Ciara is swinging a 0.015 kg ball tied to a string around her head in a flat, horizontal circle. The radius of the circle is 0.70 m. The ball is going 7.33 m/s. If the speed is tripled, what happens to its centripetal force?
a)The new centripetal force is 1/3 what it was
b)The new centripetal force is 9 times more
c)The new centripetal force is 1/9 what it was
d)The new centripetal force is 3 times more

b)The new centripetal force is 9 times more

Explanation:

The formula to apply in this case is that of tension force on a spring which is equal to the centripetal force.

T= mv²/r i

where T is the tension on the spring

v= velocity/speed of the ball = 7.33 m/s

m= mass of the ball , 0.015 kg

r= radius of circle , 0.70 m

Use the values in the formula as;

T= {0.015 * 7.33² } / 0.70

T= 0.8059335 / 0.70

T= 1.15 N i

If the speed is tripled then;

v= 21.99 m/s

T= 0.015 * 21.99² / 0.70

T= 10.36 N ii

Check the changes by dividing i and ii as ;

10.36 / 1.15 =  9.01

This is 9 times more hence if the speed is tripled ,the new centripetal force is 9 times more.

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

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