23,349 views
44 votes
44 votes
4. An object of mass 30 kg is being pulled ona friction less horizontal surface by means ofa string that makes an angle of 20 degree with thehorizontal. If the tension in the string is 50 Ncalculate the acceleration of the object. (1 point)A. O 1.566 m/s²B. 0.607 m/sC. O 0.57 m/s ²D. O1.667 m/sE. 09.8 m/s ²

4. An object of mass 30 kg is being pulled ona friction less horizontal surface by-example-1
User NMrt
by
3.1k points

1 Answer

24 votes
24 votes

A. 1.566 m/s²

Step-by-step explanation

Step 1

free body diagram

F.B.D

Step 2

Newton's second law says that when a constant force acts on a massive body, it causes it to accelerate,it is represented in the formula


\begin{gathered} F=m*a \\ where\text{ m is the mass} \\ a\text{ is the acceleration} \end{gathered}

so,for the x-axis we have


\begin{gathered} tcos\theta=ma \\ replace \\ 50*cos20=30kg*a \\ 46.98=30a \\ divide\text{ both sides by 30} \\ (46.98)/(30)=(30a)/(30) \\ 1.566(m)/(s^2)=a \end{gathered}

therefore, the answer is

A. 1.566 m/s²

I hope this helps you

4. An object of mass 30 kg is being pulled ona friction less horizontal surface by-example-1
4. An object of mass 30 kg is being pulled ona friction less horizontal surface by-example-2
User BustedSanta
by
3.1k points