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Does a body weight 20 N. How much force is required to move it vertically upward with an acceleration of 2 $ms^{-2}$? (24 N)

Difficulty: Easy

Solution:         

Weight = w = 20 N
                        Acceleration = a = 2 $ms ^{-2}$
                        Vertically upward force (Tension) = T = ?
                        Fnet  = T – w 
Or                     ma = T – mg
Or                     ma + mg = T
Or                     T = m (a + g) ……………………(i)
Now,                  m = $\frac{w}{g}$ 
                          m =$\frac{20}{10}$= 2 kg


Putting the value of m in Eq.(i), we get
                         T = 2 (2 + 10)
                            = 2(12)
                         T = 24 N

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