Part of a roller-coaster ride involves coasting down an incline and entering a loop 7.30 m in diameter. For safety considerations, the roller coaster's speed at the top of the loop must be such that the force of the seat on a rider is equal in magnitude to the rider's weight. From what height above the bottom of the loop must the roller coaster descend to satisfy this requirement?  m

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Q: Part of a roller-coaster ride involves coasting down an incline and entering a loop 6.8…

A: mg(h - 2R) = (1/2)mv2andmv2/R - mg = mgsolve for h

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A: Given Mass (m)  = 130 kg Angle θ = 25°

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A: By using free body diagramAccording to Newton's third lawN=mg.Cosθ                  Equation 1

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A: M = 10 kg  Φ = 32 ⁰  μ = 0.1  H = 4 m  sinΦ = H/d  => d = H/SinΦ  => d = 4/Sin(32) = 4/0.529…

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A: The mass of the child: The length of the chains: The tension in each chain at the lowest point:

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”