(a) Calculate the gravitational force exerted on a 3.00 kg baby by a 90 kg father 0.150 m away at bi

tuehanhyd8ml

tuehanhyd8ml

Answered question

2022-05-07

(a) Calculate the gravitational force exerted on a 3.00 kg baby by a 90 kg father 0.150 m away at birth (assisting so he is close).
(b) Calculate the force on the baby due to Jupiter if it is at its closest to the earth, some 6.29 × 10 11 m away, showing it to be comparable to that of the father. The mass of Jupiter is about 1.90 × 10 27   k g. Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.)

Answer & Explanation

exorteygrdh

exorteygrdh

Beginner2022-05-08Added 16 answers

Step 1
a)
the gravitational force is,
F = G M m r 2
Step 2
F = ( 6.673 × 10 11 N m 2 / k g 2 ) ( 90   k g ) ( 3.00   k g ) ( 0.150 m ) 2 = 8.01 × 10 7 N
Step 3
b)
recall the gravitational force equation and substitute the given values,
F = ( 6.673 × 10 11 N m 2 / k g 2 ) ( 1.90 × 10 27   k g ) ( 3.00   k g ) ( 6.29 × 10 11 m ) 2 = 9.61 × 10 7 N

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