Question

QUESTION #1

In each hand you hold a 0.16-kg apple

Part A

What is the gravitational force exerted by each apple on the other when their separation is 0.22 m ?

Express your answer using two significant figures.

Part B

What is the gravitational force exerted by each apple on the other when their separation is 0.48 m ?

Express your answer using two significant figures.

QUESTION #2

A 6.4-kg bowling ball and a 7.6-kg bowling ball rest on a rack 0.71 m apart.

Part A

What is the force of gravity exerted on each of the balls by the other ball?

Express your answer using two significant figures.

Part B

At what separation is the force of gravity between the balls equal to 2.2×10⁻⁹ N ?

Express your answer using two significant figures.

QUESTION #3

The Attraction of Ceres Ceres, the largest asteroid known, has a mass of roughly 8.7×1020kg.

Part A

If Ceres passes within 1.8×10⁴ km of the spaceship in which a 74 kg astronaut is traveling, what force does it exert on she? (Treat the astronaut and the asteroid as point objects.)

Express your answer using two significant figures.

Answer 1

A) The magnitude of the gravitational force between the two apples is F = G. m^2/r^2 F = (6.67 times 10^-11) (0.16kg)^2/(0.22 m)^2 F = 3.5 times 10^-11 n B)F = (6.67 times 10^-11) (0.16 kg)^2/(0.48m)^2 F = 7.4 times 10^12 N 2) A) we know, F = m1m2 G/r^2 F = (6.4 kg)(7.6 kg)(6.67 times 10^-11)/(0.71m)^2 = 6.4 times 10^-9 N B) r^2 = mm2 G/F r^2 = (6.4 kg)(7.6 kg)(6.67 times 10^-11)/(2.2 times 10^-9 N) r = 1.2 m => 1.2 m 3)A) F = G m1m2/r^2 = 0.0132 N = 0.013N.