Question

two masses 3 kg and 5 kg are connected by a string. a force of 20 n is applied to the 3 kg mass. what is the tension on the string and the acceleration of the mass.

Answer 1

The tension on the string = 12 N and acceleration of the mass = 2.4 m/s² of the two masses .

Tension of a string :

The tension of  a given strand of string or rope is a result of the forces pulling on the rope from other  end. As a reminder, force = mass × acceleration. Considering , the rope is stretched tightly, any change in acceleration or mass in objects the rope is supporting will cause a change in tension within the rope.

Evaluating the numerical :

m₁ = 3kg

m₂ =  5kg

F = 20 N Applied on 3 kg

F - T = m₁a

T = m₂a                        ( T = tension )

F - m₂a = m₁a                ( a = acceleration )

F = ( m₁ + m₂ )a

20 N = ( 3 kg + 5 kg )a

a = 2.4 m/s²

When F is applied on 3 kg block

      T = m₂a

       T = 5 × 2.4

T = 12 N

What is acceleration explain?

Acceleration, is defined as  rate at which velocity changes with time, in terms of both speed and direction. some extent or an object moving in a straight line is accelerated if it speeds up or slows down. Motion on a circle is accelerated whether or not the speed is constant, because the direction is continually changing

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