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 a. The distance travelled along the hill is L. The vertical distance travelled is H. Select the correct equation of the kinetic energy increase of the car AKE? OA. O B. OC. H *AKE-1 (²₂+1,3² O D. AKE== m(v₂-v₁) ² 1 AKE== m(v²-v²) *AKE = = m(v²+v²)

College Physics
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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)...
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  1. 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.

     Select the correct equation of the kinetic energy increase of the car ΔKE?_______

     

     

      A.

     

      B.

     

      C.

     

      D.

     

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 traveled along the hill is \( L \). The vertical distance traveled is \( H \).

Select the correct equation of the kinetic energy increase of the car \(\Delta KE\)?

*Diagram Description:*
The diagram shows a car on an inclined plane. The plane makes an angle \(\alpha\) with the horizontal. The length of the incline is labeled \( L \) and the vertical height is labeled \( H \). An arrow shows the direction of acceleration \( a \) up the incline.

**Options:**

A. \(\Delta KE = \frac{1}{2} m (v_2 - v_1)^2\)

B. \(\Delta KE = \frac{1}{2} m (v_2 + v_1)^2\)

C. \(\Delta KE = \frac{1}{2} m (v_2^2 - v_1^2)\)

D. \(\Delta KE = \frac{1}{2} m (v_2^2 + v_1^2)\)
Transcribed Image Text: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 traveled along the hill is \( L \). The vertical distance traveled is \( H \). Select the correct equation of the kinetic energy increase of the car \(\Delta KE\)? *Diagram Description:* The diagram shows a car on an inclined plane. The plane makes an angle \(\alpha\) with the horizontal. The length of the incline is labeled \( L \) and the vertical height is labeled \( H \). An arrow shows the direction of acceleration \( a \) up the incline. **Options:** A. \(\Delta KE = \frac{1}{2} m (v_2 - v_1)^2\) B. \(\Delta KE = \frac{1}{2} m (v_2 + v_1)^2\) C. \(\Delta KE = \frac{1}{2} m (v_2^2 - v_1^2)\) D. \(\Delta KE = \frac{1}{2} m (v_2^2 + v_1^2)\)
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