A child of mass m = 25 kg starts from rest and slides without friction from a height h along a slide next to a pool. She is launched from a height into the air over the pool. (a) Using conservation of energy, find the speed of the child at the end of the slide. (b) Using your result of part (a) and equations related to a projectile, find ymax as shown in the picture, in terms of h and 0. h Ymax Th/5 1

A child of mass m = 25 kg starts from rest and slides without friction from a height h along a slide next to a pool. She is launched from a height into the air over the pool. (a) Using conservation of energy, find the speed of the child at the end of the slide. (b) Using your result of part (a) and equations related to a projectile, find ymax as shown in the picture, in terms of h and 0. h Ymax Th/5 1

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)...

See similar textbooks

Similar questions

For a certain run, the following data is obtained when filling up Table 2 of the manual: Mass of cart = 600 g, hanging mass = 33 g, distance travelled by the cart = 49 cm, initial speed of the cart = 0.38 m/s, Final speed of the cart = 0.8 m/s, Calculate the percent difference between change in potential energy and change in Kinetic Energy.
A 69.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.9 m/s. The goal of this problem is to find the maximum height she attains and her speed at half maximum height. Write the general equation for energy conservation and solve for the velocity at half the maximum height. Substitute and obtain a numerical answer.
A large cruise ship of mass 6.80 x 107 kg has a speed of 11.6 m/s at some instant. (a) What is the ship's kinetic energy at this time? J (b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) J (c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.80 km? N
A shooting star is a meteoroid that burns up when it reaches Earth’s atmosphere. Many of these meteoroids are quite small. Compare the kinetic energy of a shooting star to that of a moving car. (a) What is the kinetic energy of a meteoroid of mass 4.84 g moving at a speed of 49.2 km/s? (b) What is the kinetic energy of a 1054-kg car moving at 28.9 m/s (64.6 mi/h)?
* Incorrect. A proton (mass m = 1.67 × 10-27 kg) is being accelerated along a straight line at 2.00 × 10¹1 m/s² in a machine. If the proton has an initial speed of 1.30 x 105 m/s and travels 5.60 cm, what then is (a) its speed and (b) the increase in its kinetic energy? (a) Number i 3.28E-22 (b) Number i Units Units J
A man of mass 79.5 kg walks down the aisle of an airplane at a speed of 1.50 m/s in the forward direction while the plane moves at a speed of 325 m/s relative to the earth. (a) Find the man's kinetic energy relative to the plane.(b) Find the man's kinetic energy relative to the earth.
A 500 kg dragster reaches a speed of 90 m/s on level ground, starting from rest. Its efficiency is only 8.20% in producing kinetic energy, because of friction and its design for high power without regard to efficiency. (a) How many gallons of fuel does it use during this acceleration, given there are 1.30 x 10 3 of energy per gallon? gal (b) How much waste beat (in 3) is produced? 3 (c) Once it is brought back to rest (assuming the engine shuts off at the end of the race), how much waste heat (in 3) has been produced?
The figure here shows a plot of potential energy U versus position x of a 0.878 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) Three values are UA-15.0J, Us - 35.0 J and Uc-45.0 J. The particle is released at x -4.50 m with an initial speed of 7.99 m/s, headed in the negative x direction. (a) If the particle can reach x -1.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (b) magnitude and (c) direction of the force on the particle as it begins to move to the left of x- 4.00 m? Suppose, instead, the particle is headed in the positive x direction when it is released at x - 4.50 m at speed 7.99 m/s. (d) If the particle can reach x - 7.00 m, what is its speed there, and if it cannot, what is its turning point? What are the (e) magnitude and (f) direction of the force on the particle as it begins to move to the right of x-5.00 m? (0)2 Ucr UB UA 2 (a) Number (b) Number 10 4 x (m) (c) positive (+x) (e)…
An archer shoots an arrow of mass 0.0204 kg using a crossbow. If the archer aims the crossbow horizontally and the arrow leaves the crossbow at a speed of 15.6 m/sm/s, how much work would the crossbow have done to accelerate the arrow to said speed? (Assume air resistance can be neglected.)
A child of mass m = 25 kg starts from rest and slides without friction from a height h along a slide next to a pool. She is launched from a height h/5 into the air over the pool. (a) Using conservation of energy, find the speed of the child at the end of the slide (b) Using your result of part (a) and equations related to a projectile, find ymax as shown in the picture, in terms of h and θ.
An object of mass 2.0 kg is dropped from a height of 1.0 metres. It lands with a speed of 1.8 m/s. How much energy was lost due to air resistance? (Give your answer to 2 s.f., expressed as a magnitude) Your Answer: Answer
Consider the following scenario. A car for which friction is not negligible accelerates from rest down a hill, running out of gasoline after a short distance (see below). The driver lets the car coast farther down the hill, then up and over a small crest. He then coasts down that hill into a gas station, where he brakes to a stop and fills the tank with gasoline. Identify the forms of energy the car has, and how they are changed and transferred in this series of events.