Problems 14 - 16: A cannon is fixed to a rolling cart. The combined mass of the cannon and cart is 500 kg. A 1.0 kg cannonball is inserted into the cannon. The cannon is pushed in a straight, horizontal line until it achieves a speed of 6 m/s. The effects of air resistance and rolling resistance are negligible. 14. As the cart is rolling, the cannon is fired. The force acting on the cannonball is experimentally determined to be of the form: F(t) = A-sin(25xt) (N) where A is the amplitude of the force function. If it takes 0.02 seconds for the cannonball to exit the cannon immediately after firing, what is the impulse delivered to the cannonball ( in terms of A)?

Problems 14 - 16: A cannon is fixed to a rolling cart. The combined mass of the cannon and cart is 500 kg. A 1.0 kg cannonball is inserted into the cannon. The cannon is pushed in a straight, horizontal line until it achieves a speed of 6 m/s. The effects of air resistance and rolling resistance are negligible. 14. As the cart is rolling, the cannon is fired. The force acting on the cannonball is experimentally determined to be of the form: F(t) = A-sin(25xt) (N) where A is the amplitude of the force function. If it takes 0.02 seconds for the cannonball to exit the cannon immediately after firing, what is the impulse delivered to the cannonball ( in terms of A)?

Name: 15. If the cannon/cart comes to rest after it isfired, what is the va
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: 15. If the cannon/cart comes to rest after it isfired, what is the value of A (include units)?Answer 15:16. What is the velocity of the center of mass ofthe ball/cannon/cart system after firing?Answer 16: Problems 14 - 16:A cannon is fixed to a roll

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.60P

See similar textbooks

Similar questions

Find the center of mass of the point masses along the x-axis. Draw your illustration. m1= 15 kg, m2= 20 kg, m3= 50 kg x1 = 6m, x2 = 8m, x3 = 10m
At the center of a 47.0 m diameter circular ice rink, a 56.0 kg skater traveling north at 2.60 m/s collides with and holds onto a 59.0 kg skater who had been heading west at 1.05 m/s. How long (in seconds) will it take them to reach the edge of the rink assuming negligible friction and drag?
The man's mass is 68 kg, and the canoe's is 129 kg. The man and canoe are initially at rest when the man throws a package of mass m = 15 kg horizontally to the right with a speed of vi = 4.6 m/s. What is the velocity of the canoe after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.)
The Zacchini family was renowned for their human- cannonball act in which a family member was shot from a cannon using either elastic bands or compressed air. In one version of the act, Emanuel Zacchini was shot over three Ferris wheels to land in a net at the same height as the open end of the cannon and at a range of 69 m. He was propelled inside the barrel for 5.2 m and launched at an angle of 53. If his mass was 85 kg and he underwent constant acceleration inside the barrel, what was the magnitude of the force propelling him? (Hint: Treat the launch as though it were along a ramp at 53. Neglect air drag.)
A tall man walking at 1.10 m/s accidentally bumps his head of mass 3.07 kg on a steel doorjamb. His head stops in 0.019 s. What is the magnitude of the average force exerted by the doorjamb on the man's head?
Two blocks of mass m1 = 0.6 kg and m2 = 2.4 kg are connected by a massless string, as shown in the Figure. They are released from rest. The coefficent of kinetic friction between the upper block and the surface is 0.27. Calculate the speed of the blocks after they have moved a distance 53 cm. Assume that the pulley is massless and frictionless.
PART 1: A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy coordi-nates (0.300 m, 0.750 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you placea 4.00 kg particle such that the center of mass of the three-particle system has the coordinates (0.500 m, 0.900 m)? PART 2: A rope is used to pull a 3.5 kg block at constant speed 6 m along a horizontal oor. The force onthe block from the rope is 7 N and directed = 20 above the horizontal. What are (a) the work done by therope's force, (b) the increase in thermal energy of the block- oor system. PART 3: Draw a labelled gure to explain the idea of turning point in terms of energy.
A car with mass mc=1270kg is traveling west through an intersection with a speed of vc=14.41m/s when a truck of mass mt=1740kg traveling south at vt=6.63m/s fails to yield. The vehicles collide, they stick together, and they slide on the asphalt which has a coefficient of kinetic friction of μk=0.500. Associate the positive x direction with east and the positive y direction with north. a. Using the symbols provided in the palette below as opposed to their numeric equivalents, enter an expression, in Cartesian unit-vector notation, for the velocity of the vehicles immediately after the collision, as they begin to slide as a composite object. b. How far, in meters, will the vehicles slide after the collision?
. The fisherman's mass is 79 kg, and the boat's is 126 kg. The fisherman and boat are initially at rest when the fisherman throws a package of mass m = 15 kg horizontally to the right with a speed of vi = 4.9 m/s. What is the velocity of the boat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.) What is the direction of the boat?
An open train car, with a mass of 2050 kg, coasts along a horizontal track at the speed 2.792.79 m/s. The car passes under a loading chute and, as it does so, gravel falls vertically into it for 2.792.79 s at the rate of 475 kg/s. What is the car's speed vf after the loading is completed? Ignore rolling friction.
A skater of mass 81.0 kg initially moves in a straight line at a speed of 5.10 m/s. The skater approaches a child of mass 43.5 kg, whom he lifts on his shoulders. Assuming there are no external horizontal forces, what is the skater's final velocity?
A fire hose ejects water at the rate of 60kg of water per second at a velocity of 40 m/a. With what force must a fireman hold on the hose to keep it stationary?