Mars=750N the value of g is 38% of that of earth what is the mass of the men on the earth and his weight of mars
To find the mass of a person on Earth and their weight on Mars, we need to follow these steps:
Step 1: Convert the weight on Mars to the equivalent weight on Earth.
Step 2: Use the weight on Earth to calculate the mass of the person.
Step 1: Convert the weight on Mars to the equivalent weight on Earth.
The weight on Mars is given as 750N, and we know that the acceleration due to gravity on Mars is 38% of that on Earth.
1. Calculate the acceleration due to gravity on Mars:
On Mars, g = 38% of Earth's gravity
g_mars = 0.38 * 9.8 m/s^2 [Since the acceleration due to gravity on Earth is approximately 9.8 m/s^2]
g_mars ≈ 3.724 m/s^2
2. Use the formula for weight, W = mass * g, to find the weight on Earth (W_earth):
W_mars = 750N [Given weight on Mars]
g_earth = 9.8 m/s^2 [Acceleration due to gravity on Earth]
W_earth = mass * g_earth
750N = mass * 9.8 m/s^2
Rearranging the equation to solve for the weight on Earth, we have:
mass = W_earth / g_earth
Substitute the known values:
mass = 750N / 9.8 m/s^2
mass ≈ 76.53 kg
Therefore, the mass of the person on Earth is approximately 76.53 kg.
Step 2: Use the weight on Earth to calculate the weight on Mars.
We have already calculated the mass, and now we can find the weight on Mars using the formula W = mass * g:
W_mars = mass * g_mars
W_mars = 76.53 kg * 3.724 m/s^2
W_mars ≈ 285.91 N
Therefore, the weight of the person on Mars is approximately 285.91 N.