Question

Apollo astronauts took a "nine iron" to the Moon and hit a golf ball about 180 m.

Answer 1

So in calculating this one its is really hard to explain how i get it on solve it but you must consider this factors that i give in getting the answer. First is the distance cover by the ball when it is hit by the club, Second is you must estimate both of those data when it is in the moon and in the earth whre the gravity of the earth is 9.8m/s^2 so by calculating the Gravity of the moon or gMoon is equal 1.74m/s^2

Answer 2

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.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

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:

$d_{moon} = 180 ~ m$

$d_{earth} = 32 ~ m$

$g_{earth} = 9.8 ~ m/s^2$

Unknown:

$g_{moon} =$ ?

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.

$\large {\boxed {d = \frac{u^2 \sin 2 \theta}{g}} }$

Let's use this formula to find a comparison of the motion of golf ball on earth and on the moon.

$d_{moon} : d_{earth} = \frac{u^2 \sin 2 \theta}{g_{moon}}} : \frac{u^2 \sin 2 \theta}{g_{earth}}}$

$d_{moon} : d_{earth} = \frac{1}{g_{moon}}} : \frac{1}{g_{earth}}}$

$d_{moon} : d_{earth} = g_{earth} : g_{moon}$

$180 : 32 = 9.8 : g_{moon}$

$g_{moon} = (32 \times 9.8) \div 180$

$\large {\boxed {g_{moon} = 1.7 ~ m/s^2} }$

Learn more

• Velocity of Runner : brainly.com/question/3813437

• Kinetic Energy : brainly.com/question/692781

• Acceleration : brainly.com/question/2283922

• The Speed of Car : 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