Problemas
The gravitational force between two objects is 100 N. If the mass of each object is doubled.what is the gravitational force between the objects at the same distance? 25 N 50 N 200 N 400 N
Roztwór
Lorena
maestro · Tutor durante 5 años
4.7
(178 Votos)
Respuesta
The gravitational force between the objects at the same distance when the mass of each object is doubled is 400 N.
Explicación
## Step 1The gravitational force between two objects is given by the formula:###
where
is the gravitational force,
is the gravitational constant,
and
are the masses of the two objects, and
is the distance between the two objects.## Step 2According to the problem, the mass of each object is doubled. This means that the new masses of the two objects are
and
.## Step 3Substitute the new masses into the formula to find the new gravitational force:###
## Step 4The original gravitational force
is given as 100 N. Therefore, the new gravitational force
is 4 times the original force, which is
.