Anew 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

B. 2.6 × 10⁷ J

Explanation:

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

P.E= m×g×hwhere 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 mv²where 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

a.) travels faster in solids because the particles are closer together.

air is a gas water is a liquid

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!