Asteroid toutatis passed near earth in 2006 at four times the distance to our moon. this was the closest approach we will have until 2060. if it has mass of 5.0×1013kg , what force did it exert on earth at its closest approach?

The answer is 8.44*10^9 Newton

Explanation:

The equation for universal gravitation is:

Where:

G= 6.674×10^−11 N · (m/kg)^2

M(earth)=5.972 × 10^24 kg

M(asteroid)=5.0×10^13 kg

r=1.537*10^9 m (Calculated from average distance between moon and earth)

The force will be:

8.44*10^9 Newton

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

i believe the answer is a hope it and is correct