Physics, 02.01.2020 06:31, gracethegreat1

What is her speed when she gets to the bottom of the slope ?

Answers: 3

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Answers

Her potential energy at the top of the slope = (mass) x (gravity) x (height)

Her kinetic energy at the bottom of the slope = (1/2) x (mass) x (speed)² .

The only possible way to handle this problem without making it
grossly complicated is to assume that the slope is frictionless.
Then ALL of the potential energy she had at the top shows up
as kinetic energy at the bottom, so we can write:

(1/2) x (mass) x (speed)² = (mass) x (gravity) x (height)

Divide each side
by (mass) :     (1/2) x (speed)² = (gravity) x (height)

Isn't that interesting !
The speed at the bottom only depends on the height of the hill
and what planet she's skiing on. Her mass/weight doesn't matter.
A beanpole and a tons-o'-fun will both have the same speed when
they reach the bottom !

   (1/2) x (speed)² = (gravity) x (height)

Multiply each side
by 2 :    speed² = (2) x (gravity) x (height)

Square root
each side:       Speed = √ (2 g h)

   = √ (19.6 h)

   = about 4.43 x √(height of the hill, meters)

answered: Guest

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)

answered: Guest

igneous rocks also form where plates converge. the subducting plate melts as it sinks into the crust of the earth, and the melt rises into the overriding plate forming volcanoes. metamorphic rocks are formed mainly in the lithosphere, wherever there is high pressure and high temperature. -woods

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