# Projectile Problem: Find Moon Gravity from 30m & 180m Hits

• lewenberg
In summary, the conversation discusses the difference in distance a golf ball is hit on the moon compared to Earth, assuming all other factors are the same. The homework problem involves finding the gravity of the moon based on this information and involves projectile motion calculations. Further questions are raised about the duration and horizontal distance of the projectile's flight.
lewenberg

## Homework Statement

you hit a golf ball 180m on the moon, but on Earth you only hit it 30m. Assuming that everything is the same (swing, launch angle, etc..) find the gravity of the moon.

## Homework Equations

a = -g (on earth)
Xe = 30m
Xm = 180m

## The Attempt at a Solution

I really don't know where to tackle this problem from. I need assistance.

It is projectile motion, the same magnitude and angle of initial velocity, only the value of g is different. How long is the projectile above ground? What is the horizontal distance the projectile travels during this time?

ehild

## 1. How do you find the moon's gravity from 30m and 180m hits?

To find the moon's gravity from 30m and 180m hits, you will need to use the formula G = 2d/t^2, where G is the moon's gravity, d is the distance traveled, and t is the time it takes for the projectile to reach each distance. This will give you the acceleration due to gravity, which can then be converted to the moon's gravity using the formula g = a/r^2, where g is the moon's gravity, a is the acceleration due to gravity, and r is the radius of the moon.

## 2. What is the significance of using 30m and 180m hits?

The significance of using 30m and 180m hits is that they represent two different distances from the point of launch. By measuring the time it takes for the projectile to reach each distance, we can calculate the acceleration due to gravity at those specific distances and use that information to determine the moon's gravity.

## 3. Why is it important to find the moon's gravity?

Finding the moon's gravity is important for several reasons. It can help us understand the moon's composition and structure, as well as its relationship with other celestial bodies. It also has practical applications, such as aiding in spacecraft navigation and landing on the moon.

## 4. How does the moon's gravity compare to Earth's gravity?

The moon's gravity is much weaker than Earth's gravity. On average, the moon's gravity is about 1/6th of Earth's gravity. This is due to the moon's smaller mass and size compared to Earth.

## 5. Are there any other factors that could affect the results of this experiment?

Yes, there are several factors that could affect the results of this experiment. These include air resistance, the initial velocity of the projectile, and the precision of the measurement tools used. It is important to take these factors into consideration and make necessary adjustments to ensure accurate results.

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