Two blocks of mass M and m, are used to compress two different massless spring as shown. The left spring is compressed by 3 cm, while the right spring is compressed by an unknown amount.. The system is at rest, and all surfaces fixed and smooth. Which of the following statements are true?

Options

A. The force exerted on block of mass m by the right spring is 6 N to the left.
B. The force exerted on block of mass m by the right spring is impossible to determine.
C. The net force on block of mass m is zero
D. The normal force exerted by block of mass m on block of mass M is 6N.

Answer

A, C, D

Explanation

Let F be the force exerted by mass m on mass M.
FBD of mass M
`F=k_1x_1=2xx3=6N`
FBD of mass m
`k_2x_2=F=6N` to the left Hence the force exerted on block of mass m be the right spring `(k_2x_2)` is 6N to the left. From FBD, the normal reaction (F) between blocks is 6 N. As system is at rest, net force on block of mass m is zero.