Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Answer:
The person can jump 48 m on the Moon
Explanation:
The question parameters are;
The maximum long jump distance of a person on Earth, [tex]R_{max}[/tex] = 3 m
The acceleration due to gravity on the Moon = 1 ÷ 16 of that on Earth
The distance the person can jump on the Moon is given as follows;
A person performing a jump across an horizontal distance on Earth (under gravitational force) follows the path of the motion of a projectile
The horizontal range, [tex]R_{max}[/tex], of a projectile motion is found by using the following formula
[tex]R_{max} = \dfrac{u^2}{g}[/tex]
Where;
g = The acceleration due to gravity = 9.8 m/s²
Therefore, we have;
[tex]R_{max} = 3 \, m = \dfrac{u^2}{9.8 \, m/s^2 }[/tex]
u² = 3 m × 9.8 m/s² = 29.4 m²/s²
Therefore, on the Moon, we have;
The acceleration due to gravity on the Moon, [tex]g_{Moon}[/tex] = 1/16 × g
∴ [tex]g_{Moon}[/tex] = 1/16 × g = 1/16 × 9.8 m/s² ≈ 0.6125 m/s²
[tex]R_{max \ Moon} = \dfrac{u^2}{g_{Moon}} = \dfrac{29.4 \ m^2/s^2}{0.6125 \, m/s^2 } \approx 48 \, m[/tex]
The maximum distance the person can jump on the Moon with the same velocity which was used on Earth is [tex]R_{max \ Moon}[/tex] ≈ 48 m
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
