Consider the diagram representing a portion of an amusement park ride. Y axis Is
ID: 1536390 • Letter: C
Question
Consider the diagram representing a portion of an amusement park ride. Y axis Is the height above ground in meters A 100 kg tar has 30,000 J of potential energy at point A It moves slow a frictionless track and comes to a stop as it compress a huge spring at point D a huge song at point D. On the diagram below, sketch the energy bar graphs when the car is at the indicated points How much kinetic energy does the car haw at point C? Explain or calculate. How fist is car moving at point B? Explain or calculate. How much classic potential energy does the ear have at point D? Explain or calculate.Explanation / Answer
m = 100 kg
Va = 30000 J
(2)
At point C, Vc = 0
Using Energy consevation,
Kinetic Energy at Point C = Initial Potential Energy
Kinetic Energy at Point C = 30000 J
(3)
Let the speed of car at point B, = vb
Potential energy of car at point B, = m*g*h = 100 * 10 * 10 = 10000 J
Using Energy conservation,
Kinetic Energy + Potential Energy = 30000
1/2*m*vb^2 + 10000 = 30000
1/2*100*vb^2 = 20000
vb = 20 m/s
(4)
Again using Energy conservation,
As the car comes to stop, it loses all it's kinetic energy to elastic potential energy.
Elastic potential energy at point D = 20000 J