Explanation Romeo and boat moves towards the shore while Juliet moves away from the shore. There is no extrenal force. Hence system is conserved. So the centre of mass of the system does not change . Write the expression for the initial centre of mass. x C M = m 1 x 1 + m 2 x 2 + m 3 x 3 m 1 + m 2 + m 3 (I) Here m 1 is mass of Romeo, x 1 is the distance of romeo from shore, m 2 is the mass of juliet, x 2 is the distance of juliet from shore, m 3 is the mass of boat and x 3 is the distance of boat from shore. Substitute d + x 2 for x 1 , d − x 2 for x 2 and d for x 3 in equation (I). x C M i = m 1 ( d + x 2 ) + m 2 ( d − x 2 ) + m 3 d m 1 + m 2 + m 3 (II) Here d is the distance from centre of boat from shore and x is the gap between them, x C M i is the initial centre of mass. Write the expression for the final centre of mass. x C M f = m 1 ( d + x 2 − x ' ) + m 2 ( d − ( x ' − x 2 ) ) + m 3 ( d − x ' ) m 1 + m 2 + m 3 (III) Here x ' is the distance boat covers due to Juliet and x C M f is the final centre of mass. As system is conserved and centre of mass does not change. Compare initial and final centre of mass

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

9th Edition

ISBN: 9781305932302

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 9, Problem 53P

To determine

The distance boat moves towards shore.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9, Problem 52P

Chapter 9, Problem 54P

Students have asked these similar questions

A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following. (a) the time interval during which the ball is in motion 2R (b) the ball's speed at the peak of its path v= Rg 2 √ sin 26, V 3 (c) the initial vertical component of its velocity Rg sin ei sin 20 (d) its initial speed Rg √ sin 20 × (e) the angle 6, expressed in terms of arctan of a fraction. 1 (f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height. hmax R2 (g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range. Xmax R√3 2

An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce. 8 (a) Assuming the ball is always thrown with the same initial speed, at what angle & should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 35.0° with no bounce (green path)? 24 (b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw. Cone-bounce no-bounce 0.940

A rocket is launched at an angle of 60.0° above the horizontal with an initial speed of 97 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/s². At this time, its engines fail and the rocket proceeds to move as a projectile. (a) Find the maximum altitude reached by the rocket. 1445.46 Your response differs from the correct answer by more than 10%. Double check your calculations. m (b) Find its total time of flight. 36.16 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. s (c) Find its horizontal range. 1753.12 × Your response differs from the correct answer by more than 10%. Double check your calculations. m

Chapter 9 Solutions

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

Ch. 9.1 - Two objects have equal kinetic energies. How do...Ch. 9.1 - Your physical education teacher throws a baseball...Ch. 9.3 - Two objects are at rest on a frictionless surface....Ch. 9.3 - Rank an automobile dashboard, seat belt, and air...Ch. 9.4 - Prob. 9.5QQ Ch. 9.4 - A table-tennis ball is thrown at a stationary...Ch. 9.6 - A baseball bat of uniform density is cut at the...Ch. 9.7 - A cruise ship is moving at constant speed through...Ch. 9 - Prob. 1OQ Ch. 9 - Prob. 2OQ

