Ramp Large
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Threshold Edge Wheelchair Ramp/Scooter Ramp NEW- Large - FREE SHIPPING |  |
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Ramp Large
Work and energy: truck and ramp?
Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway trucks that have lost their brakes. The combination of a slight upward slope and a large coefficient of friction in the gravel brings the truck safely to a halt. Suppose a gravel ramp slopes upward at 5.0° and the coefficient of friction is 0.48. Use work and energy to find the length of a ramp that will stop a 17,000 kg truck that enters the ramp at 35 m/s (75 mph).
I tried using the 1/2mv^2 + f(dx) = 1/2m(vcos(theta))^2 + mgh and I seem to be getting about 717 meters, which is wrong. I think I am finding dx wrong. How do you calculate dx? Is the equation right in the first place?
Thanks!
I would use conservation of energy.
x is the distance traveled on the ramp
the forces at work are:
Gravity. The potential energy will be
sin(5)*m*g*x
Friction:
.48*cos(5)*m*g*x
Since there are no brakes all of the kinetic energy will be lost to friction and the potential energy gain:
.5*m*v^2=
.48*cos(5)*m*g*x+sin(5)*m*g*x
note that m divides out
I get 110 m
j
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Threshold Edge Wheelchair Ramp/Scooter Ramp NEW- Large - FREE SHIPPING | |
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US $105.00 | 28d 19h 37m |
|
EZ Edge Threshold Ramp - Large | |
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US $284.92 | 13d 20h 23m |
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EZ Edge Rubber Threshold Ramp, Scooter & Powerchair | |
|
US $288.91 | 13d 16h 22m |
|
EZ Edge Rubber Ramp | Threshold Ramp | |
|
US $265.00 | 2d 13h 41m |
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The Great Pyramid: The Grand Gallery (Large internal ramp)
What is the speed at which the belt of the ramp is moving?
A speed ramp at an airport is basically a large conveyor belt on which you can stand and be moved along. The belt of one speed ramp moves at a constant speed such that a person who stands still on it leaves the ramp 61 s after getting on. Clifford is in a real hurry, however, and skips the ramp. Starting from rest with an acceleration of 0.34 m/s2, he covers the same distance as the ramp does, but in one-fourth the time. What is the speed at which the belt of the ramp is moving?
1/4 of 61sec = 15.25
v = 0.34 (15.25)
v = 5.185 m/sec
devide by four
ramp velocity = 1.29 m/sec
