Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

A roller coaster features a near vertical drop of 95 meters. If the initial velocity was zero, the mass of the cart and riders was 1,000 kg, and the velocity at the end of the drop was 35 m/s, how much of the potential energy was converted into thermal energy?319 kJ218 kJ342 kJ276 kJ

Sagot :

Given:

• Vertical drop = 95 meters

,

• Initial velocity = 0 m/s

,

• Mass of cart and riders = 1000 kg

,

• Final velocity = 35 m/s

Let's find the amount of potential energy converted to thermal energy.

For the potential energy, we have:

PE = mgh

Also thermal energy is a form of kinetic energy.

Thus, for the thermal energy, we have:

[tex]KE=\frac{1}{2}mv^2[/tex]

Now, to find the difference, we have:

[tex]\begin{gathered} PE-KE \\ \\ =(\text{mgh)}-(\frac{1}{2}mv^2) \end{gathered}[/tex]

Where:

g is acceleration due to gravity = 9.8 m/s^2

v is the final velocity = 35 m/s

h is the height = 95 meters

m is the mass

Thus, we have:

[tex]\begin{gathered} (1000\times9.8\times95)-(\frac{1}{2}\times1000\times35^2) \\ \\ =931000-612500 \\ \\ =318500\text{ J }\approx319000\text{ }\approx319\text{ kJ} \end{gathered}[/tex]

Therefore, the amount of potential energy converted into thermal energy is 319 kiloJoules.

ANSWER:

319 kJ

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.