Ch. 9 - Prob. 3OQ Ch. 9 - Prob. 4OQ Ch. 9 - Prob. 5OQ Ch. 9 - Prob. 6OQ Ch. 9 - The momentum of an object is increased by a factor...Ch. 9 - The kinetic energy of an object is increased by a...Ch. 9 - If two particles have equal momenta, are their...Ch. 9 - Prob. 10OQ Ch. 9 - Prob. 11OQ Ch. 9 - Two particles of different mass start from rest....Ch. 9 - Prob. 13OQ Ch. 9 - A basketball is tossed up into the air, falls...Ch. 9 - Prob. 15OQ Ch. 9 - Prob. 16OQ Ch. 9 - Prob. 17OQ Ch. 9 - Prob. 18OQ Ch. 9 - Prob. 1CQ Ch. 9 - Prob. 2CQ Ch. 9 - Prob. 3CQ Ch. 9 - While in motion, a pitched baseball carries...Ch. 9 - You are standing perfectly still and then take a...Ch. 9 - Prob. 6CQ Ch. 9 - Two students hold a large bed sheet vertically...Ch. 9 - A juggler juggles three balls in a continuous...Ch. 9 - Prob. 9CQ Ch. 9 - Does a larger net force exerted on an object...Ch. 9 - Does a larger net force always produce a larger...Ch. 9 - A bomb, initially at rest, explodes into several...Ch. 9 - A particle of mass m moves with momentum of...Ch. 9 - Prob. 2P Ch. 9 - Prob. 3P Ch. 9 - A 3.00-kg particle has a velocity of...Ch. 9 - A baseball approaches home plate at a speed of...Ch. 9 - Prob. 6P Ch. 9 - Prob. 7P Ch. 9 - A 65.0-kg boy and his 40.0-kg sister, both wearing...Ch. 9 - Prob. 9P Ch. 9 - When you jump straight up as high as you can, what...Ch. 9 - Two blocks of masses m and 3m are placed on a...Ch. 9 - Prob. 12P Ch. 9 - An estimated forcetime curve for a baseball struck...Ch. 9 - Prob. 14P Ch. 9 - A glider of mass m is free to slide along a...Ch. 9 - Prob. 16P Ch. 9 - The front 1.20 m of a 1 400-kg car Ls designed as...Ch. 9 - A tennis player receives a shot with the ball...Ch. 9 - The magnitude of the net force exerted in the x...Ch. 9 - Prob. 20P Ch. 9 - Water falls without splashing at a rate of 0.250...Ch. 9 - A 1 200-kg car traveling initially at vCi = 25.0...Ch. 9 - Prob. 23P Ch. 9 - A car of mass m moving at a speed v1 collides and...Ch. 9 - A railroad car of mass 2.50 104 kg is moving with...Ch. 9 - Prob. 26P Ch. 9 - Prob. 27P Ch. 9 - A 7.00-g bullet, when fired from a gun into a...Ch. 9 - A tennis ball of mass 57.0 g is held just above a...Ch. 9 - Prob. 30P Ch. 9 - Prob. 31P Ch. 9 - Prob. 32P Ch. 9 - Prob. 33P Ch. 9 - (a) Three carts of masses m1 = 4.00 kg, m2 = 10.0...Ch. 9 - Prob. 35P Ch. 9 - Prob. 36P Ch. 9 - Prob. 37P Ch. 9 - Two shuffleboard disks of equal mass, one orange...Ch. 9 - Prob. 39P Ch. 9 - A proton, moving with a velocity of vii, collides...Ch. 9 - Prob. 41P Ch. 9 - A 90.0-kg fullback running east with a speed of...Ch. 9 - Prob. 43P Ch. 9 - Prob. 44P Ch. 9 - Prob. 45P Ch. 9 - Prob. 46P Ch. 9 - Explorers in the jungle find an ancient monument...Ch. 9 - A uniform piece of sheet metal is shaped as shown...Ch. 9 - A rod of length 30.0 cm has linear density (mass...Ch. 9 - Prob. 50P Ch. 9 - Prob. 51P Ch. 9 - Consider a system of two particles in the xy...Ch. 9 - Prob. 53P Ch. 9 - The vector position of a 3.50-g particle moving in...Ch. 9 - Prob. 55P Ch. 9 - Prob. 56P Ch. 9 - Prob. 57P Ch. 9 - Prob. 58P Ch. 9 - Prob. 59P Ch. 9 - Prob. 60P Ch. 9 - A garden hose is held as shown in Figure P9.32....Ch. 9 - Prob. 62P Ch. 9 - Prob. 63P Ch. 9 - A rocket has total mass Mi = 360 kg, including...Ch. 9 - A ball of mass m is thrown straight up into the...Ch. 9 - Prob. 66AP Ch. 9 - A 3.00-kg steel ball strikes a wall with a speed...Ch. 9 - (a) Figure P9.36 shows three points in the...Ch. 9 - Review. A 60.0-kg person running at an initial...Ch. 9 - A cannon is rigidly attached to a carriage, which...Ch. 9 - A 1.25-kg wooden block rests on a table over a...Ch. 9 - A wooden block of mass M rests on a table over a...Ch. 9 - Prob. 73AP Ch. 9 - Prob. 74AP Ch. 9 - Two gliders are set in motion on a horizontal air...Ch. 9 - Why is the following situation impossible? An...Ch. 9 - Prob. 77AP Ch. 9 - Prob. 78AP Ch. 9 - Prob. 79AP Ch. 9 - A small block of mass m1 = 0.500 kg is released...Ch. 9 - Review. A bullet of mass m = 8.00 g is fired into...Ch. 9 - Review. A bullet of mass m is fired into a block...Ch. 9 - A 0.500-kg sphere moving with a velocity expressed...Ch. 9 - Prob. 84AP Ch. 9 - Prob. 85AP Ch. 9 - Prob. 86AP Ch. 9 - Review. A light spring of force constant 3.85 N/m...Ch. 9 - Prob. 88AP Ch. 9 - Prob. 89AP Ch. 9 - Prob. 90AP Ch. 9 - Prob. 91AP Ch. 9 - Prob. 92CP Ch. 9 - Prob. 93CP Ch. 9 - Sand from a stationary hopper falls onto a moving...Ch. 9 - On a horizontal air track, a glider of mass m...Ch. 9 - Prob. 96CP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The distance boat moves towards shore.

Solution Summary: The author explains that the distance boat moves towards shore is 0.700, and the centre of mass of the system is conserved.

Videos

The distance boat moves towards shore.

Want to see the full answer?

Chapter 9 Solutions