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You decide to take a road-trip to Colorado to get a break from the Arizona heat, when you find yourself stuck in the middle of a snow-storm. You are about to drive down a large hill of height 151 m so you slow down to a constant speed of 15 mph (assume that it's night time and you're properly caffeinated and no one else is on the road). Right as you start to go over the edge of the hill, your tires slip and you can no longer brake your car. You take note of a road sign that tells you that the hill has a 7% grade (which means that the slope of the hill is at a angle of 0 = 4° relative to the horizontal). Due to the icy conditions of the road, the road is now essentially friction-less and you cannot apply your brakes to slow down your car. Your car in particular has a mass of 1980 kg. a. Draw a detailed diagram of the hill and car and label all of the relevant values for when your car first starts sliding down the hill. Include a free-body diagram on the car itself. (Don't worry about how pretty the picture is, the point is to have a well defined diagram overall). b. At a height 50 m below the top of the hill, the road is no longer icy. What is the speed of your car at this point? Give answer in SI units.

You decide to take a road-trip to Colorado to get a break from the Arizona heat, when you find yourself stuck in the middle of a snow-storm. You are about to drive down a large hill of height 151 m so you slow down to a constant speed of 15 mph (assume that it's night time and you're properly caffeinated and no one else is on the road). Right as you start to go over the edge of the hill, your tires slip and you can no longer brake your car. You take note of a road sign that tells you that the hill has a 7% grade (which means that the slope of the hill is at a angle of 0 = 4° relative to the horizontal). Due to the icy conditions of the road, the road is now essentially friction-less and you cannot apply your brakes to slow down your car. Your car in particular has a mass of 1980 kg. a. Draw a detailed diagram of the hill and car and label all of the relevant values for when your car first starts sliding down the hill. Include a free-body diagram on the car itself. (Don't worry about how pretty the picture is, the point is to have a well defined diagram overall). b. At a height 50 m below the top of the hill, the road is no longer icy. What is the speed of your car at this point? Give answer in SI units.

College Physics
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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PLEASE HELP!!!! have to use CoE. For number 1b. I got 45.02m/s, is that correct/can you double check? I am really struggling with c and d!!

c. You now need to stop your car before it reaches the bottom of the hill to avoid hitting another car that has stalled out at the bottom of the hill. Now that you are no longer in an ice-patch, you apply your brakes continuously for the rest of your trip down the hill. How much work must be done in order to have your car stop right as you reach the bottom of the hill? d. If the ice-less road has a friction coefficient of 0.462, what is the distance that you had to apply the brakes over in order to get it to stop at the bottom of the hill? Draw and label a free-body diagram of the car to start and draw and label the distance, d.
Transcribed Image Text:c. You now need to stop your car before it reaches the bottom of the hill to avoid hitting another car that has stalled out at the bottom of the hill. Now that you are no longer in an ice-patch, you apply your brakes continuously for the rest of your trip down the hill. How much work must be done in order to have your car stop right as you reach the bottom of the hill? d. If the ice-less road has a friction coefficient of 0.462, what is the distance that you had to apply the brakes over in order to get it to stop at the bottom of the hill? Draw and label a free-body diagram of the car to start and draw and label the distance, d.
1. You decide to take a road-trip to Colorado to get a break from the Arizona heat, when you find yourself stuck in the middle of a snow-storm. You are about to drive down a large hill of height 151 m so you slow down to a constant speed of 15 mph (assume that it's night time and you're properly caffeinated and no one else is on the road). Right as you start to go over the edge of the hill, your tires slip and you can no longer brake your car. You take note of a road sign that tells you that the hill has a 7% grade (which means that the slope of the hill is at a angle of 0 = 4° relative to the horizontal). Due to the icy conditions of the road, the road is now essentially friction-less and you cannot apply your brakes to slow down your car. Your car in particular has a mass of 1980 kg. a. Draw a detailed diagram of the hill and car and label all of the relevant values for when your car first starts sliding down the hill. Include a free-body diagram on the car itself. (Don't worry about how pretty the picture is, the point is to have a well defined diagram overall). b. At a height 50 m below the top of the hill, the road is no longer icy. What is the speed of your car at this point? Give answer in SI units.
Transcribed Image Text:1. You decide to take a road-trip to Colorado to get a break from the Arizona heat, when you find yourself stuck in the middle of a snow-storm. You are about to drive down a large hill of height 151 m so you slow down to a constant speed of 15 mph (assume that it's night time and you're properly caffeinated and no one else is on the road). Right as you start to go over the edge of the hill, your tires slip and you can no longer brake your car. You take note of a road sign that tells you that the hill has a 7% grade (which means that the slope of the hill is at a angle of 0 = 4° relative to the horizontal). Due to the icy conditions of the road, the road is now essentially friction-less and you cannot apply your brakes to slow down your car. Your car in particular has a mass of 1980 kg. a. Draw a detailed diagram of the hill and car and label all of the relevant values for when your car first starts sliding down the hill. Include a free-body diagram on the car itself. (Don't worry about how pretty the picture is, the point is to have a well defined diagram overall). b. At a height 50 m below the top of the hill, the road is no longer icy. What is the speed of your car at this point? Give answer in SI units.
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