a lane in a bowling alley is 20 m long. according to newton\'s theory of gravita

Question

a lane in a bowling alley is 20 m long. according to newton's theory of gravitation, any two objects with mass exert a gravitational force on each other. this means that if we placed a bowling ball and a set of pins 20 m apart way out in space where the gravity from stars and planets wouldn't interfere, the ball and the pins would eventually collide with each other under the influence of their own gravitation. newton's equation of universal gravitation says that the strength of the gravitational force is given by the constant G where G=6.7x10^-11 (m^3/Kgs^2) assume that the mass of the bowling ball (m1) and the total mass of the pins (m2) are both 5.0 Kg and that we initially set them 20 m apart. Estimate the length of time it would take fro the ball and the pins to collide under the influence of their own gravity.

Explanation / Answer

F=G*m1m2/r^2 = 6.7x10^-11 *(5*5)/20^2 F=4.185*e^-12 N

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