2. A bag of sugar has a mass of 2.26 kg.
a. What is its weight in newtons on the moon, where the acceleration due to gravity is one-sixth that on Earth?
b. What is its weight on Jupiter, where the acceleration due to gravity is 2.64 times that on Earth?
a. To find the weight of the bag of sugar on the moon, we need to multiply its mass by the acceleration due to gravity on the moon.
Weight = mass * acceleration due to gravity
The acceleration due to gravity on the moon is one-sixth that on Earth, so we divide the acceleration due to gravity on Earth by 6.
Acceleration due to gravity on Earth = 9.8 m/s²
Acceleration due to gravity on the moon = 9.8 m/s² / 6 = 1.6333 m/s²
Weight on the moon = 2.26 kg * 1.6333 m/s² = 3.69 N
Therefore, the weight of the bag of sugar on the moon is 3.69 Newtons.
b. To find the weight of the bag of sugar on Jupiter, we need to multiply its mass by the acceleration due to gravity on Jupiter.
Weight = mass * acceleration due to gravity
The acceleration due to gravity on Jupiter is 2.64 times that on Earth, so we multiply the acceleration due to gravity on Earth by 2.64.
Acceleration due to gravity on Earth = 9.8 m/s²
Acceleration due to gravity on Jupiter = 9.8 m/s² * 2.64 = 25.872 m/s²
Weight on Jupiter = 2.26 kg * 25.872 m/s² = 58.47 N
Therefore, the weight of the bag of sugar on Jupiter is 58.47 Newtons.