Use Newton’s Law of Gravity to calculate the force of gravity between a 39 kg person and Earth.
F = M g, where g = 9.8 m/s^2,
or, if you really must use that Newton law,
F =G*Me*M/Re^2
M = 39 kg
G = universal gravity constant
Re = Earth radius
Me = Earth mass
You will have to look up the last three quantities. I have not memorized them.
The answers should agree
Consider a pulse of laser light aimed at the moon that bounces back to earth. The distance between Earth and Moon is 3.8 x 10 (small eight above ) m. Show that the round-trip time for the light is 2.5 s.
To calculate the force of gravity between a person and the Earth using Newton's Law of Gravity, we need to know the mass of the person and the mass of the Earth.
1. The mass of the person is given as 39 kg.
2. The mass of the Earth is approximately 5.972 × 10^24 kg.
Newton's Law of Gravity is given by the equation:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force between the two objects,
G is the gravitational constant,
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
3. The gravitational constant, G, is approximately 6.674 × 10^-11 N·m^2/kg^2.
4. The distance, r, between the person and the Earth is the radius of the Earth, which is approximately 6,371 km (or 6,371,000 meters).
Now, we can substitute the values into the formula and calculate the gravitational force:
F = (6.674 × 10^-11 N·m^2/kg^2) * (39 kg) * (5.972 × 10^24 kg) / (6,371,000 meters)^2
Simplifying the equation, we calculate:
F ≈ 3.92 × 10^23 N
Therefore, the force of gravity between a 39 kg person and the Earth is approximately 3.92 × 10^23 Newtons.