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Part A A roller-coaster car shown in the figure below is pulled up to point 1 wh

ID: 1793131 • Letter: P

Question

Part A A roller-coaster car shown in the figure below is pulled up to point 1 where it is released from rest. Take y 38 m Eigure 1) Assuming no friction, caloulate the speed at point 2 Express your answer to two significant figures and include the appropriate units Value Units Submit My Answers Give Up Part B Calculate the speed at point 3 Express your answer to two significant figures and include the appropriate units Value Units Submit My Answers Give Up Figure 1 of 1 Part C Calculate the speed at point 4 Express your answer to two significant figures and include the appropriate units 26m "4 “ 1 Value Units 4m Submit My Answers Give Up

Explanation / Answer

Use lawofconservation of energy

MEf=MEi

KEf + PEf= KEi+PEi

KEf-KEi =PEi-PEf

½*m*(vf^2-vi^2)=mg*(hi-hf)

½*(vf^2-vi^2)=g*(hi-hf) ----------------(1)

A)

Here vi=0m/s,hi=38m,hf=0m

Plugging values in eqn(1),

½*(vf^2-0^2) = 9.8*(38-0)

vf=28.0m/s

B)

Here vi=0m/s,hi=38m,hf=26m

Plugging values in eqn(1),

½*(vf^2-0^2) = 9.8*(38-26)

vf=15.0m/s

C)

Here vi=0m/s,hi=38m,hf=14m

Plugging values in eqn(1),

½*(vf^2-0^2) = 9.8*(38-14)

vf=22.0m/s

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