# (a) How much will a spring that has a force constant of 40.0 N/m be stretched by an object with a mass of 0.500 kg when hung motionless from the spring? (b) Calculate the decrease in gravitational potential energy of the 0.500-kg object when it descends this distance. (c) Part of this gravitational energy goes into the spring. Calculate the energy stored in the spring by this stretch, and compare it with the gravitational potential energy. Explain where the rest of the energy might go.

Explanation:

For equilibrium

mg = kx ( restoring force of spring where k is force constant and x is stretch in it)

x = mg / k

= .5 x 9.8 / 40

= .1225 m

= 12.25 cm

b ) decrease in potential energy

= mgh

= .5 x 9.8 x .1225

= 0.6 J

c ) Energy stored in spring

= 1/2 k x²

= .5 x 40 x ( .1225 )²

= .3 J

It is 50% of gravitational potential energy lost

Rest of the energy might have lost in heating up the spring etc.

## Related Questions

The isotope of an atom containing 40 protons and 51 neutrons suddenly has 2 neutrons added to it. What isotope is created?

The isotope of an atom containing 40 protons and 51 neutrons suddenly has 2 neutrons added to it
That is X-93 so it will be
Zirconium-93
hope it helps

When gasoline is burned in a car engine,_____ energy is converted into _____ energy.

Chemical Energy is converted into Mechanical Energy.

When gasoline is burned in a car engine, chemical energy is converted into mechanical energy.

Explanation: When gasoline is burned in a car engine,chemical energy is converted into mechanical energy.

PLEASE HELP!!!!!! the independent variable is associated mainly with? A. control and experimental groupsB. the treatment that the researcher controls directly C. the result of experiment D. the hypothesis

The independent variable is associated mainly with the treatment that the researcher controls directly, therefore the correct answer is option B.

What is the scientific claim?

Scientific claims are statements made in science based on an experiment.

These Scientific claims are backed by experimental data and their true results obtained from scientific investigation and experimentation.

The parameter that the researcher modifies or manipulates in an inquiry is known as the independent variable. The measured response is the primary outcome. The outcome variable depends on the change in the independent variable, to put it another way.

The correct response is option B since the independent variable is mostly linked to the intervention that the researcher directly controls.

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The correct answer is B. The independent variable refers to what is being tested by a researcher in an experiment

Hope this helps

A rock of mass m = 0.0450 kg is attached to one end of a string and is whirled around in a horizontal circle. If the radius of the circle is 0.580 m and the angular speed is 2.34 rad/s. What is the tension in the string?

Tension, T = 0.1429 N

Explanation:

Given that,

Mass of the rock, m = 0.0450 kg

Radius of the circle, r = 0.580 m

Angular speed,

The tension in the string is balanced by the centripetal force acting on it. It is given by :

Since,

T = 0.1429 N

So, the tension in the string is 0.1429 N. Hence, this is the required solution.