Question

In: Physics

A 1500 kg car starts from rest and drives around a flat 50-m-diameter circular track. The...

A 1500 kg car starts from rest and drives around a flat 50-m-diameter circular track. The forward force provided by the car’s drive wheels is a constant 1000 N.
A. What are the magnitude and direction of the car’s acceleration at t = 10 s? Give the direction as an angle from the r-axis.

B. If the car has rubber tires and the track is concrete (use book or other reference to find coefficients of friction), at what time does the car begin to slide out of the circle?

Expert Solution

a) Let's start with the tangential acceleration...

.

Next is the speed of the car so we can get the radial acceleration.

we know that radial acceleration,
so we get
Total acceleration =

Direction

b) The centripetal force is given as the following:
, where () is the constant for rubber on concrete which actually equals 1.

To calculate the time the car begins to slide out of the circle:

genius_generous answered 1 year ago

1a. A car drives around a circular track of diameter 154 m at a constant speed...

1a. A car drives around a circular track of diameter 154 m at a constant speed of 45.1 m/s. During the time it takes the car to travel 97 degrees around, what is the magnitude of the car s average acceleration? b. A car starts from rest, then accelerates at a constant rate over a distance of 63 m. It then immediately decelerates at a constant rate over a distance of 122 m. The entire trip lasts a total duration...

A race car starts from rest on a circular track of radius 490 m. The car's...

A race car starts from rest on a circular track of radius 490 m. The car's speed increases at the constant rate of 0.430 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following. (a) the speed of the race car m/s (b) the distance traveled m ( c) the elapsed time s

10-4=5=6 a. A car traveling on a flat (unbanked), circular track accelerates uniformly from rest with...

10-4=5=6 a. A car traveling on a flat (unbanked), circular track accelerates uniformly from rest with a tangential acceleration of 2.10 m/s2. The car makes it one quarter of the way around the circle before it skids off the track. From these data, determine the coefficient of static friction between the car and track. b.A 250-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the...

car is traveling around a horizontal circular track with radius r = 170 m at a...

car is traveling around a horizontal circular track with radius r = 170 m at a constant speed v = 29 m/s as shown. The angle θA = 24° above the x axis, and the angle θB = 60° below the x axis. 1) What is the magnitude of the car’s acceleration and what is the x component of the car’s acceleration when it is at point A? (m/s^2) 2) What is the y component of the car’s acceleration when...

1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter starts from rest...

1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter starts from rest at the top of a 65 cm tall incline. There is just enough friction on the incline to make the sphere roll instead of slide. (a) What types of energy does the sphere have at the top? at the bottom? (b) What is the moment of inertia of the sphere? (c) What is the velocity of the sphere when it reaches the bottom of...

A Ferris wheel with a diameter of 35.0 m in , starts from rest and achieves...

A Ferris wheel with a diameter of 35.0 m in , starts from rest and achieves its maximum operational tangential speed of 2.20 m/s in a time of 15.0 s. a.) what is the magnitude of the wheel

A toy car with a mass of 1 kg starts from rest at the top of...

A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A. The toy car is released from rest, rolls 2 meters down the ramp, then another 3 meters across the floor to point B where its speed is measured to be 4.24 m/s. The air exerts a resistance force of 2.0 N on the car as it moves from A to B. Find the initial height of the car at...

George and Paula are running around a circular track. George starts at the westernmost point of...

George and Paula are running around a circular track. George starts at the westernmost point of the track, and Paula starts at the easternmost point. The illustration below shows their starting positions and running directions. They start running toward each other at constant speeds. George runs at 8 feet per second. Paula takes 50 seconds to run a lap of the track. George and Paula pass each other after 11 seconds. After running for 3 minutes, how far east of...

A ski jumper starts from rest 54.0 m above the ground on a frictionless track and...

A ski jumper starts from rest 54.0 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of 19.0 m above the ground. Neglect air resistance. (a) What is her speed when she leaves the track? m/s (b) What is the maximum altitude she attains after leaving the track? m (c) Where does she land relative to the end of the track? m

1)A 75 kg cyclist races around a circular track at a constant speed of 20 m/s....

1)A 75 kg cyclist races around a circular track at a constant speed of 20 m/s. The radius of the track is 50 m. Express both of your answers to the nearest whole number. a) What is the acceleration of the cyclist? b) What is the net force acting on the cyclist? 2)In the Bohr model of the hydrogen atom, an electron circles a proton in an orbit whose radius is 5.30 x 10-11 m. a) Find the magnitude of...