Acceleration form velocity When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation 222P where P 3.6 x 10W is the car's power output, m 1200kg is its mass, and v is in m/s. That is, the square of the car's velocity increases linearly with time Part A What is the car's speed at t-11 s? Express your answer using two significant figures u E m/s Submit Request Answer Part B What is the car's speed at t-20 s? Express your answer using two significant figures u E m/s Submit Request Answer Part C Find a symbolic expression, in terms of P, m, and t, for the car's acceleration at time t a(t)-

Acceleration form velocity When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation 222P where P 3.6 x 10W is the car's power output, m 1200kg is its mass, and v is in m/s. That is, the square of the car's velocity increases linearly with time Part A What is the car's speed at t-11 s? Express your answer using two significant figures u E m/s Submit Request Answer Part B What is the car's speed at t-20 s? Express your answer using two significant figures u E m/s Submit Request Answer Part C Find a symbolic expression, in terms of P, m, and t, for the car's acceleration at time t a(t)-

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 91AP

See similar textbooks

Similar questions

A 3.00-kg object has a velocity (6.00i1.00j)m/s. (a) What is its kinetic energy at this moment? (b) What is the net work done on the object if its velocity changes to (8.00i+4.00j)m/s. (Note: From the definition of the dot product, v2=vv.)
Professional Application Football coaches advise players to block, hit, and tackle with their feet on the ground rather than by leaping through the air. Using the concepts of momentum, work, and energy, explain how a football player can be more effective with his feet on the Ground.
Give an example of something think of as work in everyday circumstances that is not work in the scientific sense. Is energy transferred or changed in form in your example? If so, explain how this without doing work.
Suppose a 350-g kookaburra (a large kingfisher bird) picks up a 75-g snake and raises it 2.5 m from the ground to a branch. (a) How much work did the bird do on the snake? (b) How much work did it do to raise its own center of mass to the branch?
A 60.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 9.0 m/s. The goal of this problem is to find the maximum height she attains and her speed at half maximum height. (a) What are the interacting objects and how do they interact? (b) Select the height at which the athletes speed is 9.0 m/s as y = 0. What is her kinetic energy at this point? What is the gravitational potential energy associated with the athlete? (c) What is her kinetic energy at maximum height? What is the gravitational potential energy associated with the athlete? (d) Write a general equation for energy conservation in this case and solve for the maximum height. Substitute and obtain a numerical answer. (e) Write the general equation for energy conservation and solve for the velocity at half the maximum height. Substitute and obtain a numerical answer.
(a) Sketch a graph of the potential energy function U(x)=kx2/2+Aex2 where k , A, and are constants. (b) What is the force corresponding to this potential energy? (c) Suppose a particle of mass in moving with this potential energy has a velocity v when its position is x = . Show that the particle does not pass 2+2 through the origin unless Amv2=k22(1e a 2 ) .
Two blocks, A and B (with mass 50.0 kg and 1.00 102 kg, respectively), are connected by a string, as shown in Figure P5.86. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is k = 0.250. Determine the change in the kinetic energy of block A as it moves from to , a distance of 20.0 m up the incline (and block B drops downward a distance of 20.0 m) if the system starts from rest. Figure P5.86
The "shot" used in the shot-put event is a metal ball with a mass of 7.3 kg. When thrown in Olympic competition, it is accelerated to a speed of about 14 m/s. As an approximation, let's say that the athlete exerts a constant force on the shot while throwing it and that it moves a distance of 3 m while accelerating. (a) What is the shot's kinetic energy? (b) Compute the force that acts on the shot. (c) It takes about 0.5 s to accelerate the shot. Compute the power required. Convert your answer to horsepower.
Calculate the power output in watts and horsepower of a shot-putter who takes 1.20 s to accelerate the 7.27-kg shot from rest to 14.0 m/s, while raising it 0.800 m. (Do not include the power produced to accelerate his body.) Figure 7.42 Shot putter at the Dornoch Highland Gathering in 2007. (credit: John Haslam, Flickr)
A roller-coaster car (Fig. P6.16) has a mass of 500 kg when fully loaded with passengers. The path of the ca coaster from its initial point shown in the figure to point involves only up-and-down motion (as seen by the riders), with no motion to the left or right, (a) If the vehicle has a speed of 20.0 m/s at point . what is the force exerted by the track on the car at this point? (b) What is the maximum speed the vehicle can have at point and still remain on the track? Assume the roller-coaster tracks at points andl are parts of vertical circles of radius r1 = 10.0 m and i2 = 15.0 m, respectively.
A baseball is thrown vertically upward. The mass of the baseball is m, and its initial speed is vi. a. What is the momentum of the baseball at its maximum height? b. What is the momentum of the baseball when it has traveled three-fourths of the total distance in its up-and-down motion?
If only one external force acts on a particle, does it necessarily change the particles (a) kinetic energy? (b) Its velocity?