You have just purchased an antique pendulum clock. when you set the pendulum to be of length 100 cm, the clock is 20 % slower than it should be. calculate the length to which you have to set the pendulum for the clock to measure time correctly. (10 marks (b) a mass on a spring oscillates in a simple harmonic motion. at the time t */4s, the diplacement of the mass is i = v3 m, its velocity is v= -1/3 ms and its acceleration is a = -1/3v3) ms? . calculate from these data the amplitude, the angular frequency and the initial phase of this harmonic motion. [20 marks) (c) consider transverse oscillations of a uniform string of length 1.25 m and mass 0.04 kg which is placed under a tension 20 n between its fixed end points. (i) present the equation of motion of this system, (ii) derive the expression for its normal mode frequencies, and (iii) calculate the frequency of its fundamental mode.

scientific laws are the result of testing theories and proving them to be facts.

c because the news are a source of information of things that happen on the daily and shows evidence about that particular topic

there are no contact forces mentioned on the list of choices that you've provided.

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

hope this !