Question
A roller coaster of mass 1000.0 kg passes point A with a speed of 1.80 m/s?
point a= 30m
point b= 0m
point c= 25m
point d= 12m
1. What is the total mechanical energy of the roller coaster at point A?
2. What is the speed of the roller coaster at point B?
3. What is the potential energy and the kinetic energy of the roller coaster at point C?
4. Derive an expression for the speed of the cart using the variables E, m, g, and h.
5. Determine the speed of the roller coaster at D.
point a= 30m
point b= 0m
point c= 25m
point d= 12m
1. What is the total mechanical energy of the roller coaster at point A?
2. What is the speed of the roller coaster at point B?
3. What is the potential energy and the kinetic energy of the roller coaster at point C?
4. Derive an expression for the speed of the cart using the variables E, m, g, and h.
5. Determine the speed of the roller coaster at D.
Answers
reference potential energy to ground
U = m g h
Ke = (1/2) m v^2
1
E = U + Ke = 1000*9.8*30 + 500 (1.8)^2
2
E = 0 + Ke
so (1/2) m (Vat B)^2 = E from 1 above
3
same old E from part 1
E = 1000*9.8*25 + Ke at C
4
(1/2) m v^2 = E - m g h
5
(1/2) m v^2 = E - m g h
U = m g h
Ke = (1/2) m v^2
1
E = U + Ke = 1000*9.8*30 + 500 (1.8)^2
2
E = 0 + Ke
so (1/2) m (Vat B)^2 = E from 1 above
3
same old E from part 1
E = 1000*9.8*25 + Ke at C
4
(1/2) m v^2 = E - m g h
5
(1/2) m v^2 = E - m g h
is damon answer right??
Related Questions
Consider a roller coaster as it travels near the bottom of its track as sketched in the figure below...
Steel Phantom is a roller coaster in Pennsylvania that, like the Desperado in Nevada, has a vertical...
The Millennium Force is the highest roller coaster in North America. It reached a maximum height to...
Roller coaster A can reach a top speed of 110 feet per second. Roller coaster B can reach a top spee...