A roller-coaster car shown in the figure below is pulled up to point 1 where it is released from rest. Take y = 39 m .
(Figure 1)
Assuming no friction, calculate the speed at point 2.
Express your answer to two significant figures and include the appropriate units.
Calculate the speed at point 3.
Express your answer to two significant figures and include the appropriate units.
Calculate the speed at point 4.
Express your answer to two significant figures and include the appropriate units.

A rollercoaster car shown in the figure below is pulled up to point 1 where it is released from rest Take y 39 m Figure 1 Assuming no friction calculate the spe class=

Respuesta :

The speed of the roller coaster at point 2 is 28 m/s, at point 3 is 16 m/s and at point 4 is 22 m/s.

Speed of the roller coaster

The speed of the roller coaster at any position is calculated by applying the principle of conservation of energy.

K.E = P.E

¹/₂mv² = mgh

v = √2gh

where;

  • h is vertical displacement

Speed at point 2

v(2) = √[(2 x 9.8)(39 - 0)]

v(2) = 28 m/s

Speed at point 3

v(3) = √[(2 x 9.8)(39 -  26)]

v(3) = 16 m/s

Speed at point 4

v(4) = √[(2 x 9.8)(39 - 14)]

v(4) = 22 m/s

Thus, the speed of the roller coaster at point 2 is 28 m/s, at point 3 is 16 m/s and at point 4 is 22 m/s.

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