1.

Block A is placed on cart B as shown in figure . If the coefficientof static and kinetic friction between the 20 kg block A and 100 kg cart Bare both essentially the same value of 0.5 : (g = 10 m//s^(2))

Answer»

the blocks A and B will have a common acceleration if P = 60 N
acceleration of CART B is `0.98 m//s^(2)` if P = 40 N
acceleration of cart B is greater than that of A is P = 60 N
the common acceleration of both the blocks is `0.667 m// s^(2) ` if P = 40 N

Solution :
`2P - f_(1)= 20 xx a"" ……(i) `
As `"" 2P = (120) xx a "" …..(ii) `
`a = (P)/(60)`
`2P - (5)/(10)xx 200 = 20 xx (P)/(60)`
`2P - (P)/(3) = 100`
`(5P)/(3) = 100`
`P = 60 N`


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