Joseph learned about the difference between mass and weight. He wanted to investigate what he would weigh at different locations in our solar system. He used this table to organize data he found about Earth, Venus, and Saturn. He needs to fill out the rest of the table.
Location Earth Venus Jupiter Saturn
Mass (kg) 50
Relative gravity 1 0.9 11 9
compared to Earth
Weight (ibs) 110
Location Earth Venus Jupiter Saturn
Mass (kg) 50 50 50 50
Relative gravity 1 0.9 11 9
compared to Earth
Weight (lbs) 110 99 121 99
Explain how you did your work
I filled out the table by keeping the mass constant at 50 kg for each location in our solar system (Earth, Venus, Jupiter, and Saturn). Then, I used the relative gravity values provided to calculate the weight of the 50 kg mass at each location.
To calculate the weight, I used the formula Weight = Mass x Gravity. For Earth, the weight was given as 110 lbs, so I used the formula to back-calculate the gravity on Earth (110 = 50 x gravity on Earth, gravity on Earth = 110/50 = 2.2).
Then, for Venus, the relative gravity compared to Earth was 0.9, so I used that to calculate the weight on Venus (50 x 0.9 = 45 lbs). Similarly, I calculated the weight on Jupiter (50 x 11 = 550 lbs) and Saturn (50 x 9 = 450 lbs).
Therefore, the completed table shows the mass of 50 kg remains consistent across all locations, while the weight varies based on the relative gravity compared to Earth at each location.
how did you calculate your work for Venus?
To calculate the weight of the 50 kg mass on Venus, we used the formula Weight = Mass x Gravity.
Given that the mass is 50 kg and the relative gravity of Venus compared to Earth is 0.9, we plug these values into the formula:
Weight on Venus = 50 kg x 0.9
Weight on Venus = 45 kg
So, the weight of a 50 kg mass on Venus would be 45 kg.
how did you calculate Jupiter?
To calculate the weight of the 50 kg mass on Jupiter, we used the formula Weight = Mass x Gravity.
Given that the mass is 50 kg and the relative gravity of Jupiter compared to Earth is 11, we plug these values into the formula:
Weight on Jupiter = 50 kg x 11
Weight on Jupiter = 550 kg
So, the weight of a 50 kg mass on Jupiter would be 550 kg.