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. 571.43m/s
2. 142.9m and 342.9m
Explanation:
1.Take the difference in time.
1.2-0.7=0.7 seconds
Take the distance between them and divide with differnce in time.
400÷0.7=571.43 seconds.
2.Take the time of the two men and divide by two.
0.5÷2= 0.25 secs
1.2÷2= 0.6 secs
multiply each with the velocity.
0.25×571.43=142.9m
0.6×571.43=342.9m
This question involves the concepts of average kinetic energy and velocity.
Complete question: Calculate the root mean square velocity of the nitrogen molecules, at 25°C, in meters per second (m/s). Do not include the unit of measure in your answer.
The root mean square velocity of the nitrogen molecule at 25°C is "727.66 m/s".
The average kinetic energy of gas molecules is given by the following formula:
Also,
Comparing both equations we get:
where,
v = root men square velocity = ?
K = Boltzman's constant = 1.38 x 10⁻²³ J/k
T = absolute temperature = 25°C + 273 = 298 k
m = mass of nitrogen molecule = 2.33 x 10⁻²⁶ kg
Therefore,
<u>v = 727.66 m/s</u>
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