The weights of three objects X, Y and Z measured on three celestial bodies are listed in the box. (g on the Moon, Jupiter and Mercury are 1.7 m s-2, 25.4 m s-2 and 3.8 m s-2 respectively) Object X on the Moon is 340 N. Object Y on Jupiter is 6096 N. Object Z on Mercury is 399 N. Which of the following sequences shows X, Y, and Z in ascending order of their masses?
The weights of three objects X, Y and Z measured on three celestial bodies are listed in the box. (g on the Moon, Jupiter and Mercury are 1.7 m s-2, 25.4 m s-2 and 3.8 m s-2 respectively) Object X on the Moon is 340 N. Object Y on Jupiter is 6096 N. Object Z on Mercury is 399 N. Which of the following sequences shows X, Y, and Z in ascending order of their masses? Correct Answer Z, X, Y
CONCEPT:
- The acceleration achieved by any object due to the gravitational force of attraction by any planet is called acceleration due to gravity by the earth
- Weight: The force applied by the earth on anybody having mass is called the weight of that body.
- It is denoted by W.
- Mathematically it is can be written as
⇒ W = mg
Where m = mass of the body and g = acceleration due to gravity
EXPLANATION:
Given - gMoon = 1.7 m s-2, gJ = 25.4 m s-2, gMer = 3.8 m s-2, WMoon = 340 N, WJ = 6096 N and WMer = 399 N
- The weight of the body on the moon can be calculated as
⇒ WMoon = mMoongMoon
⇒ mMoon = WMoon/ gMoon = 340/1.7 = 200 kg ------- (1)
- The weight of the body on the Jupiter can be calculated as
⇒ WJupiter = mJupitergJupiter
⇒ mJupiter = WJupiter/ mJupiter = 6096/25.4 = 240 kg ------- (2)
- The weight of the body on the mercury can be calculated as
⇒ Wmercury = mmercurygmercury
⇒ mmercury = Wmercury/ gmercury = 399/3.8 = 105 kg ------- (3)
- From the above equations, it is clear that the mass of the object is least on mercury and it is maximum on the Jupiter.
- Therefore, the ascending order of their masses is Z, X, Y. Hence option 2 is correct.