A car is accelerated from velocity v1 to v2 in the time period of t . The mass of the car is m. The inclined angle of the hill is α. The distance travelled along the hill is L. The vertical distance travelled is H.If v1= 2 m/s, v2 = 30 m/s, t = 5 s, m= 1000 kg, α = 30 °, L = 50 m, calculate the extra power , =_____W **Description of the Problem:**A car is accelerated from velocity $ v_1 $ to $ v_2 $ in the time period of $ t $. The mass of the car is $ m $. The inclined angle of the hill is $ \alpha $. The distance travelled along the hill is $ L $. The vertical distance travelled is $ H $.**Given Values:**- Initial velocity, $ v_1 = 2 \, \text{m/s} $- Final velocity, $ v_2 = 30 \, \text{m/s} $- Time, $ t = 5 \, \text{s} $- Mass, $ m = 1000 \, \text{kg} $- Incline angle, $ \alpha = 30^\circ $- Distance along the hill, $ L = 50 \, \text{m} $Calculate the extra power, $ \dot{W} = \, \_\_\_\_ \, \text{W} $.**Diagram Explanation:**- The diagram shows a car on an inclined plane with angle $\alpha$.- The plane's surface is labeled $L$, which represents the distance travelled along the incline.- The vertical distance travelled is labeled $H$.**Problem Requirements:**Use the above information to calculate the extra power $ \dot{W} $ required for the car's motion up the incline.**Steps:**1. Calculate the increase in kinetic energy.2. Calculate the increase in potential energy.3. Determine the total work done and then the extra power required.This explanation will guide students to understand how to approach the problem by considering both kinetic and potential energy changes while moving up an inclined plane.

Name: A car is accelerated from velocity v1 to v2 in the time period of t .
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: A car is accelerated from velocity v1 to v2 in the time period of t . The mass of the car is m. The inclined angle of the hill is α. The distance travelled along the hill is L. The vertical distance travelled is H.If v1= 2 m/s, v2 = 30 m/s, t = 5 s,

Answered: A car is accelerated from velocity v₁…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Topic Video

Question

A car is accelerated from velocity v₁to v_{2 in the time period of t} . The mass of the car is m. The inclined angle of the hill is α. The distance travelled along the hill is L. The vertical distance travelled is H.

If v1= 2 m/s, v2 = 30 m/s, t = 5 s, m= 1000 kg, α = 30 °, L = 50 m, calculate the extra power , =_____W

**Description of the Problem:**

A car is accelerated from velocity $ v_1 $ to $ v_2 $ in the time period of $ t $. The mass of the car is $ m $. The inclined angle of the hill is $ \alpha $. The distance travelled along the hill is $ L $. The vertical distance travelled is $ H $.

**Given Values:**

- Initial velocity, $ v_1 = 2 \, \text{m/s} $
- Final velocity, $ v_2 = 30 \, \text{m/s} $
- Time, $ t = 5 \, \text{s} $
- Mass, $ m = 1000 \, \text{kg} $
- Incline angle, $ \alpha = 30^\circ $
- Distance along the hill, $ L = 50 \, \text{m} $

Calculate the extra power, $ \dot{W} = \, \_\_\_\_ \, \text{W} $.

**Diagram Explanation:**

- The diagram shows a car on an inclined plane with angle $\alpha$.
- The plane's surface is labeled $L$, which represents the distance travelled along the incline.
- The vertical distance travelled is labeled $H$.

**Problem Requirements:**

Use the above information to calculate the extra power $ \dot{W} $ required for the car's motion up the incline.

**Steps:**

1. Calculate the increase in kinetic energy.
2. Calculate the increase in potential energy.
3. Determine the total work done and then the extra power required.

This explanation will guide students to understand how to approach the problem by considering both kinetic and potential energy changes while moving up an inclined plane.

Expert Solution

Step 1

Given that

The mass of the car is $m = 1000 (k g)$

the initial velocity of the car is $v_{1} = 2 (m / s)$

the final velocity of the car is $v_{2} = 30 (m / s)$

the time taken by the car to achieve its final velocity is $t = 5 (s)$

the distance traveled by car is $L = 50 (m)$

and the angle of inclination of the inclined plane is $α = 30^{o}$

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions