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A roller coaster car is released from rest at point W. Calculate its speed at points X, Y, and Z. Neglect friction.?
2 Answers
- nyphdinmdLv 73 weeks ago
You're going to make use of the conservation of mechanical energy here. Let point W be at height hw, point x at height hx, point Y at height hy, and point Z at hz. Note
hw > hy > hz > hx
Now the total energy the car can have is the potential energy at point W:
E = U(w) = mg(hw)
At point X the car has both kineitic and potential energy that add up to E so
mg(hw) = 1/2 m(vx)^2 + mg(hx) --> vx = sqrt(2*g*(hw -hx))
The same happens for points Y and Z
mg(hy) = 1/2 m(vy)^2 + mg(hy) ---> vy = sqrt(2*g*(hw - hy))
and vz = sqrt(2*g*(hw - hz))