The energies which is converted into thermal energy is
2280.9 × 10^4 J
According to the question when the ride will go upward then there will a potential energy acquired and when it comes down then kinetic energy starts to increase. since, the ride is starting from rest then kinetic energy will be maximum at lowest. So, now we will calculate P.E and K.E at various points.
Potential Energy at top when the vertical drop is 126.5 m is given as- P.E = m ×g× h
= 3.5 × 10^4 × 9.8 × 126.5
= 4338.95 × 10^4 J
Kinetic Energy at bottom when ride has velocity of 10 m/s then it is
given as -
K.E = 1/2 mv²
= 1/2 × 3.5×10^4 × 10²
= 175 × 10^4 J
Now the energy which converted to thermal energy is given as:
Thermal energy = Potential energy - kinetic energy
= 2455.9 × 10^4 - 175 × 10^4
= 2280.9 × 10^4 J
Thus, the ride Potential energy was converted to thermal energy is 2280.9 × 10^4 J.
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