1.

A block of mass m kg is sliding from rest on an inclined rough surface of inclination theta as shown in the figure under the action of three forces, weight, normal and frictional force only. The magnitudeof forces are 20N, 40N and 50N not necessarily in the same order. The value of g is 10m//s^(2). Now match the physical quantity in List-I with their magnitude in List-II in SI unit and select the correct answer using the codes given below the lists: (assume that the coefficient of kinetic friction is less than 1).

Answer»

`{:(P, Q,R,S),(2,3,1,4):}`
`{:(P, Q,R,S),(1,4,2,3):}`
`{:(P, Q,R,S),(3,1,4,2):}`
`{:(P, Q,R,S),(2,3,4,1):}`

SOLUTION :
`N=MG cos theta = 50 XX (4)/(5)=40N`
`f_(X)=mu mg cos theta=0.5xx50xx(4)/(5)=20N`
`mg sin theta=50xx(3)/(5)=30N`
`a=(30-20)/(5)=2m//s^(2)`


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