A spring is 17.5 cm long when it is lying on a table. One end is then attached to a hook and the other end is pulled by a force that increases to 27.5 N, causing the spring to stretch to a length of 19.3 cm. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Work done on a spring scale.

What is the force constant of this spring?
Express your answer in newtons per meter.

1527.76 N/m

Explanation:

The Spring equation is k*x where k is the spring constant and x is the change in distance in meters. So you set 27.5=K*.018, (.018 comes from .193-.175). You then divide 27.5 by .018 to get the spring constant

c) up

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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.