A rock is dropped from a 100-m-high cliff. How long do the first 50 meters and the second 50 meters take to fall?
(a) The first 50 meters:
h1 = 0.5 x a x t12
50 m = 0.5% x 9.8% x t12
t1 = 3.19 s
50 meter fall time equals 3.19 seconds.
(a) Counting all 100 meters:
h2 = 0.5 x a x t22
100 m = 0.5% x 9.8% x t22
t2 = 4.52 s
Time to fall 50 meters is equal to t2 - t1 = 1.33 s.
<h3>What is meter?</h3>
The Earth's circumference is around 40000 km, according to the original definition of the metre in 1793, which was one ten-millionth of the distance between the equator and the North Pole on a great circle. The metre was redefined in 1799 using a model metre bar (the actual bar used was changed in 1889). The definition of the metre in terms of a certain number of wavelengths of a specific krypton-86 emission line was made in 1960.
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Answer:
1: 6.18 cm
2: 52.5609 degrees
Explanation:
We have the pendulum speed at the origin, and in that moment, all energy is kinetic, so we can calculate the pendulum energy by:
Ec = 0.5*m*v^2 = 0.5*0.015*1.1^2 = 0.0091 J
Now with that energy, we can calculate the height the pendulum will reach, as in that moment, the kinetic energy is totally converted to gravitational potencial energy:
Eg = m*g*h = 0.0091
0.015 * 9.81 * h = 0.0091
h = 0.0091 / (0.015 * 9.81 ) = 0.0618 m = 6.18 cm
Looking at the image attached, we can see that the pendulum will form a triangle, and one of the cathetus will be the length of the pendulum minus the height it went up, and the hypotenusa will be the pendulum length.
So, we know that the sine of the angle will be the division between the opposite cathetus and the hypotenusa:
sin(angle) = (30-6.18)/30 = 23.82/30 = 0.794 -> angle = 52.5609 degrees
A scenario a red ball might appear black is when there is a shadow in front of it.or when the ball is in a dark place.
Answer:
D. increases by a factor of 4.
Explanation:
General equation of SHM
Lets taken the general equation of the displacement given as
x = A sinω t
A=Amplitude ,t=time ,ω=natural frequency
We know that speed V
V= A ω cosωt
The mechanical energy of spring mass system

K=Spring constant
Now when Amplitude A become 2 times then the mechanical energy will become 4 times.
Therefore the answer is D.
Flextime means you must work where we say, but you have some flexibility to decide when you want to do it.
Flexplace means you must work when we say, but you have some flexibility to decide where you want to do it.