Answer:
9508.1kg
Explanation:
Given parameters:
Gravitational force = 6.7 x 10⁻⁴N
Distance of separation = 3m
Unknown:
Mass of one of the truck = ?
Solution:
Let the mass of one of the truck be = m
According to the Newton's law of universal gravitation:
Fg = [tex]\frac{G m1 m2}{d^{2} }[/tex]
G is the universal gravitation constant = 6.67 x 10⁻¹¹
m1 and m2 are the masses of the two bodies, here m1 = m2 = m
d is the distance of separation between them
6.7 x 10⁻⁴ = [tex]\frac{6.67 x 10^{-11} x m^{2} }{3^{2} }[/tex]
6.67 x 10⁻¹¹m² = 9 x 6.7 x 10⁻⁴
m = 9508.1kg
The mass of one of the trucks is 9510 kg.
The problem above can be solved using the mathematical expression of newton's law of universal gravitation
Using Newton's law of universal gravitation,
F = Gm²/r²................... Equation 1
Where F = Gravitational force on the truck, m = mass of each truck, r = distance between the trucks, G = universal constant
make m the subject of the equation
m = √(Fr²/G)................ Equation 2
From the question,
Given: F = 6.7×10⁻⁴ N, r = 3.0 m.
Constant: G = 6.67×10⁻¹¹ Nm²/kg²
Substitute these values into equation 2
m = √[(6.7×10⁻⁴×3²)/(6.67×10⁻¹¹)]
m = √(9.04×10⁷)
m = 9.51×10³ kg.
m = 9510 kg
Hence, The mass of one of the trucks is 9510 kg
Learn more about Newtons law of universal gravitation here: https://brainly.com/question/9373839
