Question

In: Physics

You are pulling a 4 kg object with 21 N at 60 degree with ground. What...

You are pulling a 4 kg object with 21 N at 60 degree with ground. What is acceleration?

Solutions

Expert Solution

Mass of object is

Pulling force is

Free body diagram is as shown

From the above diagram, resolve the pulling force into components.

i) horizontal component of force is

ii) vertical component of force is

Horizontal direction :

Apply newtons second law along horizontal direction,

Here is the acceleration in horizontal direction.

Substitute the known values,

  

Thus, the acceleration in horizontal direction is

Vertical Direction :

Weight of object is

here is acceleration due to gravity and its value is

Thus, the weight of object is

Since , there would not be any motion upwards. Thus its acceleration is zero in upward direction.

Hence the acceleration of object is only due to horizontal component and its value is


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