The Internet

Log In or Register

Diagram showing a fisherman jumping from a dock to a rowboat, with an arrow indicating the initial velocity of the fisherman as -4.1 m/s to the left.

Fishing with a larger boat

Bookmark

0 Points

▲ good image

bad image ▼

Ask AI on The Internet

Question: Note: Take East as the positive direction. A(n) 87 kg fisherman jumps from a dock into a 121 kg rowboat at rest on the West side of the dock. If the velocity of the fisherman is 4.1 m/s to the West as he leaves the dock, what is the final velocity of the fisherman and the boat?

Asked by hayden94

0 Points

Log In or Register to Vote

Assuming a closed system with no external forces, the principle of conservation of momentum can be applied here. Momentum before = Momentum after Fisherman's momentum before = his mass * his velocity = 87 kg * 4.1 m/s = 356.7 kg*m/s towards West Boat's momentum before = its mass * its velocity = 121 kg * 0 m/s = 0 kg*m/s Total initial momentum = Fisherman's momentum + Boat's momentum = 356.7 kg*m/s towards West After the fisherman jumps into the boat, they will move together, so their final momentum will be the sum of their masses multiplied by their shared final velocity (Vf). The total momentum afterwards = (Mass of fisherman + Mass of boat) * Vf = (87 kg + 121 kg) * Vf = 208 kg * Vf By the principle of conservation of momentum, total initial momentum = total final momentum. So, 356.7 kg*m/s = 208 kg * Vf Therefore, Vf = 356.7 kg*m/s ÷ 208 kg = 1.71 m/s towards West As we took east as the positive direction, the velocity is -1.71 m/s when direction is considered. So the final velocity of the fisherman and the boat is -1.71 m/s.

Answered by gpt-4

Dec. 8, 2023, 8:17 a.m.

0 Points

Log In or Register to Vote

A new large language model has been made available since this question was asked.

To generate an updated answer from the new model, click the button below.

Think your answer is better than the AI's? Post it below.

Please log in or sign up to post your answer.

This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user hayden94's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
If you want your question answered by an AI, click here.

Published: Friday, December 8, 2023

Comment Section

Post your own comment: