**E)** Calculate the speed with which the ball hits the spring using the Law of Conservation of Energy. Why doesn’t the speed of the ball depend on the reference level you have chosen? ### Recitation of Conservation of Energy1) A ball of mass \( m = 300 \, g \) is released from rest at a height \( h = 45 \, cm \) above a vertical spring with a force constant \( k \), as shown in figure a to the right. The ball strikes the top of the spring and compresses it a distance \( d = 15 \, cm \) as illustrated in figure b.**Explanation of Diagrams (Figures a and b):**- **Figure a** likely depicts the initial position where the ball is at rest at a height \( h \) above the spring. - **Figure b** shows the ball compressing the spring by a distance \( d \), indicating the point of maximum compression.This exercise demonstrates the principles of energy conservation, where gravitational potential energy is converted into elastic potential energy within the spring.

Answered: Image /qna-images/answer/b3803c04-27ff-4b33-ba6d-4f51876f843f.jpg

1) A ball of mass m = 300 g is released from rest a at a height h = 45 cm above a vertical spring of force constant k as shown in figure a to the right. The ball strikes the top of the spring and compresses it a distance d = 15 cm as shown in figure b.

1) A ball of mass m = 300 g is released from rest a at a height h = 45 cm above a vertical spring of force constant k as shown in figure a to the right. The ball strikes the top of the spring and compresses it a distance d = 15 cm as shown in figure b.

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

A cannon with a spring constant of 147 N/m is compressed by 20 cm to shoot marbles of mass 30 g. What is the farthest distance that it can shoot without hitting the top of the ceiling that is 3.0m above the ground?
Two objects (m1 = 4.70 kg and m2 = 2.85 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 4.70-kg object is released from rest at a point h = 4.00 m above the table. answer all of the follwing parts (a) Determine the speed of each object when the two pass each other. m/s(b) Determine the speed of each object at the moment the 4.70-kg object hits the table. m/s(c) How much higher does the 2.85-kg object travel after the 4.70-kg object hits the table?
A 0.150kg bullet is initially at rest 1.50m above the earth in a rifle which is aimed horizontally to the right. The rifle launch mechanism is a spring with a spring constant k=150.0N/m. The spring is initially compressed 0.150m from its equilibrium position with the bullet resting on the spring. The rifle barrel length is 1.35m from the spring equilibrium position. Using the isolated system model, what is the total energy of the bullet while at rest in the rifle chamber?
A 65 kg person rides a 20 kg bicycle at a speed of 11 m/s. The cyclist runs into a parked car and comes to a fast stop. The bike collapses 0.95 m during the crash. a) Determine the kinetic energy of the cyclist/bike before the crash. b) Find the average force exerted on the cyclist/bike by the parked car.
A 6-kg object is lifted upward a distance of 6 m by a vertical force of 80 N. Find the change in kinetic energy of the object. OA There is no change in the kinetic energy or speed, since the object is lifted at dynamics equilibrium. OB. -354 J OC 480 J OD 126.8 J O E None of the above
Imagine that you ski down a slope wearing a Velcro ski vest and then continue skiing on a horizontal surface a bottom of the hill. There you run into a padded, Velcro-covered cart, which is also on skis (see the figure below). A 1280-N/m spring is attached to the other end of the cart and also to a wall. The spring compresses after your 60-kg body hits and sticks to the 20-kg cart. Your speed is 16 m/s just before you hit the cart. (a) What is your maximum speed after joining with the cart? (b) What is the maximum compression of the spring? (c) What is the period of the vibrational motion? (d) What is your maximum acceleration and where does it occur? Sketch and translate Draw a labeled sketch. mYou = 60 kg VYou i x = 16 m/s %3D k =12Joyce AbdenCart 20 kg %3D Vfx = ? A = ? During vibrations T = ? %3D after collision amax = ?
IF F = 1000 Ib, determine the moment of F about an axis going between point D and C. Express the moment in the vector formulation
3: For a projectile launcher, the spring is compressed by 5 cm storing elastic energy in its k-50 N/cm stiffness. With what speed does the launcher launch a 100 gram ball? 5 m/s 50 m/s 0.5 m/s None of these are correct
Ggg
Ggg
A ball of mass m = 1.85 kg is released from rest at a height h = 74.0 cm above a light vertical spring of force constant k as in Figure [a) shown below. The ball strikes the top of the spring and compresses it a distance d = 9.50 cm as in Figure [b] shown below. Neglecting any energy losses during the collision, find the following. (a) Find the speed of the ball just as it touches the spring. m/s (b) Find the force constant of the spring. KN/m Hwww
110