Here's a question from my homework that I have no idea where to even beging with it.
A European "weighs" 100 kg on Earth.
a. What is his mass on Earth?
b. What is his weight on Earth?
c. What is his mass on the moon where the acceleration due to gravity is 1/6 that of the Earth?
d. What is his weight on the moon?
Since this is not my area of expertise, I searched Google under the key words "mass weight" to get these possible sources:
http://hyperphysics.phy-astr.gsu.edu/hbase/mass.html
http://www.nyu.edu/pages/mathmol/textbook/weightvmass.html
http://ourworld.compuserve.com/homepages/Gene_Nygaard/weight.htm#toc1
http://www.physics.ucla.edu/k-6connection/Mass,w,d.htm
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search.
I hope this helps. Thanks for asking.
I have to put a 12 step dance on a graph and would like an example of a graph.
To solve this question, we need to understand the concepts of mass, weight, and the acceleration due to gravity on Earth and the moon.
a. To find his mass on Earth, we can use the given information, which states that he "weighs" 100 kg on Earth. However, it is important to note that weight is the force exerted on an object due to gravity, and mass is the amount of matter in an object. Since weight depends on the value of gravity, we cannot directly determine his mass from his weight. Therefore, we cannot answer part (a) based solely on the given information.
b. To find his weight on Earth, we can use the formula:
Weight = Mass * Acceleration due to Gravity
Given that he "weighs" 100 kg on Earth, we can conclude that his weight is indeed 100 kg.
c. To find his mass on the moon, where the acceleration due to gravity is 1/6 that of Earth, we need to use the relationship between weight, mass, and acceleration due to gravity. The formula for weight is the same, but gravity on the moon is different.
Let's say his mass on Earth is represented by m. We can calculate his mass on the moon using the formula:
Weight_on_Earth = Mass_on_Moon * Acceleration_due_to_Gravity_on_Moon
Now, since the weight on Earth is m * Acceleration due to Gravity on Earth (100 kg * acceleration due to gravity on Earth), and the weight on the moon is m * Acceleration due to Gravity on the Moon, we can set up the following equation:
100 kg * acceleration due to gravity on Earth = Mass_on_Moon * acceleration due to gravity on the moon
Since acceleration due to gravity on the moon is 1/6 that of Earth's, we can write:
100 kg * acceleration due to gravity on Earth = Mass_on_Moon * (1/6 * acceleration due to gravity on Earth)
To solve for Mass_on_Moon, we can rearrange the equation to isolate it:
Mass_on_Moon = (100 kg * acceleration due to gravity on Earth) / (1/6 * acceleration due to gravity on Earth)
Simplifying further:
Mass_on_Moon = (100 kg * acceleration due to gravity on Earth) * (6/1)
Now, if we know the value of acceleration due to gravity on Earth (approximately 9.8 m/s^2), we can substitute it into the equation and calculate the value of Mass_on_Moon.
d. To find his weight on the moon, we can use the formula:
Weight_on_Moon = Mass_on_Moon * Acceleration_due_to_Gravity_on_Moon
Using the value of Mass_on_Moon obtained from part (c), we can substitute it into the equation along with the value of acceleration due to gravity on the moon and calculate his weight on the moon.