The weight of an object on the moon varies directly as the weight of the object on Earth.A 90-pound object on Earth weights 15 pounds on the moon.if an object weights 156 pounds on Earth, how much does it weights on the moon?
A.23 pounds
B.26 pounds
C.28 pounds
D.936 pounds
....and you should know that gravitational acceleration on the moon is about 1/6 that on the earth surface. Therefore earth weight = 6 times moon weight for the same mass.
To solve this problem, we need to use the concept of direct variation. Direct variation means that two variables are related by a constant ratio. In this case, the weight on the moon is directly proportional to the weight on Earth.
Let's set up a proportion to solve for the weight on the moon:
Weight on Earth / Weight on Moon = Constant ratio
We're given that a 90-pound object on Earth weighs 15 pounds on the moon. So we can set up the following proportion:
90 (Weight on Earth) / 15 (Weight on Moon) = Constant ratio
To find the constant ratio, we can divide both sides of the equation by 15:
90 / 15 = Constant ratio
The constant ratio is 6.
Now, we can use this constant ratio to find the weight of an object on the moon when it weighs 156 pounds on Earth.
Weight on Earth / Weight on Moon = Constant ratio
156 (Weight on Earth) / X (Weight on Moon) = 6 (Constant ratio)
To solve for X, we can cross multiply:
156 * 6 = X
X = 936
Therefore, the weight of the object on the moon is 936 pounds.
So the answer is D. 936 pounds.
Let's use a proportion.
90/15 = 156/x
Cross multiply and solve for x.