A farmer was cutting mangoes from a tree with a long stick of length 2 m. He cut almost all mangoes at the lower branches of tree and wanted to cut the mangoes at higher branches of it. To do this he attached another stick to the top of the first stick so that the overall length increases by 1 m. If the distance between his hands position is the same as before at 40 cm and weight of each mango is 5 N, then calculate the change in mechanical advantage of stick to do this, for the same effort of 20 N.

Options

A. Mechanical advantage increases by 0.26
B. Mechanical advantage decreases by 0.0066
C. Mechanical increases by 0.0066
D. Mechanical advantage decreases by 1.87

Answer

B

Explanation

Decrease in mechanical advantage of the stick = M.A. of 3 m stick - M.A. of 2 m stick
`=(40)/(200)-(40)/(300)=0.0066`
Hence, the correct option is (b).