The strength of gravity on the moon is 1.6 N/kg. If an astronaut’s mass is 80 kg, on Earth what would it be on the moon?
since his mass is the same on the moon, then
80 kg * 1.6N/kg = ___ N
Data:
Gravity on moon=1.6 N/kg.
Mass on Earth=80 kg.
Required:
Mass on Moon=??
Formula:
W=mg
Solution:
W=mg
by putting value
W=80×1.6
W=128N
DATA:-
Given:
Gravity on moon: 1.6 N/Kg
Mass on Earth: 80 Kg
Required:
Mass on Moon: ?
FORMULA:-
W = mg
SOLUTION:-
W = 80 × 1.6
W = 128N
RESULT:-
The Mass would it be on Moon = 128N
128 N is the right answer
To find out the astronaut's mass on the moon, we need to use the concept of weight. Weight is the force with which gravity pulls an object towards the center of a celestial body, such as the Earth or the Moon. Weight is given by the equation:
Weight = Mass × Gravity
In this case, we are given the strength of gravity on the moon, which is 1.6 N/kg, and the astronaut's mass on Earth, which is 80 kg.
To find the astronaut's weight on Earth, we can use the equation:
Weight on Earth = Mass × Gravity on Earth
On Earth, the gravity is approximately 9.8 N/kg. So the astronaut's weight on Earth can be calculated as follows:
Weight on Earth = 80 kg × 9.8 N/kg = 784 N
Now, to find the astronaut's mass on the moon, we can rearrange the equation for weight and solve for mass:
Mass = Weight / Gravity
Mass on the Moon = Weight on Earth / Gravity on the Moon
Substituting the values we know, we get:
Mass on the Moon = 784 N / 1.6 N/kg ≈ 490 kg
Therefore, the astronaut's mass on the moon would be approximately 490 kg.