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you push a box along the floor against a constant force of friction. when you push with a horizontal force of 75 n , the acceleration of the box is 0.52 m/s2 ; when you increase the force to 82 n , the acceleration is 0.75 m/s2 .find the mass of the box.



Answer :

According to the given statement is the mass of the box is m = 23.33 kg.

What is acceleration ?

Acceleration the rate at which the speed and direction of a moving object vary over time. A point or item moving straight ahead is accelerated when it accelerates or decelerates. Regardless of whether the speed remains constant, motion on a circle accelerates so because direction is always shifting.

Briefing:

Force = 75 N

Acceleration = 0.52 m/s²

Pushing force = 82 N

Change acceleration = 0.82 m/s²

To calculate the mass of the box

Using balance equation

N - f = ma

Put the value in the equation

75- f = m * 0.52  ...............(1)

82 - f= m * 0.82  ..............(2)

From equation (I) and (II)

82 - 75 = m(0.82 - 0.52)

7 = m  * 0.30

m = 7/0.30

m = 23.33 kg

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