Acat chases a mouse across a 0.63 m high
table. the mouse steps out of the way, and
the cat slides off the table and strikes the floor
2.4 m from the edge of the table.
the acceleration of gravity is 9.81 m/s
2
.
what was the cat’s speed when it slid off
the table?
answer in units of m/s.

6.7 m/s

Explanation:

In the vertical direction:

y₀ = 0.63 m

y = 0 m

v₀ᵧ = 0 m/s

aᵧ = -9.81 m/s²

In the horizontal direction:

x₀ = 0 m

x = 2.4 m

aₓ = 0 m/s²

Find: v₀ₓ

First, find the time:

y = y₀ + v₀ᵧ t + ½ aᵧt²

0 = 0.63 + (0) t + ½ (-9.81) t²

t = 0.358

Now, find the velocity:

x = x₀ + v₀ₓ t + ½ aₓt²

2.4 = 0 + v₀ₓ (0.358) + ½ (0) (0.358)²

v₀ₓ = 6.70

Rounded to two significant figures, the cat's velocity when it slides off the table is 6.7 m/s.

freezing

deposition

condensation

explanation;

melting also called fusion is the process where solid becomes liquid, sublimation is the process where solid becomes gaseous without first changing to liquid, deposition involves change from gaseous to solid state, freezing involves change from liquid to solid, boiling or evaporation involves change of liquid to gaseous state, while condensation is the change from gaseous state to liquid state.

endothermic reactions involves absorption of heat from the surroundings or the environment while exothermic reactions involves loss of heat energy to the surroundings.

in this case, sublimation, evaporation and melting are endothermic reactions (gain energy from the environment) while, freezing, deposition and condensation are exothermic (loss of energy to the surroundings) reactions.

-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