Answer:
The mass of the object is 24.5 kg and weight of the object on Mars is 91.14 N.
Explanation:
Weight of the object on the surface of Earth, W = 245 N
On the surface of Earth, acceleration due to gravity, g = 10 m/s²
Weight of an object is given by :
W = mg
m is mass
[tex]m=\dfrac{W}{g}\\\\m=\dfrac{245\ N}{10\ m/s^2}\\\\=24.5\ kg[/tex]
So, the mass of the object is 24.5 kg
Acceleration due to gravity on Mars, g' = 3.72 m/s²
Weight of the object on Mars,
W' =mg'
W' = 24.5 kg × 3.72 m/s²
= 91.14 N
So, the weight of the object on Mars is 91.14 N.
Given the data in the question;
Weight of object; [tex]W = 245N[/tex]
Weight the measure of the force of gravity pulling down on a particle or object.
It is expressed as:
[tex]W = m* g[/tex]
Where m is mass of the object and g is acceleration due to gravity { Acceleration due gravity of Earth [tex]g_{earth} = 9.8m/s^2[/tex] }
We substitute our values into the equation
[tex]245N = m * 9.8m/s^2\\\\245kg.m/s^2 = m * 9.8m/s^2\\\\m = \frac{245kg.m/s^2}{9.8m/s^2} \\\\m = 25kg[/tex]
Therefore, mass of the object located near the Earth surface is 25kg
So on planet Mars; [tex]g = 3.72m/s^2[/tex], we know that mass of the object is [tex]25kg[/tex]
We substitute into our equation
[tex]W = m* g[/tex]
[tex]W = 25kg * 3.72m/s^2\\\\W = 93kg.m/s^2\\\\W = 93N[/tex]
Therefore, the weight of the object on Mars with the given gravity is 93 Newtons.
Learn more: https://brainly.com/question/23245710
