Physics, asked by Anonymous, 5 months ago

Calculate the work done by a body of mass 100kg moving with an acceleration of 2m/s² , covered a distance of 50m, in the direction of applied force. ​

Answers

Answered by SudharsanVanamali
1

Answer:

10000J

Explanation:

Given

m = 100kg and a = 2m/s² and s = 50m

Attachments:
Answered by Anonymous
12

AnSwer :

We have provided a body whose mass (m) is 100 kg and that body is moving with a Acceleration (a) of 2 m/s² and the distance (s) covered by that body is 50 m in the direction of applied force. 

In the question we are asked to find the work done by the body. To calculate work done we have to use given below formula :

:\implies \boxed{ \overline{ \underline{ \sf Work \:  done = Fs \cos(\theta)}}} \\

  • Work done is a scalar quantity which is measured as the dot product of force (F) and displacement (s).
  • SI unit of Work done is Joule (J)
  • Dimension formula of Work done = [M¹L²T‾²]

But here we are not given the value of force. So, first we need find the force (F) by using Newton's second law :

\longrightarrow\:\:\sf Force = mass \times Acceleration \\  \\  \\

\longrightarrow\:\:\sf Force =100\times 2 \\  \\  \\

\longrightarrow\:\: \underline{ \boxed{\frak{Force =200 \:N }}} \\  \\  \\

Now, we have find the force (F). So, now we can calculate the work done by the body by applying the formula of work done :

\dashrightarrow\:\:\sf Work  \: Done = Fs\cos(\theta) \\  \\  \\

\dashrightarrow\:\:\sf Work  \: Done = 200 \times 50 \times \cos( {0}^{ \circ} ) \\  \\  \\

\dashrightarrow\:\:\sf Work  \: Done = 10000 \times 1 \\  \\  \\

\dashrightarrow\:\: \underline{ \boxed{\frak{Work  \: Done = 10000 \:  J }}}\\  \\

Similar questions