The acceleration due to gravity on the surface of the Moon is 1.7 m/s²
Further explanation
Acceleration is rate of change of velocity.
[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]
[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]
a = acceleration (m / s²)v = final velocity (m / s)
u = initial velocity (m / s)
t = time taken (s)
d = distance (m)
Let us now tackle the problem!
Given:
[tex]d_{moon} = 180 ~ m[/tex]
[tex]d_{earth} = 32 ~ m[/tex]
[tex]g_{earth} = 9.8 ~ m/s^2[/tex]
Unknown:
[tex]g_{moon} =[/tex] ?
Solution:
The motion of the golf ball is a parabolic motion, then we can use the following formula to calculate the horizontal displacement of the ball.
[tex]\large {\boxed {d = \frac{u^2 \sin 2 \theta}{g}} }[/tex]
Let's use this formula to find a comparison of the motion of golf ball on earth and on the moon.
[tex]d_{moon} : d_{earth} = \frac{u^2 \sin 2 \theta}{g_{moon}}} : \frac{u^2 \sin 2 \theta}{g_{earth}}}[/tex]
[tex]d_{moon} : d_{earth} = \frac{1}{g_{moon}}} : \frac{1}{g_{earth}}}[/tex]
[tex]d_{moon} : d_{earth} = g_{earth} : g_{moon}[/tex]
[tex]180 : 32 = 9.8 : g_{moon}[/tex]
[tex]g_{moon} = (32 \times 9.8) \div 180[/tex]
[tex]\large {\boxed {g_{moon} = 1.7 ~ m/s^2} }[/tex]
Learn more
- Velocity of Runner : https://brainly.com/question/3813437
- Kinetic Energy : https://brainly.com/question/692781
- Acceleration : https://brainly.com/question/2283922
- The Speed of Car : https://brainly.com/question/568302
Answer details
Grade: High School
Subject: Physics
Chapter: Kinematics
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Sperm , Whale , Travel
