Answer: 11.1cm
Explanation:
Object distance (u) = 32cm
Image distance(v) = 17cm
Focal length(f) =?
Lens formular:
1/f = 1/u + 1/v
1/f = 1/32 + 1/17
Taking the L. C. M of 17 and 32
1/f = (17 + 32) / 544
1/f = 49/544
Taking the reciprocal
f = 544/49
f = 11.1 cm
Therefore, Focal length of the lens is 11.1cm
Answer:
Paleontologists have argued for a long time that the demise of the dinosaurs was caused by climatic alterations associated with slow changes in the positions of continents and seas resulting from plate tectonics. Off and on throughout the Cretaceous (the last period of the Mesozoic era, during which dinosaurs flourished), large shallow seas covered extensive areas of the continents. Data from diverse sources, including geochemical evidence preserved in seafloor sediments, indicate that the Late Cretaceous climate was milder than today's. The days were not too hot, nor the nights too cold. The summers were not too warm, nor the winters too frigid. The shallow seas on the continents probably buffered the temperature of the nearby air, keeping it relatively constant.
Answer:
Work done = 13605.44
Explanation:
Data provided in the question:
For elongation of 2.1 cm (0.021 m) work done by the spring is 3.0 J
The relation between Energy (U) and the elongation (s) is given as:
U =
................(1)
where,
k is the spring constant
on substituting the valeus in the above equation, we get
3.0 = ![\frac{1}{2}k\times0.021^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dk%5Ctimes0.021%5E2)
or
k = 13605.44 N/m
now
for the elongation x = 2.1 + 4.1 = 6.2 cm = 0.062 m
using the equation 1, we have
U = ![\frac{1}{2}\times13605.44\times (0.062)^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes13605.44%5Ctimes%20%280.062%29%5E2)
or
U = 26.149 J
Also,
Work done = change in energy
or
W = 26.149 - 3.0 = 23.149 J
Because the information cant be out of the investigation