A horizontal spring is compressed a specific distance by a small particle A and then particle A is released, moves horizontally, and then goes up a hill until it stops at a height of 2.00 m. The spring is then compressed the same distance by a small particle B and then particle B is released, moves horizontally along the same path as particle A, and then goes up the same hill until it stops. Calculate the final height reached by particle B. It is given that particle B has three times the mass of particle A. Assume there is no friction.

A horizontal spring is compressed a specific distance by a small particle A and then particle A is released, moves horizontally, and then goes up a hill until it stops at a height of 2.00 m. The spring is then compressed the same distance by a small particle B and then particle B is released, moves horizontally along the same path as particle A, and then goes up the same hill until it stops. Calculate the final height reached by particle B. It is given that particle B has three times the mass of particle A. Assume there is no friction.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter8: Potential Energy And Conservation Of Energy

Section: Chapter Questions

Problem 8.11CYU: Check Your Understanding Find x(t) for the mass-spring system in Example 8.11 ii the particle starts...

See similar textbooks

Similar questions

A person on a trampoline can go higher with each bounce. How is this possible? Is there a maximum height to which the person can go?
A small anvil of massm= 10 kg is dropped from rest from a heightH= 7.0 m abovethe top of a large, vertically-oriented spring, which gets compressed from its relaxed(equilibrium) position when the anvil lands on it. The spring has spring constantk= 5000Nm. How far does the anvil compress the spring? You may treat the fullcompression distance as your ”ground”, and assume no air resistance.
The torce reguired to compress a non-standard spring as a qunction as. 04 displacement isgiven by the equation F(X) = -Asin (bx)t Kx, where A= 1L0N, b= 1l rad|m, and k- 58 NIm.0 IE M Part A:Enter a general equation in terms 07 the given I iiar 1iaNariables 7or the work requircol to comeress this spring7om positionx, txa: part Bi calculate the work done injouicr as the spring Is come ressed prmi itt bot Woe1=? Arom x=0t X,=38 cm. joulEJ asthe Spring Is Partc: calculate the Workdone in compressed 7rom x1=38cm To xg=69 cm
It will launch a 25 g projectile to a range of 2.15 m when it is launched at an angle of 45 degrees. You can use this information to find the initial velocity of the ball, of course, (and you should). Therefore, you should be able to calculate how much energy the spring in the projectile launcher must impart to the ball as it is being launched. The ball is pushed back 7.5 cm in the projectile launcher in order to getit ready to fire. What is the spring constant of the projectile launcher?
A 2.00 kg block is pushed against a spring with negligible massand force constant k = 400 N/m, compressing it 0.220 m. When theblock is released, it moves along a frictionless, horizontal surface andthen up a frictionless incline with slope 37.0° How far does the block travel up the incline before starting to slide back down?
Initially sliding with a speed of 4.1 m>s, a 1.5-kg block collideswith a spring and compresses it 0.27 m before coming to rest.What is the force constant of the spring?
A toy gun uses a spring with a force constant of 300 N/m to propel a 10.0-g steel ball. If the spring is compressed 7.00 cm and friction is negligible What is the gun’s maximum range on level ground?
atio teamsn Q Search commans of 300Nm) and a g cup thac holdsa Lo0 g e Each upring has an epous mgthof 500 cm When the springs ae 6.51 A slingshot that launches a stone horizontally consists of two light, identical springs (with spring constants of 30.0 N/m) and a light cup that holds a 1.00 kg stone. Each spring has an equilibrium length of 50.0 cm. When the springs are in equilibrium, they line up vertically. Suppose that the cup containing the mass is pulled to x= 70.0 cm to the left of the vertical and then released. 0.5 m x30.7 ml F www 0.5 m Determine (a) the system's total mechanical energy: b) the speed of the stone at x = 0.
A spring project uses a plastic ball. (a) With what speed does the projectile leave the barrel of the cannon? (b) At what point does the ball have maximum speed? (c) What is this maximum speed? When the ball is 5.30 grams. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the ball is fired and moves 15.0cm through the horizontal barrel of the cannon and the barrel exerts a constant friction force of 0.0320N on the ball. (Choose the three best answers, one for each sub question)
A teflon block (m = 80 g) is initially at rest when it is launchedhorizontally across a level tabletop with negligible friction.The block is launched using a spring with k = 790 N/m thathas been compressed by ∆x = 5.0 cm. When the block reachesthe edge of the flat table (height h = 1.5 m) it falls down tothe floor below. Let Vf be the speed of the block just before it hits the floor. As m approaches infinity, what does Vf approach? Why?
A roller starts from rest at the highest point of the truck 30m above the ground. What speed will it have at ground level of the effect of friction is neglected?
You are asked to design a spring that will give a 1160 kg satellite a speed of 2.50 m>s relative to an orbiting space shuttle. Your spring is to give the satellite a maximum acceleration of 5.00g. The spring’s mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible. (a) What must the force constant of the spring be? (b) What distance must the spring be compressed?