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Keith_Richards [23]
3 years ago
13

A 3.00-kg crate slides down a ramp. the ramp is 1.00 m in length and inclined at an angle of 30.08 as shown in the figure. The c

rate starts from rest at the top, experiences a constant friction force of magnitude 5.00 N, and continues to move a short distance on the horizontal floor after it leaves the ramp.
Physics
1 answer:
Dominik [7]3 years ago
4 0

Answer:

2.55 m/s

Explanation:

A 3.00-kg crate slides down a ramp. the ramp is 1.00 m in length and inclined at an angle of 30° as shown in the figure. The crate starts from rest at the top, experiences a constant friction force of magnitude 5.00 N, and continues to move a short distance on the horizontal floor after it leaves the ramp. Use energy methods to determine the speed of the crate at the bottom of the ramp.

Solution:

The work done by friction is given as:

W_f=F_f\Delta S\\\\Where\ F_f\ is\ the \ frictional\ force=-5N(the\ negative \ sign\ because\ it\\acts\ opposite\ to \ direction\ of\ motion),\Delta S=slope\ length=1\ m\\\\W_f=F_f\Delta S=-5\ N*1\ m=-5J

The work done by gravity is:

W_g=F_g*s*cos(\theta)\\\\F_g=force\ due\ to\ gravity=mass*acceleration\ due\ to\ gravity=3\ kg*9.81\\m/s^2, s=1\ m, \theta=angle\ between\ force\ and\ displacement=90-30=60^o\\\\W_g=3\ kg*9.81\ m/s^2*1\ m*cos(60)=14.72\ J\\\\The\ Kinetic\ energy(KE)=W_f+W_g=14.72\ J-5\ J=9.72\ J\\\\Also, KE=\frac{1}{2} mv^2\\\\9.72=\frac{1}{2} (3)v^2\\\\v=\sqrt{\frac{2*9.72}{3} } =2.55\ m/s

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wlad13 [49]

Answer:

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Explanation:

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The electric charge of the electron its

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Taking the unit vector \hat{i} pointing towards the east, the electric field will be:

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So, the force will be:

\vec{F} =  \ - \ 1.602 \ 10 ^{-19} \ C \ * \ 3400 \ \frac{N}{C} \ \hat{i}

\vec{F} =  \ - \ 5446.8 \ 10 ^{-19} \ N \ \hat{i}

\vec{F} =  \ - \ 5.4468 \ 10 ^{-16} \ N \ \hat{i}

\vec{F} =  \ - \ 5.4468 \ 10 ^{-16} \ N \ \hat{i}

\vec{F} =  \ - \ 5.4468 \ 10 ^{-16} \ N \ \hat{i}

So, the force its \ 5.4468 \ 10 ^{-16} N to the west.

5 0
3 years ago
How many groups are in the modern periodic table?<br><br> 12<br> 18<br> 22<br> 24
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4 years ago
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At a certain point in space there is a potential of 400 v. what is the potential energy of a 2-μc charge at that point in space?
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The potential energy of a 2-μc charge at that point in space is 8*10^{-4} joules.

Given,

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<h3>Potential energy</h3>

The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics. The gravitational potential energy of an object is based on its mass and the distance from the centre of mass of another object. Other common types of potential energy include the elastic potential energy of an extended spring and the electric potential energy of an electric charge in an electric field. The joule, denoted by the sign J, is the SI's definition of an energy unit.

The vectors that are described as gradients of a particular scalar function known as potential can be used to represent these forces, also known as conservative forces, at any location in space.

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2 years ago
1 mole of air undergoes a Carnot cycle. The hot reservoir is at 800 oC and the cold reservoir is at 25 oC. The pressure ranges b
BabaBlast [244]

Answer:

The net work produced is 30.37 KJ

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Explanation:

For the net work produced, we have the formula:

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Th = higher temperature = 800° C + 273 = 1073 k

Tc = lower temperature = 25° C + 273 = 298 k

Sh = specific entropy at higher temperature

Sc = specific entropy at lower temperature

M = molar mass of air

Using, ideal gas table to find entropy. The table is attached.

therefore,

Work = (1073 k - 298 k)(3.0485235 KJ/kg.k - 1.69528 KJ/kg.k)(0.02896 kg)

Work = (775 k)(1.3532435 KJ/kg.k)(0.02896 kg)

<u>Work = 30.37 KJ</u>

Now, for the efficiency (n), we have a formula:

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A horizontal spring on a frictionless surface has a spring constant of 10 N/m with a mass of 2kg attached to the end of the spri
Alex

Answer:

0.356 times the mass pass through equilibrium per second.

Explanation:

Given that,

Spring constant = 10 N/m

Mass = 2 kg

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We need to calculate the frequency

Using formula of frequency

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Hence, 0.356 times the mass pass through equilibrium per second.

4 0
3 years ago
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