Question

a student wants to know the gravitational force between a soccer ball and himself. he knows the gravitational constant, g, the mass of the ball, and his own mass.
what else does he need to know?
how tall he is
the distance between them
how high up they are
the mass of the earth

Explanation:

To find the gravitational force between two objects (the student and the soccer ball), we use Newton's law of universal gravitation, which is given by the formula \( F = G\frac{m_1m_2}{r^2} \), where \( F \) is the gravitational force, \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between their centers of mass. The student already knows \( G \), \( m_1 \) (his mass), and \( m_2 \) (the ball's mass). So, the missing quantity is the distance between them (\( r \)). The other options (how tall he is, how high up they are, the mass of the Earth) are not relevant to the gravitational force between the student and the soccer ball.

Answer:

the distance between them