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Excel in math and science
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Introduction to Forces
They say you can't go anywhere without forces, and they are right. See if you understand the bread and butter of Newtonian mechanics.
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
Concept Quizzes
Two boats \(A\) and \(B,\) connected with a string, are floating on a calm lake. The mass of \(A\) and \(B\) are \( 100 \text{ kg} \) and \( 150 \text{ kg}, \) respectively, and the distance between them is \( 30 \text{ m}. \) If the string is pulled from boat \(A\) with a constant force and the two boats meet in \( 20 \text{ seconds}, \) what is the distance that boat A moves?
Suppose that there is no friction whatsoever.
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
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A \( 72 \text{ kg} \) package lying on the ground is connected to a massless rope that runs over a frictionless tree limb. If a \( 40 \text{ kg} \) monkey climbs up the other side of the rope, what is the magnitude of the minimum acceleration at which the monkey should climb for the package to be lifted off the ground?
The gravitational acceleration is \( g= 10 \text{ m/s}^2 . \)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
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Find \(m_A/m_B\).
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
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Used and loved by 4 million people
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For Newton’s third law of motion to hold, what must be the state of motion of the two objects involved?
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
Used and loved by 4 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
You are holding onto a \(100~\mbox{kg}\) basket of fish hanging over the side of a boat. What is the minimum force in Newtons you need to exert to keep the basket from falling back down into the ocean?
Details and assumptions
- The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).