Question

The mass of the coaster car shown below is 250 kg. Point 1 is 100.0 m above the ground.Point 3 is 55 m above the ground. The speed at point 3 is 27.0 m/s. Calculate the total mechanical energy of the system.

Answer 1

471262.5 J

Step-by-step explanation:

Total energy=Kinetic energy+ potential energy

Kinetic energy at point 3=
`0.5mv^(2)` where m is the mass and v is the speed

KE at point 3=
`0.5*250*27^(2)=91125 J`

Potential energy at point 1 and 2= mgh where g is acceleration due to gravity and h is the height

PE=mg(h1+h2)=250*9.81*(100+55)=380137.5 J

Total energy= 91125+380137.5=471262.5 J