Question

A huge spring launched a cart with passengers into a roller-coaster with a circular loop, which has a radius of 8.00 meters. The whole roller-coaster is frictionless. At the top of a circular loop, the cart is moving with a speed of 10.0 m/s. The total mass of the cart with the passengers is 450 kg. a. [5] With that speed, does the cart stay in contact with the roller-coaster at the top of the loop? b. [2] At the top of the loop, do the passengers feel weightless, lighter, heavier or the same as if they were on the ground? Justify. c. [5] If the cart was released from rest by compressing the spring by 6.00 meters, what is the spring constant? [Ww

Answer 1

6) of the loop, Normal force = mlv g) 4 50 (60) - 9.8) 12 IS N Since Normal force is positive, i. yes it stays in contact with the the passengers feel lighter than on grounds. As, Normal force at top is less that the normal force at bottom of loop. ller coaster. tay were c) Using conservation of energy Imret nigh 2 ĮK(A2)? K (6)? Li 50 f10 + 9.8(248) - 18k= 93060 -) K = 5170 Nlm (Spring Constant)

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