For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 kg of italian ham. the slices of ham are weighed on a plate of mass 0.400 kg placed atop a vertical spring of negligible mass and force constant of 200 n/m . the slices of ham are dropped on the plate all at the same time from a height of 0.250 m . they make a totally inelastic collision with the plate and set the scale into vertical simple harmonic motion (shm). you may assume that the collision time is extremely small. what is the amplitude of oscillation a of the scale after the slices of ham land on the plate? express your answer numerically in meters and take free-fall acceleration to be g= 9.80m/s^2what is the period of oscillation t of the scale? express your answer numerically in seconds.

Part a)

A = 0.0581 m

Part b)

T = 0.37 s

Explanation:

Slice is dropped on the plate from height 0.250 m

so the speed of the slice while it hit the plate is given as

here we know that

now from momentum conservation

from the above equation we have

Now the initial mean position while it will not hit the plate is given as

now when slice is placed on the plate then the new mean position will be given as

now we know that speed of SHM is given as

here we have

now from above formula

Part b)

Time period of scale is given as

-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

hope this