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3 years ago

A 5.0-kg bag of groceries is tossed onto a table at 2.0 m/s and slides to a stop in 1.6 s .

Physics

1 answer:

son4ous [18]3 years ago

5 0

Answer:

-6.3 N

Explanation:

The equation we need to use is:

$F \Delta t = \Delta (mv)$

where

F is the force of friction, that slows down the bag

$\Delta t$ is the time of the motion

m is the mass of the bag

v is the speed of the bag

Since the mass of the bag does not change, we can rewrite the equation as

$F \Delta t= m \Delta v$

where we have:

$\Delta t=1.6 s\\m=5.0 kg\\\Delta v=-2.0 m/s$

Substituting and re-arranging the equation, we can find the force of friction:

$F=\frac{m\Delta v}{\Delta t}=\frac{(5.0 kg)(-2.0 m/s)}{1.6 s}=-6.3 N$

where the negative sign means that the force is in the opposite direction to the motion of the bag.

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Delicious77 [7]

The maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

<h3>What is simple harmonic motion?</h3>

Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.

Simple Harmonic Motion

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Data;

ω = π/2

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Solving this

$\frac{dx}{dt} = -3.5 X \frac{\pi }{2} cos (\frac{x\pi t}{2}+\frac{5\pi }{4} )$

Let's calculate the maximum velocity.

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This is only possible when cos θ = -1

The maximum kinetic energy is

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The maximum potential energy is 7.56J

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ME = K.E + P.E

ME = 7.56J

From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

Learn more on simple harmonic motion here;

brainly.com/question/15556430

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