A cannon of mass 5.59 x 103 kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 70.1-kg shell horizontally with an initial velocity of 582 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.)

A cannon of mass 5.59 x 103 kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 70.1-kg shell horizontally with an initial velocity of 582 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.)

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

During a circus act, a performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of m1 = 8.5 kg and the horizontal component of its velocity is v = 8.25 m/s when the performer, of mass m2 = 70.5 kg, catches it. a)If the performer is on nearly frictionless roller skates, enter an expression for his recoil speed, in terms of the masses and initial speed. v' =
Two objects of masses m, = 0.46 kg and m, = 0.96 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 250 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.6 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) v = m/s V2 = m/s a
A steel ball of mass 0.870 kg is fastened to a cord that is 85.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 4.00 kg steel block initially at rest on a frictionless surface. The collision is elastic. Find (a) the speed of the ball and (b) the speed of the block, both just after the collision. (a) Number i Unit (b) Number i Unit
You fire a bullet at a ballistic pendulum. The large block of wood has a mass M2 = 3 kg, and the bullet has a mass of m1 = 35 g. The bullet completely penetrates the wood and emerges with a speed of vf = 80 m/s. The wood, as part of a pendulum, swings up to a maximum height of h = 11 cm. (a) Determine the speed of the block of wood after the bullet has passed through it. m/s(b) What is the speed of the bullet just before it hits the block? m/s(c) If the pendulum length is 0.8 m, what angle does the pendulum string make with the vertical when it reaches the top of its swing? degrees
You have just planted a sturdy 2-m-tall palm tree in your front lawn for your mother’s birthday. Your brother kicks a 500g ball, which hits the top of the tree at a speed of 5 m/s and stays in contact with it for 10 ms. The ball falls to the ground near the base of the tree and the recoil of the tree is minimal. (a) What is the force on the tree? (b) The length of the sturdy section of the root is only 20 cm. Furthermore, the soil around the roots is loose and we can assume that an effective force is applied at the tip of the 20 cm length. What is the effective force exerted by the end of the tip of the root to keep the tree from toppling? Assume the tree will be uprooted rather than bend. (c) What could you have done to ensure that the tree does not uproot easily?
V. DISPLACEMENT, VELOCITY AND ACCELERATION 20. A car is travelling with a constant speed of 60 km/h for about 10 seconds then it came to stop at t=18s. Draw the velocity-time graph then find the displacement of the car, in meters, given that it is towards the same direction as the initial direction of the car. *Answer with the magnitude of the displacement. • Pls see the pictures • PLS WRITE THE SOLUTION PLS, GIVE ME CLEAR AND UNDERSTABLE SOLUTION PLS THANK YOU ALSO PUT A LABEL, SO IT'S NOT CONFUSING THANK YOU!!
**27. ssm A cannon of mass 5.80 × 10° kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires an 85.0-kg shell horizontally with an initial velocity of +551 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of an identical shell fired by this loose can- non? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.)
In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0315 kg and the mass of the pendulum is 0.250 kg, how high ℎ will the pendulum swing if the marble has an initial speed of 5.65 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision.
A cannon of mass 6.13 x 10³ kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 74.5-kg shell horizontally with an initial velocity of 590 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.) Number i Units ◄►
Ball A (ma = 1.200 kg) strikes ball B (mg = 1.200 kg) which is initially hanging from an extensible cord. If the initial velocity of ball A is va1 = 0.900 m/s at an angle of 60° from the vertical and assuming perfectly elastic impact, answer the following questions: 60° VA1 B
A bullet of mass m = 8.00 g is fired into a block of mass M = 250 g that is initially at rest at the edge of a frictionless table of height h = 1.00 m (as shown). The bullet remains in the block, and after the impact the block lands d = 2.00 m from the bottom of the table. Determine the initial speed of the bullet.
One hazard of space travel is debris left by previous missions. There are several thousand objects orbiting Earth that are large enough to be detected by radar, but there are far greater numbers of very small objects, such as flakes of paint. Calculate the force exerted by a 0.100 mg chip of paint that strikes a spacecraft window at a relative speed of 4.00 × 10³ m/s, given the collision lasts 6.00 x 10-8 s.