Final answer:
To find the mass of one truck, use the gravitational force equation, F = G * (m1 * m2) / r^2, and rearrange it to solve for the mass. With the provided force, distance, and gravitational constant, calculate m = sqrt(F * r^2 / G) and match the result to the given options.
Step-by-step explanation:
The student has asked about calculating the mass of one of the trucks using the given gravitational force between them and the distance separating them. To solve this, we use the formula for the gravitational force between two masses, given by F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two trucks, and r is the distance between their centers of mass.
Given the gravitational force of 6.7 * 10^-4 N, the distance of 3.0 m, and the gravitational constant G = 6.674 * 10^-11 Nm^2/kg^2, we rearrange the formula to solve for one truck's mass (assuming both trucks have equal mass m):
m = sqrt(F * r^2 / G) = sqrt((6.7 * 10^-4 N * (3.0 m)^2) / (6.674 * 10^-11 Nm^2/kg^2))
By calculating the above expression, we would find the mass of one truck. Since the question provides options for the mass, we perform the calculation and match the result to the closest option provided.