A student is calculating the gravitational force between the Earth and the sun. She knows that mass of the Earth is 5.972 x 1024

kg, the mass of the sun is 1.989 x 1030
kg, and the distance between the Earth and the sun is 1.496 x 1012
meters. What piece of information is she missing to be able to find the gravitational force?(1 point)
Responses

how long it takes for the Earth to revolve around the sun
how long it takes for the Earth to revolve around the sun

how much heavier the sun is compared to the Earth
how much heavier the sun is compared to the Earth

the gravitational constant, G
the gravitational constant, cap g

the direction of the force between the Earth and the sun

3 answers

The student is missing the gravitational constant, G. To calculate the gravitational force between two masses, you would use Newton's law of universal gravitation, which requires the values of the masses involved and the gravitational constant. The formula is:

\[ F = G \frac{m_1 m_2}{r^2} \]

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.

A student is calculating the gravitational force between the Earth and the sun. She knows that mass of the Earth is 5.972 x 1024
kg, the mass of the sun is 1.989 x 1030
kg, and the distance between the Earth and the sun is 1.496 x 1012
meters. What piece of information is she missing to be able to find the gravitational force?(1 point)
Responses

how long it takes for the Earth to revolve around the sun
how long it takes for the Earth to revolve around the sun

how much heavier the sun is compared to the Earth
how much heavier the sun is compared to the Earth

the gravitational constant, G
the gravitational constant, cap g

the direction of the force between the Earth and the sun
the direction of the force between the Earth and the sun

The student is missing the gravitational constant, G. To calculate the gravitational force between the Earth and the Sun, she needs this constant as part of the equation for gravitational force, which is given by:

\[ F = G \frac{m_1 m_2}{r^2} \]

where \( m_1 \) and \( m_2 \) are the masses of the Earth and the Sun, and \( r \) is the distance between them. The gravitational constant \( G \) is essential for determining the force.