Find the force a 67.5 kg man would experience while standing in the surface of each of the following planets
PLANET
1. EARTH
2. MARS
3. PLUTO
Mass
for earth 5.98 x 10^24 kg
for mars 6.34 x 10 ^23 kg
for pluto 5 x 10^23 kg
distance
distance for planet 6.337 x 10^6 m
distance for mars 3.43 x 10^6 m
distance for pluto 4 x 10^5 m
for earth for example
F = G M1 M2 /r^2
= (6.67*10^-11)(5.98*10^24)(67.5)/ (6.38*10^6 )^2
= 66.14 * 10^ 1 = 661 Newtons
that better be pretty close to m g
or
67.5*9.81 = 662 Newtons
F = G M1 M2 / d^2
where G = 6.67*10-11 N m^2/kg^2
I think you mean radius for distance
radius of earth = 6.38*10^6 meters
FOR MARS PLEASE
can u teach me how to solve damon?
how become 6.38*10^6? given is 6.337 x10^6?
Because I believe that is the correct value for radius of the earth.
To find the force a man would experience while standing on the surface of each planet, we can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
where:
F is the force of gravity
G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2)
m1 is the mass of the man
m2 is the mass of the planet
r is the distance from the center of the planet to the man's location
1. EARTH:
a. Calculate the gravitational force on Earth:
F = (G * m1 * m2) / r^2
= (6.67 x 10^-11 Nm^2/kg^2) * (67.5 kg) * (5.98 x 10^24 kg) / (6.337 x 10^6 m)^2
b. Solve for F using a calculator. The force experienced by the man on Earth will be in Newtons (N).
2. MARS:
a. Calculate the gravitational force on Mars:
F = (G * m1 * m2) / r^2
= (6.67 x 10^-11 Nm^2/kg^2) * (67.5 kg) * (6.34 x 10^23 kg) / (3.43 x 10^6 m)^2
b. Solve for F using a calculator. The force experienced by the man on Mars will be in Newtons (N).
3. PLUTO:
a. Calculate the gravitational force on Pluto:
F = (G * m1 * m2) / r^2
= (6.67 x 10^-11 Nm^2/kg^2) * (67.5 kg) * (5 x 10^23 kg) / (4 x 10^5 m)^2
b. Solve for F using a calculator. The force experienced by the man on Pluto will be in Newtons (N).
Note: The distances given are from the center of the planets to the man's location. If you have the radius of the planets, you can subtract the radius from the distance to get the actual value for r.