Question

(a) What is the magnitude of the force of gravity between Earth and Jupiter (take mass of Earth
ME = 6.00 1024 kg,
mass of Jupiter
MJ = 1.90 1027 kg,
and the distance between their centres
REJ = 5.89 108 m)?


(b) At what point between Earth and Jupiter is the net force of gravity on a body by both Earth and Jupiter exactly zero?

Answer 1

Answer to Question #54151 – Physics – Mechanics – Kinematics – Dynamics

Question

(a) What is the magnitude of the force of gravity between Earth and Jupiter (take mass of Earth ME = 6.00 1024 kg, mass of Jupiter MJ = 1.90 1027 kg, and the distance between their centres REJ = 5.89 108 m)?

(b) At what point between Earth and Jupiter is the net force of gravity on a body by both Earth and Jupiter exactly zero?

Answer

a) $F_{grav} = \frac{m_1 \cdot m_2}{d^2} = \frac{6001024 \cdot 1901027}{589108^2} = 32.87$;

b) The point is, where the distance satisfy the equation:

$$\frac{M_E}{(d \cdot x)^2} = \frac{M_J}{x^2} \Rightarrow x = 212160 \, m;$$

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