A block of mass `200kg` is set into motion on a frictionless , horizontal surface with the help of frictionless pulley and a rope system as shown in figure. What horizontal force `F` should be applied to produce in the block an acceleration of `1 m//s^(2)`?

Explanation

As shown in figure ,when force `F` is applied at the end of the string , the tension in the lower part of the
string is also `F` If `T` is the tension in string connecting the pulley and the block ,then
`T = 2F`
but `T = ma = (200) (1) = 200 N`
`2F = 200 N`
`F = 100 N`