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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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