Answer :
Final answer:
To find out the distance at which a 69.8 kg mass experiences a net force of zero between a 235 kg mass and a 536 kg mass, we use Newton's Law of Gravitation and equate the two forces. Upon solving we obtain a positive and a negative solution, since the negative is not physically viable, we consider only the positive solution as the required distance.
Explanation:
The question asked about the point where a 69.8 kg mass will experience a net force of zero between two other masses (235 kg and 536 kg). To find this, we'll equate the two separate gravitational attractions. This involves the equation for Newton's law of gravitation: F = G*m1*m2/r^2. Therefore, we have:
69.799*G*(1/r1^2) = 69.8*G*(1/r2^2), where r1 is the distance from the 69.8 kg mass to the 536 kg mass and r2 is the distance from the 69.8 kg mass to the 235 kg mass.
Solving the above equation for r2 gives two possible values for r1, one of which is negative and is physically impossible in this context. Thus, the positive r1 is the required answer.
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