Question

An object with mass M is attached to the

Answer 1

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

Answer 2

Work done by the tension is ⁵/₄ MgL

$\texttt{ }$

Further explanation

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

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

Ek = kinetic energy ( J )

m = mass of object ( kg )

v = speed of object ( m/s )

$\texttt{ }$

$\boxed {W = F d}$

W = work done ( J )

F = force ( N )

d = displacement ( m )

Let us now tackle the problem!

$\texttt{ }$

Given:

acceleration of the object = a = g/4

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

distance traveled = d = L

Asked:

work done by the tension = W = ?

Solution:

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

$\Sigma F = Ma$

$T - w = Ma$

$T = w + Ma$

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

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

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

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

$\texttt{ }$

Conclusion :

Work done by the tension is ⁵/₄ MgL

$\texttt{ }$

Learn more

• 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

$\texttt{ }$

Answer details

Grade: High School

Subject: Mathematics

Chapter: Energy