1. If person weighs 176 lbs on earth what is his or her mass on mars where the force of gravity is 37% of that on earth.
With Complete solution
To find the mass of a person on Mars, we can use the equation:
Weight = Mass * Gravity
Given that the person weighs 176 lbs on Earth, we need to convert this weight to mass using the acceleration due to gravity on Earth (32.2 ft/s^2 or 9.8 m/s^2).
1. Convert the weight from pounds to newtons:
The conversion factor is 1 lb = 4.45 N.
So, the weight on Earth (in newtons) is:
176 lb * 4.45 N/lb = 781.2 N
2. Calculate the mass using the equation:
Weight = Mass * Gravity
On Earth: 781.2 N = Mass * 9.8 m/s^2
Solving for Mass:
Mass = 781.2 N / 9.8 m/s^2 = 79.7 kg (approx)
3. Determine the force of gravity on Mars:
The force of gravity on Mars is 37% of that on Earth. So, we can calculate it by multiplying the Earth's gravity by 0.37:
Gravity on Mars = 0.37 * 9.8 m/s^2 = 3.626 m/s^2
4. Calculate the mass on Mars using the equation:
Weight = Mass * Gravity
On Mars: Weight = Mass * 3.626 m/s^2
Solving for Mass on Mars:
Mass on Mars = Weight / Gravity on Mars = 781.2 N / 3.626 m/s^2 = 215.1 kg (approx)
Therefore, the person's mass on Mars, where the force of gravity is 37% of that on Earth, is approximately 215.1 kg.
To find the mass of a person on Mars given their weight on Earth, you need to use the following formula:
Weight = Mass * Gravity
First, convert the weight of the person on Earth from pounds to Newtons, as weight is typically measured in Newtons. To do this, use the conversion factor that 1 lb = 4.44822 N.
Weight on Earth = 176 lbs * 4.44822 N/lb ≈ 781.32 N
Next, calculate the force of gravity on Mars. Since it is given that the force of gravity on Mars is 37% of that on Earth, we can multiply the weight on Earth by 0.37 to find the weight on Mars.
Weight on Mars = 781.32 N * 0.37 ≈ 288.74 N
Now, we can rearrange the formula to solve for mass:
Mass = Weight / Gravity
Plug in the weight on Mars and the force of gravity on Mars:
Mass on Mars = 288.74 N / 3.71 m/s^2 ≈ 77.92 kg
So, the person would have a mass of approximately 77.92 kg on Mars.