A spring-loaded toy gun projects a 6.0 g nerf pellet horizontally. The spring constant is 8.5 N/m, the barrel of the gun is 17 cm long, and a constant frictional force of 0.032 N exists between the barrel and the nerf pellet. If the spring is compressed 6.5 cm for this launch, determine the speed (in m/s) of the pellet as it leaves the barrel. (Assume the pellet is in contact with the barrel for the full length of the barrel.) 7.62 X m/s

A spring-loaded toy gun projects a 6.0 g nerf pellet horizontally. The spring constant is 8.5 N/m, the barrel of the gun is 17 cm long, and a constant frictional force of 0.032 N exists between the barrel and the nerf pellet. If the spring is compressed 6.5 cm for this launch, determine the speed (in m/s) of the pellet as it leaves the barrel. (Assume the pellet is in contact with the barrel for the full length of the barrel.) 7.62 X m/s

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 box of mass m = 0.14 kg is set against a spring with a spring constant of kį = 670 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 204 N/m. (a) How far, d, in meters, will the second spring compress when the box runs into it? (b) How fast, v in meters per second, will the box be moving when it strikes the second spring? (c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe| that the second spring only compresses a distance dy/2. How much energy, in joules, was lost to friction? m
You place the spring vertically with one end on the floor. You then lay a 1.60 kg book on top of the spring and release the book from rest. Find the maximum distance the spring will be compressed.
Problem 3: A brick of mass m = 0.28 kg is set against a spring with a spring constant of k1 = 627 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 103 N/m. The brick is not connected to the first spring and may slide freely. Part (a) How far d2, in meters, will the second spring compress when the brick runs into it? Part (c) Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is μk = 0.5. If the distance between the springs is x = 1 m, how far d2, in meters, will the second spring now compress?
An object of mass m= 7.6 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of F =(3N)î +(4N)ĵ . What is the object's speed in m/s after moving 1 meter?
A spring-loaded toy gun is used to launch a 10 g plastic ball. The spring, which has a spring constant of 10N/m is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoots the ball back out horizontally. a) What is the ball's speed as it leaves the barrel? Assume the friction is negligible. b) If the toy gun was shot vertically upward, how high would the ball go? Use energy concepts.
A toy gun uses a spring to project a 5.9 g soft rubber sphere horizontally. The spring constant is 8.0 N/m, the barrel of the gun is 14 cm long, and a constant frictional force of 0.026 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 5.4 cm for this launch? (Assume the projectile is in contact with the barrel for the full 14 cm)
The only force acting on a 3.6 kg body as it moves along the positive x axis has an x component F =-7x N, where x is in meters. The velocity of the body at x = 2.2 m is 11 m/s. (a) What is the velocity of the body at x = 4.6 m? (b) At what positive value of x will the body have a velocity of 3.4 m/s? (a) Number 2.6 Units m/s (b) Number 4.525 Units
Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 48 cm and holds it in position with a force of 163 N. If the mass of the arrow is 51 g and the "spring" is massless, what is the speed of the arrow immediately after it leaves the bow? v=v= m/s A boy throws a ball of mass 0.2 kg straight upward with an initial speed of 22 m/s When the ball returns to the boy, its speed is 17 m/s How much work does air resistance do on the ball during its flight? W=W= J (give the absolute value, rounded to one decimal place)
A 2.05 kg rock is dropped onto a spring from a height of 0.411 m. If the spring constant is 1951 N/m, what is the maximum compression of the spring?
Solve the problem.
The force on a particle of mass 2.0 kg varies with position according to F(x) = −3.0x2 (x in meters, F(x) in newtons). The particle's speed at x = 3.0 m is 5.5 m/s. Find the particle's speed (in m/s) at x = 2.0 m, using the origin as the reference point. Find the particle's speed (in m/s) at = 2.0 m, using x = 5.0 mas the reference point.
An object of mass m = 2.9 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of F = (3N)i + (4N)j. What is the object's speed in m/s after moving 1 meter?