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A new ride being built at an amusement park includes a vertical drop of 71.6 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. If the velocity at the bottom of the drop is 10.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg, how much potential energy was converted into thermal energy (heat)?

A. 2.3 x 10^7 J
B. 2.6 x 10^7 J
C. 4.3 x 10^7 J
D. 6.7 x 10^7 J

Respuesta :

lucic

Answer:

B. 2.6 × 10⁷ J

Explanation:

First let's find the gravitation potential energy due to the height

P.E= m×g×h-------------where m is the mass of cart and passengers, g acceleration due to gravity and h is the height of the vertical ride

P.E= 3.5×10⁴ × 9.8 × 71.6 = 24558800 J

Finding the kinetic  due to the final velocity

K.E = 1/2 mv²---------------------where v is velocity that represent how fast the cart was moving before reaching the bottom of the drop

K.E = 1/2 × 3.5×10⁴× 10² = 1750000 J

⇒When the cart starts to ride from rest, the potential energy is converted into kinetic energy which is then converted to thermal energy

Total energy that was converted to heat = 24558800+1750000 = 26308800

=2.6 × 10⁷ J

Answer:

The correct answer is A

Explanation:

I did the test twice and A) 2.3 x 10^7 J was correct.

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