Question

3. Abody of mass 20kg. is at rest on a horizontal surface
It is pulled by a force of 30N which makes an angle 60
with the horizontal. With what acceleration does the body
move on the surface?
1) 7.5 ms 2 2) 75 ms 2 3) 0.75 ms 2 4) 0.075 ms 2​

Answer 1

Answer:

(C) in the correct answer is question

Answer 2

Answer:

The body will move with an acceleration of 0.75 m/s² i.e.option(3).

Explanation:

As the force is acting at an angle of 60°. We will break the force into the horizontal and vertical components. The vertical component will balance the weight and the horizontal component will provide the motion. And we will get acceleration through the horizontal component of force. Which is given as,

$Fcos60\textdegree=ma$  (1)

From the question we have,

The mass of the body=20kg

The body is pulled by the force(F)=30N

Inserting entities in equation (1) we get;

$30\times cos60\textdegree=20\times a$

$30\times \frac{1}{2} =20\times a$

$a=\frac{15}{20}$

$a=0.75\ m/s^2$

The body will move with an acceleration of 0.75 m/s² i.e.option(3).

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