Question

If a person weighs 717 N on earth and 5320 N on the surface due to gravity on that planet? of a nearby planet, what is the acceleration

a. 83.6

b. 72.7

c. 63.2

d. 53.1

Answer 1

The answer is B. You divide 717 by the acceleration by gravity of earth (9.8 m/s) and divide 5320 by your answer.

Answer 2

`g'=72.7\ m/s^2`

Step-by-step explanation:

It is given that,

Weight of the person on Earth, W = 717 N

Weight of a person is given by the following formula as :

`W=mg`

g is the acceleration due to gravity on earth

`m=(W)/(g)`

`m=(717\ N)/(9.81\ m/s^2)`

m = 73.08 kg

The mass of an object is the amount of matter contained in it. It is same everywhere.

Let W' is the weight of the person on the surface of a nearby planet, W' = 5320 N

g' is the acceleration due to gravity on that planet. So,

`g'=(W')/(m)`

`g'=(5320\ N)/(73.08\ kg)`

`g'=72.79\ m/s^2`

or

`g'=72.7\ m/s^2`

So, the acceleration due to gravity on that planet is
`72.79\ m/s^2`. So, the correct option is (b). Hence, this is the required solution.