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There are two balls located in deep space as shown in the figure. The black ball

ID: 1281279 • Letter: T

Question

There are two balls located in deep space as shown in the figure. The black ball has mass 60kg and the red ball has mass 12kg. The distance between the two balls is r=28cm.

(a) Find the magnitude of the acceleration of the red ball, a. m/s2

(b) If r is 4 times larger, with what factor will the acceleration a change?

(c) If the mass of the black ball is 25 times larger, with what factor will the acceleration a change?

(d) If the mass of the red ball is 40 times larger, with what factor will the acceleration a change?

There are two balls located in deep space as shown in the figure. The black ball has mass 60kg and the red ball has mass 12kg. The distance between the two balls is r=28cm. (a) Find the magnitude of the acceleration of the red ball, a. m/s2 (b) If r is 4 times larger, with what factor will the acceleration a change? (c) If the mass of the black ball is 25 times larger, with what factor will the acceleration a change? (d) If the mass of the red ball is 40 times larger, with what factor will the acceleration a change?

Explanation / Answer

a) F = G*60*12/0.0784 = 6.125*10^-7 N

b) a depends on masses but not on r

c) a red = F/mr = 25F = 1.53*10^- 5

d ) no change in a of red ball