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3 years ago

An object with mass M is attached to the

Physics

2 answers:

zysi [14]3 years ago

8 0

Answer:

W = 5/4 Mgℓ

Explanation:

Sum of forces:

∑F = ma

T − Mg = M (g/4)

T = 5/4 Mg

Work = force × distance

W = Tℓ

W = 5/4 Mgℓ

olchik [2.2K]3 years ago

8 0

Work done by the tension is ⁵/₄ MgL

$\texttt{ }$

<h3>Further explanation</h3>

Let's recall the Kinetic Energy and Work formula as follows:

$\boxed {E_k = \frac{1}{2}mv^2 }$

<em>Ek = kinetic energy ( J )</em>

<em>m = mass of object ( kg )</em>

<em>v = speed of object ( m/s )</em>

$\texttt{ }$

$\boxed {W = F d}$

<em>F = force ( N )</em>

<em>d = displacement ( m )</em>

Let us now tackle the problem!

$\texttt{ }$

<u>Given:</u>

acceleration of the object = a = g/4

initial speed of the object = u = 0 m/s

distance traveled = d = L

<u>Asked:</u>

work done by the tension = W = ?

<u>Solution:</u>

We will use Newton's Law of Motion to solve this problem:

$\Sigma F = Ma$

$T - w = Ma$

$T = w + Ma$

$T = Mg + M\frac{g}{4}$

$T = \frac{5}{4}Mg$

$T L = \frac{5}{4} MgL$

$W = \frac{5}{4} MgL$

$\texttt{ }$

<h3>Conclusion :</h3>

Work done by the tension is ⁵/₄ MgL

$\texttt{ }$

<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437

Kinetic Energy : brainly.com/question/692781

Acceleration : brainly.com/question/2283922

The Speed of Car : brainly.com/question/568302

$\texttt{ }$

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Energy

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Nastasia [14]

Answer:

It will take 15.55s for the police car to pass the SUV

Explanation:

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Since both cars will travel the same distance x, we can equal both formulas and solve for t:

$vt = v_{0}t+\frac{at^2}{2}\\\\ 16\frac{m}{s}t =30\frac{m}{s}t-\frac{1.8\frac{m}{s^{2}} t^{2}}{2}$

We simplify the fraction present and rearrange for our formula so that it equals 0:

$0.9\frac{m}{s^{2}} t^{2}-14\frac{m}{s}t=0 \\\\ t(0.9\frac{m}{s^{2}}t-14\frac{m}{s})=0$

In the very last step we factored a common factor t. There is two possible solutions to the equation at $t=0$ and:

$0.9\frac{m}{s^{2}}t-14\frac{m}{s}=0 \\\\ 0.9\frac{m}{s^{2}}t =14\frac{m}{s} \\\\ t =\frac{14\frac{m}{s}}{0.9\frac{m}{s^{2}}}=15.56s$

What this means is that during the displacement of the police car and SUV, there will be two moments in time where they will be next to each other; at $t=0 s$ (when the SUV passed the police car) and $t=15.56s$ (when the police car catches up to the SUV)

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3 years ago

What is the density of an object that has a mass of 30 g and a volume of 20cm cubed/ to the third power?

Ksenya-84 [330]

Answer:

d= 1.5 g/cm3

Explanation:

datos

m= 30g

v= 20cm3

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formula

d= m / v

solución

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2 years ago

Kelly is riding a bicycle, moves with an initial velocity of 5 m/s. Ten seconds later, she is moving at 15 m/s. What is her acce

sladkih [1.3K]

Answer:

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Explanation:

The following information is given in the question

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3 years ago

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cupoosta [38]

Answer:

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$\vec p$ - Vector momentum, measured in kilogram-meters per second.

$m$ - Mass of the particle, measured in kilograms.

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$\|\vec p \| = \sqrt{p_{x}^{2}+p_{y}^{2}}$ (2)

$\theta = \tan^{-1}\left(\frac{p_{y}}{p_{x}} \right)$ (3)

Where:

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$\theta$ - Direction of momentum, measured in sexagesimal degrees.

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