A block of mass m is in contact with the cart `C` as shown in The coefficient of static friction between the block and the cart is `mu` The acceleration a of the cart that will prevent the block from falling satisfies
.

Options

A. `agt(mg)/(mu)`
B. `agt(g)/(mum`
C. `agt(g)/(mu)`
D. `alt(g)/(mu)`

Answer

c

Explanation

When acceleration of the cart is a then as shown in
`R =ma`
The block will not fall till force of friction
`F gemg`
`mu R gemg`
`mu ma ge mg` or`a ge (g)/(mu)`
.