Mickey, a daredevil mouse of mass M, is attempting to become the world's first "mouse cannonball." He is loaded into a spring- powered gun pointing up at some angle, and is shot into the air. The gun's spring has force constant k and is initially compressed a distance X from its relaxed position. If Mickey has a constant horizontal speed V while he is flying through the air, how high above his initial location in the gun does Mickey soar? Find an expression for Mickey's maximum height hm in terms of M, V, X, kị and g. hm =

Mickey, a daredevil mouse of mass M, is attempting to become the world's first "mouse cannonball." He is loaded into a spring- powered gun pointing up at some angle, and is shot into the air. The gun's spring has force constant k and is initially compressed a distance X from its relaxed position. If Mickey has a constant horizontal speed V while he is flying through the air, how high above his initial location in the gun does Mickey soar? Find an expression for Mickey's maximum height hm in terms of M, V, X, kị and g. hm =

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 toy cannon uses a spring to project a 5.40-g soft rubber ball. The spring is originally compressed by 5.09 cm and has a force constant of 7.97 N/m. When the cannon is fired, the ball moves 16.0 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 3 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? m/s (b) At what point does the ball have maximum speed? cm (from its original position) (c) What is this maximum speed? m/s
A 1.4 kg mass slides to the right on the surface having a coefficient of kinetic friction 0.25. The object of the speed of v(initial)=2.7 m/s when it makes contact with a light spring that has a force constant of 50 N/m. The object comes to rest after the spring has been compressed a distance d. The object is then forced toward the left by the spring and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest at distance D to the left of the unstretched spring. Find the distance of compression d. Find the speed v at the unstretched position when the object is moving to the left. Find the distance D where the object comes to rest.
The block in the figure lies on a horizontal frictionless surface, and the spring constant is 42 N/m. Initially, the spring is at its relaxed length and the block is stationary at position x = 0. Then an applied force with a constant magnitude of 3.0 N pulls the block in the positive direction of the x axis, stretching the spring until the block stops. When that stopping point is reached, what are (a) the position of the block, (b) the work that has been done on the block by the applied force, and (c) the work that has been done on the block by the spring force? During the block's displacement, what are (d) the block's position when its kinetic energy is maximum and (e) the value of that maximum kinetic energy? x=0 Ę = 0 0000000 Block attached to spring (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units X > > >
A block of mass m 8.2 kg slides on a rough surface and moves toward a spring with a spring constant k = 1874 N/m, as shown in the figure below. When the block is d = 17.4m away from the spring, it has a velocity of v. At the instant the block momentarily stops, it has compressed the spring by x = 30 cm. If the coefficient of kinetic friction between the block and the surface below is u = 0.37, what is the block's velocity, v =? Provide your answer in units of m/s using one decimal place. Take g = 9.80 m/s². k m d Answer:
A block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a strong spring with k = 2.30 ✕ 104 N/m.The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?
A cube of a mass m=0.37 kg is set against a spring with a spring constant of k1=656 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=181N/m. The cube is not connected to the first spring and may slide freely. I found (a) and (b). I just need help with (c). a). How far d2, in meters, will the second spring compress when thee cube runs into it? 0.19 m. (answer) b). How fast v, in meters per second, will the cube be moving when it strikes the second spring? 4.21 m/s (answer) 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 uk=0.5. If the distance between the springs is x=1m, how far d2, in meters, will the second spring now compress?
a bullet with the mass 5kg is fired horizontally into a 2kg block attached to a horizontal spring. the spring has a constant 6.00 x 10^2 N/m and reaches a maximum compression of 6cm. what is the speed of the bullet
A spring with k = 15 N/m with equilibrium length 30 cm is attached vertically to a surface and then allowed to come to equilibrium, after which a weight with mass 0.2 kg is attached to the top side of the spring. → What is the speed of the weight when it first reaches the new equilibrium height?
A glider with mass m = 0.240 kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 4.70 N/m . You pull on the glider, stretching the spring 0.110 m , and then release it with no initial velocity. The glider begins to move back toward its equilibrium position (x=0). What must the initial displacement of the glider be if its maximum speed in the subsequent motion is to be 2.40 m/s ?
The class I'm taking is physics for scientists and engineers! I am completely stuck. Need help. I have attached the problem. Please view both attachments before answering. If you can please explain your answer so I can fully understand. Thank you!
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 1.20 kg block slides down a frictionless incline with a slope angle of 42.0°, starting from a height 2.30 m above the bottom of the incline. The incline meets a frictionless horizontal surface, at the end of which is a spring in its equilibrium position (k =460. N/m) used to stop the block. Find the maximum compression of the spring.