Final answer:
The gravitational force between the two lead spheres is calculated using Newton's law of universal gravitation and is found to be approximately 1.2009 × 10−9 Newtons, using the provided mass and distance values along with the universal gravitational constant G.
Step-by-step explanation:
The student has asked for the calculation of the gravitational force between two lead spheres using the universal gravitational constant G. To calculate this force, we use Newton's law of universal gravitation, which is given by the equation F = G(m1)(m2)/r^2, where F is the gravitational force, m1 and m2 are the masses of the two objects, r is the distance between the centers of the two masses, and G is the universal gravitational constant.
The student has asked for the calculation of the gravitational force between two lead spheres using the universal gravitational constant G. To calculate this force, we use Newton's law of universal gravitation, which is given by the equation F = G(m1)(m2)/r^2, where F is the gravitational force, m1 and m2 are the masses of the two objects, r is the distance between the centers of the two masses, and G is the universal gravitational constant.
Given that G = 6.67259 × 10−11 N · m2/kg2, m1 = 1.56 kg, m2 = 21.1 g (which is 0.0211 kg) and r = 5.34 cm (which is 0.0534 m), we can plug these values into the equation to calculate the force:
F = (6.67259 × 10−11) × (1.56) × (0.0211) / (0.0534)^2
F = 1.2009 × 10−9 Newtons
Thus, the gravitational force between the two lead spheres is approximately 1.2009 × 10−9 Newtons.