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(1I) A swimmer is capable of swimming 0.60 $\mathrm{m} / \mathrm{s}$ in stillwater. (a) If she aims her body directly across a 55 -m-wideriver whose current is 0.50 $\mathrm{m} / \mathrm{s}$ , how far downstream (from apoint opposite her starting point) will she land? (b) Howlong will it take her to reach the other side?

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a) 45.8 $\mathrm{m}$b) $92 \mathrm{s}$

Physics 101 Mechanics

Chapter 3

Kinematics in Two or Three Dimensions; Vectors

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

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In physics, a rigid body is an object that is not deformed by the stress of external forces. The term "rigid body" is used in the context of classical mechanics, where it refers to a body that has no degrees of freedom and is completely described by its position and the forces applied to it. A rigid body is a special case of a solid body, and is one type of spatial body. The term "rigid body" is also used in the context of continuum mechanics, where it refers to a solid body that is deformed by external forces, but does not change in volume. In continuum mechanics, a rigid body is a continuous body that has no internal degrees of freedom. The term "rigid body" is also used in the context of quantum mechanics, where it refers to a body that cannot be squeezed into a smaller volume without changing its shape.

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In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

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(II) A swimmer is capable …

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So let's draw a triangle here. Uh, this would represent angle theta. Ah, This factor here would be the swimmer relative to the water. Aah! This would be the swimmer relative to the shore, And this would be the velocity of the water relative to the shore. Now, it would be cumbersome a bit to, uh, write the sub script every time. So we're going to say that this would be one. Uh, this would be too. And this would simply be three. So we can say that velocity of velocity vectors of one equals velocity vectors of two plus velocity vector sub three. Uh, this would equal, um, this velocity of the swimming relative to the shore. So 0.60 meters per second I hat plus 0.50 meters per second J hat at this point for part A. We can say that since the swimmer starts from the origin, the distance covered in the X in my directions will be proportional to the speeds in those directions so we can say Delta X divided by delta y equals the X T divided by V y t cancel out the teas this week will be extradited, baby why we can say that about the ex divided by 55 meters within the equal to point 50 meters per second, divided by 500.60 meters per second and Delta X is equaling 46 meters. So this would be your answer for a party and then for part D f apart. Be rather, we can find the time Ah by the displacement in the UAE direction equal and B y t Let's divide by t so t would equal delta y divided by the subway. This would equal 55 meters divided by 550.60 meters per second, giving us approximately 92 seconds. This would be our final answer for part B. That is the end of the solution. Thank you for watching.

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