Question

find the mass of an object on earth if its weight is 100N
what is the weight of an object on a planet with gravity of 2m/s^2 and mass 4 kg
if an object has mass of 200 g on earth what is its weight
find the force of an object if its mass is 6 kg and its on earth
finf the mass of an object if its force is 150 N and a = 10 m/s^2

Answer 1

Answer:

0.19 kg

8 N

1.964 N

58.86 N

15 kg

Explanation:

w = Weight of an object = 100 N

g = Acceleration due to gravity of Earth = $9.81\ \text{m/s}^2$

m = Mass of an object

Weight is given by

$w=mg\\\Rightarrow m=\dfrac{w}{g}\\\Rightarrow m=\dfrac{100}{9.81}\\\Rightarrow m=10.19\ \text{kg}$

Mass of the object is 0.19 kg

g = $2\ \text{m/s}^2$

m = 4 kg

$w=mg\\\Rightarrow w=4\times 2\\\Rightarrow w=8\ \text{N}$

Weight of the object is 8 N.

m = 200 g

$w=mg\\\Rightarrow w=0.2\times 9.81\\\Rightarrow w=1.964\ \text{N}$

Weight of the object is 1.964 N.

Weight is the force the Earth exerts on an object which is on the surface of the Earth.

m = 6kg

$w=mg\\\Rightarrow w=6\times 9.81\\\Rightarrow w=58.86\ \text{N}$

The force of the object is 58.86 N.

w = 150 N

a = g = $10\ \text{m/s}^2$

$m=\dfrac{w}{g}\\\Rightarrow m=\dfrac{150}{10}\\\Rightarrow m=15\ \text{kg}$

Mass of the object is 15 kg.