A 1400 kg car traveling at 14.5 m/s suddenly runs out of gas while approaching the valley shown in the diagram. What will be the car's speed (in m/s) as it coasts into the gas station on the other side of the valley assuming that the local acceleration due to gravity is 9.80 m/s2? (Draw Forces) The image depicts a diagram of a hilly road leading to a gas station. There is a car positioned on the initial downward slope of a hill. The road features two hills: 1. The first hill, where the car is located, has a height of 10 meters.2. The second hill, which leads up to the gas station, has a height of 15 meters.The diagram illustrates the relative heights of the hills, with dashed lines indicating reference points for measuring the heights. The gas station is located at the top of the second hill. This setup can be used to discuss concepts such as energy conservation, potential and kinetic energy, and the effects of gravity on vehicles moving over hilly terrain.

GivenData: Mass of car mcar=1400 kg Speed of car vcar=14.5 ms Local acceleration due to gravity…

Answered: A 1400 kg car traveling at 14.5 m/s…

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)...

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A 1400 kg car traveling at 14.5 m/s suddenly runs out of gas while approaching the valley shown in the diagram. What will be the car's speed (in m/s) as it coasts into the gas station on the other side of the valley assuming that the local acceleration due to gravity is 9.80 m/s²? (Draw Forces)

The image depicts a diagram of a hilly road leading to a gas station. There is a car positioned on the initial downward slope of a hill. The road features two hills:

1. The first hill, where the car is located, has a height of 10 meters.
2. The second hill, which leads up to the gas station, has a height of 15 meters.

The diagram illustrates the relative heights of the hills, with dashed lines indicating reference points for measuring the heights. The gas station is located at the top of the second hill.

This setup can be used to discuss concepts such as energy conservation, potential and kinetic energy, and the effects of gravity on vehicles moving over hilly terrain.

Expert Solution

Step 1

GivenData:

Mass of car $m_{c a r} = 1400 kg$

Speed of car $v_{c a r} = 14.5 \frac{m}{s}$

Local acceleration due to gravity $g = 9.80 \frac{m}{s^{2}}$

Height $h_{1} = 10 m$

Height of gas station above ground $h_{2} = 15 m$

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