Answer:
F₂ = 3.97 F₁
Hence, the force will be increased by a factor of 3.97
Explanation:
The force between the ball and the bowling pin is given by Newton's Gravitational Law, as follows:
F = Gm₁m₂/r²
where,
F = Force
G = Gravitational Constant
m₁ = mass of ball
m₂ = mass of bowling pin
r = distance between ball and bowling pin
So, initially:
F₁ = G(3.6 kg)(1.36 kg)/r²
F₁ = 4.896 G/r²
After increase in masses:
F₂ = G(7.2 kg)(2.7 kg)/r²
F₂ = 19.44 G/r²
F₂/F₁ = (19.44 Gr²)/(4.896 G/r²)
F₂ = 3.97 F₁
Hence, the force will be increased by a factor of 3.97
