A wedge (inclination `theta = 30^(@)` from horizontal) is moving with an acceleration `a = 4 m//s^(2)` vertically up as shown in figure. What is acceleration of block of mass 1 kg w.r.t & reaction by wedge on block respectively. All surface are smooth. Choose correct pair : `(g = 10 m//s^(2))`

Options

A. `7 m//s^(2),7 sqrt(3)N`
B. `5 m//s^(2),5 sqrt(3)N`
C. `4.9 m//s^(2),4.9 sqrt(3)N`
D. `10 m//s^(2),10 sqrt(3)N`

Answer

A

Explanation

In the frame of wedge acceleration
`= (g+a) sin theta = 7 m//s_(2)`
Normal reaction `m(g +a) cos theta = 7 sqrt(3) N`.