The velocity of the car at the bottom of the hill=19.8 m/s
mass= 100 kg
height= h=20 m
Velocity at the bottom=V
Using the law of conservation of energy
potential energy at top = kinetic energy at the bottom
m g h= 1/2 m v²
g h= 1/2 v²
9.8 (20)=1/2 V²
V=19.8 m/s
Thus the velocity of car at the bottom of hill=19.8 m/s
t1 = √2h1/g = √2*0.5/9,8 = 0.319 sec
t2 = √2h2/g = √2*1.0/9,8 = 0.451 sec
In which t = times for the vertical movement
h = height
g= gravity (we use standardized measurement of 9.8)
d1 = 1*0.319 = 0.319 m
d2 = 0.5*0.451 = 0.225 m
in which d = Horizontal distance
ratio
= di : d2
= 0.319 : 0.225
= 3.19 : 2.25
When you say "heavy", you're talking about the gravitational force
between that object and another object, so it depends on what the
"other object" is.
If the "other object" is, let's say, the sun, then the gravitational attraction
between the Earth and sun is about 80 times as much as the gravitational
attraction between the Moon and sun, because the Earth has about 80 times
the mass of the Moon.
But if, somehow, the weight you have in mind is the gravitational attraction
between the Earth and the Moon, then those forces are equal. The force
of gravity between two objects depends on the product of both masses,
and it's equal in both directions.
If that isn't clear to you, let me give you this additional fact that's guaranteed
to knock you even further off-balance:
Your weight on the Earth is determined by the product of
(your mass) times (the Earth's mass).
The Earth's weight on you is determined by the product of
(your mass) times (the Earth's mass).
Your weight on Earth is the same as the Earth's weight on you.
Would you like to prove it ?
-- Turn the bathroom scale upside-down, so that the step-pad
is on the floor.
-- Then step on it, so that you're standing on the bottom, which
is facing up.
-- If you placed a little mirror on the floor, so that you can read
the numbers, which are facing down toward the floor, you'll
read your own weight, even though with the scale upside-down,
you're weighing the Earth on you.
Answer:
The magnitude of the hiker’s displacement is 2.96 km
Explanation:
Let the initial displacement of the hiker, = x = 2km
the final displacement of the hiker, = y = 1.4 km
The resultant of the two vectors, According to Pythagorean theorem is the vector sum of the two vectors.
R' = x' + y'
Check the image uploaded for solution;
The universe has trillions of galaxies and counting. Astronomers give names to each galaxy base on its shape (e.i, Sombrero galaxy, Milkyway Galazy, ect,.).
Also, the size of the galaxy is taken into account and their color.
