A0.2-kg block is held in place by a force that results in a 0.10-m compression of a spring beneath the block. the spring constant is 1.0 × 102 n/m. assuming the mass of the spring is negligible compared to that of the block, to what maximum height would the block rise if the force were removed.?

h = 0.255 meters

Explanation:

It is given that,

Mass of the block, m = 0.2 kg

Compression in the spring, x = 0.1 m

Spring constant of the spring,

Let h is the maximum height reached by the block if the force were removed. Using the conservation of energy of the spring mass system as :

h = 0.255 meters

So, the maximum height reached by the block is 0.255 meters. Hence, this is the required solution.

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.