity due to the Earth be Equal to the force of gravity of theMoon, i.e. where between the Earth and the Moon will the force ofgravity be the same? The mass of the Moon is 7.349x1022kg and itsmean distance from the Earth is 3.84x108m. The equatorial radius ofthe Earth is 6378 km and its mass is 5.974x1024kg.Answer 1.44x108m
1.71x108 m
2.49x108 m
3.45x108 m

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

In the example 12.5 (Section 12.3) in the textbook we ignored thegravitational effects of the moon on a spacecraft en route from theearth to the moon. In fact, we must include the gravitationalpotential energy due to the moon as well. For this problem, you canignore the motion of the earth and moon.

Part A
If the moon of mass m_{\rm M} has radius R_{\rm M} and the distancebetween the centers of the earth and the moon is R_{\rm EM}, findthe total gravitational potential energy of the particle-earth andparticle-moon systems when a particle with mass m is between theearth and the moon, and a distance r from the center of the earth.Take the gravitational potential energy to be zero when the objectsare far from each other. Take the mass of earth as m_{\rm E}.

Part B
There is a point along a line between the earth and the moon wherethe net gravitational force is zero. Use the expression derived inpart (a) to find the distance of this point from the center of theearth.

Part C
With what speed must a spacecraft be launched from the surface ofthe earth just barely to reach this point?

Part D
If a spacecraft were launched from the earth's surface toward themoon with an initial speed of 11.2 {\rm km/s}, with what speedwould it impact the moon?

Your firm is designing a new roller-coaster ride. The permitprocess requires the calculation of forces and accelerations atvarious important locations on the ride. Each roller-coaster carwill have a total mass (including passengers) of 800 kg and willtravel freely along the winding frictionless track shown in thefigure below. Points A, E, and G are on horizontal straightsections, all at the same height of 10 m above the ground. Point Cis at a height of 10 m above the ground on an inclined section ofslope angle 30°. Point B is at the crest of a hill, while point Dis at ground level at the bottom of a valley; the radius ofcurvature at both of these points is 20 m. Point F is at the middleof a banked horizontal curve with a radius of curvature of 35 m andat the same height as points A, E, and G. At point A the speed ofthe car is 11.1 m/s.

(a) If the car is just barely to make it over the hill at point B,what must be the height of point B above the ground?
__ m

(b) If the car is to just barely make it over the hill at point B,what should be the magnitude of the force exerted by the track onthe car at that point?
__kN

(c) What will be the acceleration of the car at point C?
__ m/s2

(d) What will be the magnitude and direction of the force exertedby the track on the car at point D?
__ kN directed 5 ---Select--- upward downward

(e) What will be the magnitude and direction of the force exertedby the track on the car at point F?
__ kN directed 7° upward from the horizontal.

(f) At point G a constant braking force is to be applied to thecar, bringing it to a halt in a distance of 30 m. What is themagnitude of this required braking force?
__ kN

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