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 3,5x10^4kg, how much potential energy was converted into thermal energy? 2.3x10^7, 2.6x10^7, 4.3x107, 6.7x10^7

We can conclude 2.3x10^7 J was converted to thermal energy

Explanation:

Energy Conservation

According to the law of conservation of energy, the total energy of an isolated system must be constant. If some kind of energy is 'lost', we know it was transformed into another type.

Let's check the conditions of the problem. The ride vertically drops a distance of 71.6 m starting from rest, and at the bottom of the drop, its speed is 10 m/s. Knowing the mass of the cart plus passengers is 3.5X10^4 kg, we compute the total energy at the top of the drop.

Where E is the total energy (which must be conserved) at the top of the drop, U is the gravitational potential energy and K is the kinetic energy. We use the equations for each:

At the top, the speed is 0, thus

Now we compute the 'total' energy at the bottom (quoted because we know there is some mechanical energy loss in the drop)

This time h'=0 and v=10 m/s, thus

The mechanical energy at the top and the bottom are not the same, thus we can know part of it was converted to heat or thermal energy. We compute the difference

We can conclude 2.3x10^7 J was converted to thermal energy

with the invention of the automobile, the woman of the house could drive to the store and get groceries. women were also free to socialize more. during world war ii women were allowed to work in factories to the war effort and could drive to work or ride mass transit buses to their jobs.

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.