Question

You weigh 650 N.

What would you weigh if the Earth were
five times as massive as it is and its radius
were five times its present value?
Answer in units of N.

Answer 1

129.95 N

Step-by-step explanation:

First, you want to find the acceleration due to gravity on this hypothetical planet.

Using the equation
`g = G (M/R^2)` , where G is a constant (
`6.67 * 10^(-11)`), M is mass of the planet, and R is radius of the planet, we can plug in the numbers of earth and then multiply them by whatever the question requires, in this case, 5x.

`g = (6.67 * 10^(-11))(5*(5.97 * 10^(24))) /(5* (6.378 *10^(6)))^(2)`

g = 1.96 m/s. The acceleration due to gravity on this planet is 1.96 m/s.

Now to find your weight.

First, you want to find your mass.

On earth, your weight is equal to your natural force (Fn)

mg = Fn

m(9.8) = 650 ==> mass = 66.33 kg

Now, to find your weight on this hypothetical planet, multiply your mass by the acceleration due to gravity (g)

M x g

66.33 x 1.96 = 129.95 N

You would weigh 129.95 N