Physics, 05.08.2019 16:10 isabellapayton2

Acrate of mass 10.6 kg is pulled up a rough incline with an initial speed of 1.51 m/s. the pulling force is 93.0 n parallel to the incline, which makes an angle of 20.1° with the horizontal. the coefficient of kinetic friction is 0.400, and the crate is pulled 5.08 m.
a) how much work is done by the gravitational force on the crate?
b) determine the increase in internal energy of the crate-incline system due friction.
c) how much work is done by the 93.0 n force on the crate?
d) what is the change in kinetic energy of the crate? e) what is the speed of the crate after being pulled 5.08 m?

Answers: 3

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Answers

a) $W_{g} = 181.482\,J$ , b) $W_{f} = 198.370\,J$ , c) $W_{F} = 472.44\,J$ , d) $\Delta K = 92.588\,J$ , e) $v_{f} \approx 4.444\,\frac{m}{s}$

Explanation:

a) The work done by the gravitational force on the crate is:

$W_{g} = (10.6\,kg) \cdot (9.807\,\frac{m}{s^{2}})\cdot (5.08\,m)\cdot \sin 20.1^{\textdegree}$

$W_{g} = 181.482\,J$

b) The increase in internal energy due to friction is:

$W_{f} = 0.4\cdot (10.6\,kg)\cdot (9.807\,\frac{m}{s^{2}} )\cdot (5.08\,m)\cdot \cos 20.1^{\textdegree}$

$W_{f} = 198.370\,J$

c) The work done by the external force is:

$W_{F} = (93\,N)\cdot (5.08\,m)$

$W_{F} = 472.44\,J$

d) The change in kinetic energy is obtained from the Principle of Energy Conservation and the Work-Energy Theorem:

$\Delta K = W_{F} - W_{f} - W_{g}$

$\Delta K = 472.44\,J -198.370\,J - 181.482\,J$

$\Delta K = 92.588\,J$

e) The final speed of the crate is:

$\Delta K = \frac{1}{2}\cdot m \cdot (v_{f}^{2}-v_{o}^{2})$

$v_{f}^{2} = v_{o}^{2} + \frac{2\cdot \Delta K}{m}$

$v_{f} = \sqrt{v_{o}^{2}+ \frac{2\cdot \Delta K}{m} }$

$v_{f} = \sqrt{\left(1.51\,\frac{m}{s}\right)^{2}+\frac{2\cdot (92.588\,J)}{10.6\,kg} }$

$v_{f} \approx 4.444\,\frac{m}{s}$

Answer from: Quest

carbon is found in all living things. carbon atoms move constantly through

living organisms, the oceans, the atmosphere, and the earth’s crust in what is

known as the carbon cycle. the directions taken by carbon atoms through this

cycle are very complicated and can take millions of years to make a full circle.

all animals, from humans to the dinosaurs are part of the carbon cycle. when

animals eat food, they get carbon in the form of carbohydrates and proteins.

in animals, oxygen combines with food in the cells to produce energy for daily

activity and then gives off carbon. the carbon combines with oxygen to form

carbon dioxide (co2) and is released back into the atmosphere as a waste

product when animals breathe and exhale.

from 145-65 million years ago, earth was much

hotter than today and covered with dense,

tropical swamp forests. the trees and other

plants were immense and

provided an endless supply of

food for the giant animals that

roamed the land. somewhere in

the air above one of these

forests, a lone carbon atom has joined

up with two oxygen atoms to form a molecule of co2.

the co2 molecule was sucked into the tiny holes (stomata) on the leaf of a

fern plant and joined with sunlight, chlorophyll and water to make food and

energy in the plant’s cells through photosynthesis. the oxygen (o2) from the

co2 molecule was sent back into the atmosphere; the carbon atom (c) was

detached and used to make a molecule of sugar.

if that carbon atom had been eaten instead, a totally

different situation would have developed. let’s say

that a giant plant-eating dinosaur (herbivore) ate the

fern for breakfast, and swallowed the carbon in the

fern in the form of carbohydrates and proteins. in

the process of respiration, oxygen combined with

the carbohydrates and proteins in the dinosaur’s cells

to provide energy for its daily activity.

Answer from: Quest

i dont know but

explanation:

whoever your teacher is, deserves a raise for using pokemon as an example

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Acrate of mass 10.6 kg is pulled up a rough incline with an initial speed of 1.51 m/s. the pulling f...

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