A 67 kg man stands at the front end of a uniform boat of mass 179 kg and of length, L = 2.5 m. Assume there is no friction or drag between the boat and water. What is the location of the center of mass of the system when the origin of our coordinate system (i) on the man's original location (ii) on the back end of the boat? If the man walks from the front end to the back end of the boat, by how much is the boat displaced? Now consider the man and his friend with identical mass of 67 kg are rowing the boat on a hot summer afternoon when they decide to go for a swim. The man jumps off the front of the boat at speed 3 m/s and his friend jumps off the back at speed 4 m/s. If the boat was moving forward at 1.5 m/s when they jumped, what is the speed of the boat after their jump?

A 67 kg man stands at the front end of a uniform boat of mass 179 kg and of length, L = 2.5 m. Assume there is no friction or drag between the boat and water. What is the location of the center of mass of the system when the origin of our coordinate system (i) on the man's original location (ii) on the back end of the boat? If the man walks from the front end to the back end of the boat, by how much is the boat displaced? Now consider the man and his friend with identical mass of 67 kg are rowing the boat on a hot summer afternoon when they decide to go for a swim. The man jumps off the front of the boat at speed 3 m/s and his friend jumps off the back at speed 4 m/s. If the boat was moving forward at 1.5 m/s when they jumped, what is the speed of the boat after their jump?

Name: 2. A 67 kg man stands at the front end of a uniform boat of mass 179
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: 2. A 67 kg man stands at the front end of a uniform boat of mass 179 kg and of length,L= 2.5 m. Assume there is no friction or drag between the boat and water.(a) What is the location of the center of mass of the system when the origin of our coordi

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 student sets up a coordinate system and observes person A is standing at (0 m, 0 m), person B stands at (x m, 0 m), and person C is standing at (0 m, y m). The masses of person A, B, and C are A=60.1 kg, B=70.4 kg, and C= 84.9 kg. Where is the center of all three people? a- (0.327 x; 0.394 y) m b- (0.279 x; 0.327 y) m c- (0.279 x; 0.394 y) m d- (0.327 x; 0.327 y) m e- (0.394 x; 0.394 y) m
The vector position of a 3.75 g particle moving in the xy plane varies in time according to r₁ = (3î + 3ĵ)t + 2ĵt² where t is in seconds and is in centimeters. At the same time, the vector position of a 5.65 g particle varies as r 31 – 2ît² – 6ĵt. r2 (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.80 s. cm = (b) Determine the linear momentum (in g· cm/s) of the system at t = 2.80 s. cm cm (c) Determine the velocity (in cm/s) of the center of mass at t = 2.80 s. cm g.cm/s net (d) Determine the acceleration (in cm/s²) of the center of mass at t = 2.80 s. cm/s² = = cm/s (e) Determine the net force (in µN) exerted on the two-particle system at t = 2.80 s. μN
A 1.82 kg particle has the xy coordinates (-1.78 m, 0.802 m), and a 4.12 kg particle has the xy coordinates (0.0660 m, -0.389 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 1.57 kg particle such that the center of mass of the three-particle system has the coordinates (-0.688 m, -0.956 m)?
A 4.30 kg particle has the xy coordinates (-1.39 m, 0.366 m), and a 2.68 kg particle has the xy coordinates (0.733 m, -0.487 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 4.88 kg particle such that the center of mass of the three- particle system has the coordinates (-0.680 m, -0.256 m)? (a) Number Units (b) Number i Units
In the figure, two identical containers of sugar are connected by a cord that passes over a frictionless pulley. The cord and pulley have negligible mass, each container and its sugar together have a mass of 620 g, the centers of the containers are separated by 55 mm, and the containers are held fixed at the same height. What is the horizontal distance between the center of container 1 and the center of mass of the two-container system (a) initially and (b) after 38 g of sugar is transferred from container 1 to container 2? After the transfer and after the containers are released, (c) what is the acceleration of the center of mass, taking up to be the positive direction? (a) Number i (b) Number i BY (c) Number i 2 Units Units Units < <
A 3 kg plank is 0.6 m in length and has its center of mass at the geometrical center. Masses of 1 kg an 3 kg are attached at opposite ends of the plank. Find the center of mass of the whole system. 1 kg 3 kg Where is the COM? 3 kg
b) Enter the mass (kg) of the 3D body: Enter the Moment (kg.m) of the 3D body about the y-axis: Enter the x-coordinate (m) of the centre of mass of the 3D body:
A cubical box, open at the top, with edge length 36 cm, is constructed from metal plate of uniform density and negligible thickness (see the figure). Find the z-coordinate of the center of mass of the box ( cm).
She lies on a plank on two scales: one at her head, the other at her feet. They are 1.71 meters apart. Her head scale reads 386 N, and her foot scale reads 398 N. How far from her feet is her center of mass?
ent Attempt in Progress In the figure, three uniform thin rods, each of length L = 48.0 cm, form an inverted U. The vertical rods each have a mass of 19.0 g; the horizontal rod has a mass of 57.0 g. What are (a) the x coordinate and (b) the y coordinate of the system's center of mass? (a) Number (b) Number Units Units X
A 4.30 kg particle has the xy coordinates (-1.39 m, 0.366 m), and a 2.68 kg particle has the xy coordinates (0.733 m, -0.487 m). Both Ilie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 4.88 kg particle such that the center of mass of the three- particle system has the coordinates (-0.680 m, -0.256 m)? (a) Number i Units (b) Number Units
Two sprinters leave the starting gate at the same time at the beginning of a straight track. The masses of the two sprinters are 58.5 kg and 66.5 kg. A few seconds later, the first sprinter is ahead of the second by a distance 5.1 m. How far ahead of the second sprinter is the center of mass of these two sprinters, in meters? If the speeds of the sprinters are 4.9 m/s and 2.2 m/s, respectively, how fast, in meters per second, is the center of mass moving? What is the momentum of the center of mass, in kilogram meters per second? How is the momentum of the center of mass related to the total momentum of the sprinters?