A lumberjack (mass = 94.8 kg) is standing at rest on one end of a floating log (mass = 282 kg) that is also at rest. The lumberjack runs to the other end of the log, attaining a velocity of +2.56 m/s relative to the shore, and then hops onto an identical floating log that is initially at rest. Neglect any friction and resistance between the logs and the water. (a) What is the velocity of the first log (again relative to the shore) just before the lumberjack jumps off? (b) Determine the velocity of the second log (again relative to the shore) if the lumberjack comes to rest relative to the second log.

A lumberjack (mass = 94.8 kg) is standing at rest on one end of a floating log (mass = 282 kg) that is also at rest. The lumberjack runs to the other end of the log, attaining a velocity of +2.56 m/s relative to the shore, and then hops onto an identical floating log that is initially at rest. Neglect any friction and resistance between the logs and the water. (a) What is the velocity of the first log (again relative to the shore) just before the lumberjack jumps off? (b) Determine the velocity of the second log (again relative to the shore) if the lumberjack comes to rest relative to the second log.

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

Three skydivers are plummeting earthward. They are initially holding onto each other, but then push apart. Two skydivers of mass 70 and 80 kg gain horizontal velocities of 1.2 m/s north and 1.4 m/s southeast, respectively. What is the horizontal velocity of the third skydiver, whose mass is 55 kg?
From what might be a possible scene in the comic book The X-Men, the Juggernaut (mJ) is charging into Colossus (mC) and the two collide. The initial speed of the Juggernaut is vJi and the initial speed of Colossus is vCi. After the collision, the final speed of the Juggernaut is vJf and the final speed of Colossus is vCf as they each bounce off of the other, heading in opposite directions. a. What is the impulse experienced by the Juggernaut? b. What is the impulse experienced by Colossus? c. In your own words, explain how these impulses must compare with each other and how they are related to the average force each superhero experiences during the collision.
the two identetical freight cars roll without friction towards each ohter, in oppoite directions, on a level track,. One car roll at 3.3 m/s and the other rolls at 2.2 m/s/. After the cars collied, they couple and roll together with a speed of ___ m/s
A curved incline is used to give a box a certain velocity as it slides down. The box has a mass of m1=4.92 kg. Friction is negligable. The box starts from rest at h= 5.00 m above the flat surface at the bottom of the incline. After moving down, it collides with a second box m2=10.5kg, also initially at rest. Teh collision is elastic. Find the maximum height to which m1 rises after the collision
A 46.0-kg girl is standing on a 147-kg plank. Both originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity of 1.40î m/s relative to the plank. (a) What is the velocity of the plank relative to the ice surface? |î m/s (b) What is the girl's velocity relative to the ice surface? î m/s
Two air carts of mass m1 = 0.84 kg and m2 = 0.42 kg areplaced on a frictionless track. Cart 1 is at rest initially, and has aspring bumper with a force constant of 690 N>m. Cart 2 has a flatmetal surface for a bumper, and moves toward the bumper of thestationary cart with an initial speed v = 0.68 m>s. (a) What is thespeed of the two carts at the moment when their speeds are equal?(b) How much energy is stored in the spring bumper when thecarts have the same speed? (c) What is the final speed of the cartsafter the collision?
A 2.50 kg box sits halfway up a 16.0 m long ramp that is inclined at an angle of 16.00. You shove a second box, of mass 1.50 kg, that's at the bottom of the ramp, so that it starts sliding up the ramp with a speed of 20.0 m/s. It hits the first box, sticks to it, and they both continue to slide up the ramp. The coefficient of kinetic friction between the boxes and the ramp is 0.200. Where, from the bottom of the ramp, do they come to rest?
A 250-kg flatcar 23 m long is moving with a speed of 7.0 m/s along horizontal frictionless rails. A 95-kg worker starts walking from one end of the car to the other in the direction of motion, with a speed of 3.0 m/s with respect to the car. In the time it takes for him to reach the other end, how far has the flatcar moved?
A man (weighing 915 N) stands on a long railroad flatcar (weighing 2415 N) as it rolls at 18.2 m/s in the positive direction of an x axis, with negligible friction.Then the man runs along the flatcar in the negative x direction at 4.00 m/s relative to the flatcar. What is the resulting increase in the speed of the flatcar?
An arrow of mass 0.0025 kg is shot from a bow. If the string is stretched a distance m using a force 18 N, what would the resuling velocity be for the arrow when the string returns to its original position ?
A 0.8 kg block of wood is sliding across a floor at 2 m/s when a half-gram nail from a nail gun travelling 67 m/s horizontally at an angle 35° relative to the direction of the block embeds itself into the wood. (So, the 35° angle is with respect to the x-axis, with x and y both being in the horizontal plane.) (a) What would be the velocity of the block/nail system just after impact? Find also the magnitude and direction of the velocity. Assume that the impact is so fast that friction between the block and the floor can be ignored. (b) How much energy was lost during this collision?
A 45.0-kg girl is standing on a 135-kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.37 m/s to the right relative to the plank. (Let the direction the girl is moving in be positive. Indicate the direction with the sign of your answer.) (a) What is her velocity relative to the surface of ice? m/s (b) What is the velocity of the plank relative to the surface of Ice? m/s