1) Sand moves without slipping at 6.0 m/s down a conveyer that is tilted at 15?.
ID: 1406848 • Letter: 1
Question
1) Sand moves without slipping at 6.0 m/s down a conveyer that is tilted at 15?. The sand enters a pipe h= 4.2 m below the
end of the conveyer belt, as shown in the figure
What is the horizontal distance d between the conveyer belt and the pipe?
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2) On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a 6 iron. The free-fall acceleration on the moon is 1/6 of its value on earth. Suppose he hits the ball with a speed of 30 m/s at an angle 40 ? above the horizontal.
How much farther did the ball travel on the moon than it would have on earth?
For how much more time was the ball in flight?
6 m/s 5°Explanation / Answer
Horizontal Velocity = 6 * cos(15) = 5.8 m/s
Horizontal acceleration = 0
Horizontal distance = d
Vertical Velocity = 6 * sin(15) = 1.6 m/s
Vertical acceleration = 9.8 m/s^2
Vertical distance h = 4.2 m
h = u*t + 0.5 * 9.8 * t^2
4.2 = 1.6 * t + 4.9 *t^2
t = 0.78 s
Horizontal distance covered in time t=0.78 s
d = 5.8 m/s * 0.78
d = 4.5 m
horizontal distance d between the conveyer belt and the pipe = 4.5m
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