Jimmy has caught two fish in Yellow Creek. He has tied the...

Jimmy has caught two fish in Yellow Creek. He has tied the line holding the $3.0 \mathrm{kg}$ steelbead trout to the tail of the $1.5 \mathrm{kg}$ carp. To show the fish to a friend, he lifts upward on the carp with a force of $60 \mathrm{N}$. a. Draw separate free-body diagrams for the trout and the carp. Label all forces, then use dashed lines to connect actionl reaction pairs or forces that act as if they are a pair. b. Rank in order, from largest to smallest, the magnitudes of all the forces shown on your free-body diagrams. Bxplain your reasoning.

Jimmy has caught two fish in Yellow Creek. He has tied the line holding the $3.0 \mathrm{kg}$ steelbead trout to the tail of the $1.5 \mathrm{kg}$ carp. To show the fish to a friend, he lifts upward on the carp with a force of $60 \mathrm{N}$.
a. Draw separate free-body diagrams for the trout and the carp. Label all forces, then use dashed lines to connect actionl reaction pairs or forces that act as if they are a pair.
b. Rank in order, from largest to smallest, the magnitudes of all the forces shown on your free-body diagrams. Bxplain your reasoning.

Key Concepts

Gravitational Force (Weight)

Gravitational force, often referred to as weight, is the force exerted on an object due to gravity. It is calculated by multiplying the mass of the object by the acceleration due to gravity and always acts downward, playing a crucial role in free-body diagrams and in determining the net force acting on each object.

Force Ranking and Comparison

Force ranking involves comparing different forces acting on objects to understand which are dominant in the system's dynamics. This analysis requires identifying all forces, considering action-reaction pairings, and applying Newton's laws to determine which forces are larger or smaller, a key step in solving problems involving multiple interacting forces.

Tension in a Connecting Medium

Tension refers to the force that is transmitted along a string, rope, or cable when it is pulled tight by forces acting from opposite ends. In problems involving connected objects, like two fish linked together, the tension is the same along the connection (assuming a massless, inextensible connector) and is essential in determining the net force on each object.

Newton’s Third Law

Newton’s Third Law states that for every action there is an equal and opposite reaction. This principle is crucial when analyzing systems where forces are paired, such as the force the hand applies upward on one object and the corresponding reaction forces on that object, as well as the interaction forces between connected bodies.

Free-Body Diagram

A free-body diagram is a simplified drawing that shows all the individual forces acting on an object. It helps in visualizing the forces such as weight, tension, and any applied forces, making it easier to set up the equations of motion when analyzing the behavior of the object.

Transcript

00:01 So jimmy has caught two fish in yellow creek.

00:03 He tied them, he has tied the line holding the three kilogram steel bed trouts to the tail of a one and a half kilogram carp.

00:14 He lifts it upward.

00:16 It's on the carp with the force of 60 newtons.

00:20 So we want to draw reaction, action reaction, free body diagrams.

00:27 So here is the carp.

00:30 And here is the carp.

00:31 And here is.

00:31 The trout.

00:33 So on the carp you're going to have the tension pulling upwards.

00:41 You're going to have the force due to gravity pulling downwards.

00:52 And then you're going to have another tension.

00:57 So for the trout, you're going to have the tension pulling up.

01:03 So the action reaction is with this tension so this tension is the same as that tension you're also going to have another force pulling the trout downwards and that is the force also due to gravity of the trout so starting with newton's second law you have f net is equal to the mass times the acceleration so f is equal to the mass of the cart plus the mass of the trout times the acceleration.

01:46 T2 is pulling up.

01:50 The mass of the carp is pulling down.

01:54 The mass of the trout is also pulling down.

01:57 So those are going to be subtracted.

02:01 So we can do a little bit of rearranging and solve for the acceleration...

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