1-89 Develop an expression for the change in gravitational acceleration Ag between the surface of the earth and a |height h when h<< Rp.

1-81 On the surface of the earth the weight of a body is 200 lb. At what distance from the center of the earth would the weight of the body be 100 lb?

2/113 A space shuttle which moves in a circular orbit around the earth at a height h 150 mi above its surface must have a speed of 17,369 mi/hr. Calculate the gravitational accelerationg for this altitude. The mean radius of the earth is 3959 mi. (Check your an- swer by computing g from the gravitational law g = R go where go = 32.22 ft/sec2 from Table D/2 R+h in Appendix D.)

MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 6.91 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity. What maximum height does the spaceship reach (in m)? Ignore air resistance. 3952535 (b) A meteoroid falls from a height of 1.91 x 107 m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteoroid is initially at rest with respect to the Earth. (Note that a meteorite is a meteoroid that makes it to Earth's surface.) 10698.65 X The fall of the meteorite is the time-reversal of the upward flight of the projectile, so it is described by the same energy equation as in part (a). m/s. Need Help? Read It Si

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Field g on Different Planets 1 3. m m m,r m,2r 2 > 受,2r Four planets have relative masses and radii as shown above. The gravitational field g is smallest on the surface of which planet? 1 2 4 4. 2.

The gravitational force exerted by the earth on a unit massat a distance r from the center of the planet is   where M is the mass of the earth,R is its radius, and G isthe gravitational constant. Is F a continuous function of r ?

How far above the surface of the earth would you have to be before your weight is reduced by 14.02%

A mass ?m is suspended from a massless spring of natural length 90 cm with the spring constant ?=10k=10 Nm-1 and causes the spring to extend by 9.5 cm.  Assuming the gravitational field strength ?=9.8g=9.8 ms-2, calculate the value of the mass on the spring. Give your answer in SI units