Arestoring force of magnitude f acts on a system with a displacement of magnitude x. in which of the following cases will the system undergo simple harmonic motion?
a) f x
b) f
c) f sin x
d) f x2
e) f 1/x

option A

Explanation:

given,

restoring force = F

magnitude of displacement = x

the system undergo simple harmonic motion.

simple harmonic motion follows Hooke's law

now.

Hooke's law state that force is directly proportional to the displacement.

hence, the correct answer is option A

b) returns freshwater to the earth.

c) returns freshwater to the earth.c) occurs after condensation.

d) returns freshwater to the earth.c) occurs after condensation.d) roughly equal to the amount of evaporation.

happy to

pls mark as brainliest.

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.