You just turned 16 and thanks to some long hours at your job and some amazing parents you were able to purchase a tesla. This 3000 kg car can go from 0 to 33m/s (a little over 60 miles per hour) in 2.5 seconds. You peel away from a stoplight and do just that. a. How far from the light are you when you hit 33 m/s? m Since you live in the great city of Chicago and it is December and you encounter an icy patch. Your car experiences NO friction on the ice patch but you also cannot apply any force. Another small (m=2300 kg) van coming towards you at 25m/s in the other direction loses control and comes straight for you. They hit you and the two vehicles get tangled together and continue to slide across the ice. b. How fast are the cars going after the collision? m/s Round answers to the nearest hundredth. Use the rounded value for the rest of the problem. c. After you slide off the ice you hit the shoulder of the road with a coefficient of friction of 0.4 compared to the road. What is your acceleration as they start to slide to a stop? m/s/s
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
You just turned 16 and thanks to some long hours at your job and some amazing parents you were able to purchase a tesla. This 3000 kg car can go from 0 to 33m/s (a little over 60 miles per hour) in 2.5 seconds. You peel away from a stoplight and do just that.
a. How far from the light are you when you hit 33 m/s? m
Since you live in the great city of Chicago and it is December and you encounter an icy patch. Your car experiences NO friction on the ice patch but you also cannot apply any force. Another small (m=2300 kg) van coming towards you at 25m/s in the other direction loses control and comes straight for you. They hit you and the two vehicles get tangled together and continue to slide across the ice.
b. How fast are the cars going after the collision? m/s
Round answers to the nearest hundredth. Use the rounded value for the rest of the problem.
c. After you slide off the ice you hit the shoulder of the road with a coefficient of friction of 0.4 compared to the road. What is your acceleration as they start to slide to a stop? m/s/s
d. How much momentum do you have after you have gone 1.5 m off the ice. kgm/s
Round answers to the nearest hundredth. Use the rounded value for the rest of the problem.
e. What is the kinetic energy of the two cars when it has gone 1.5m off the ice? J
Step by step
Solved in 4 steps