Question
I Help k 3 Begin Date: 9/13/2017 2:30:00 PM- Due Date: 9/22/2017 11:59:00 PM End Date: 9/23/2017 4:00:00 AM a % problem 7: Apollo 1 4 astronaut Alan B. Shepard Jr. used an improvised six-iron to strike two golf balls while on the Fra Mauro region of the moon's surface, making what some consider the longest golf drive in history. Assume one of the golf balls was struck with int al velocity vo-32.5 m/s at an angle = 18 above the horizontal. The gravitational acceleration on the moon's surface is approximately 1/6 that on the earth's surface. Use a Cartesian coordinate system with the origin at the bal's initial position Randomized Variables vO 32.5 m/s = 18 degrees 50% Part (a) 50% Part b what horizontal distance, R in meters, did this golf ball travel before returning to the lunar surface? what is the numeric value of the ratio, of the horizontal distance traveled on the mioon to the horizontal distance the ball would travel on Earth's surface under the same conditions? Potential cos0 sinO cotanO asin acos (5% per attempt) detailed view coshO tanh0 cotanh0 Degrees Radians give up! Submit Hint Feedback: 2% deduction per feedback. Hints: 5 deduction per hint. Hints remaining 2
Explanation / Answer
here,
horizontal range of projectile , R = u^2*sin(2*theta)/g
gravity on moon , g' = g/6
the ratio of the horizontal range on moon to that on earth , r = (u^2*sin(2*theta)/g')/(u^2*sin(2*theta)/g)
r = (6 * u^2*sin(2*theta)/g)/(u^2*sin(2*theta)/g)
r = 6
the ratio is 6:1
