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- A new dwarf planet was observed recently in the asteroid belt between Mars and Jupiter. It has an orbital period of 7.93 E 7 s. The ratio from the law of harmonies is approximately 2.98 E−19 s2/m3. What is its average distance from the sun? 1. 2.40 E 11 m 2. 2.66 E 11 m 3. 2.77 E 11 m 4. 3.76 E 11 mThe displacement of an oscillating mass is given by x(t) = 30 cos( 5 t ). At time t = 0.5π s, what is the acceleration of the mass in m/s2?(Note that: π = 3.1415)3 1 3 4 5 t (s) What is the particle's acceleration at t = 4.5 s? 1 m/s^2 -1 m/s^2 -2 m/s^2 3 m/s^2 O 2 m/s^2 (s/w) A
- Given the period T=1.82 hours, find the frequency in Hz.If during strenuous exercise your heart rate is 146 beats per minute, determine the following. (a) the frequency of your heartbeat(b) the period of your heartbeatA mass mm at the end of a spring oscillates with a frequency of 0.86 HzHz . When an additional 780 gg mass is added to mm, the frequency is 0.63 HzHz .What is the value of m?
- An X-ray machine makes an image of the internal organs by exposing the human body to the electromagnetic radiation with the wavelength of 10^-10 m. We call this electromagnetic radiation X-rays. Assuming that the speed of light is 3x10^8 m/s, what is the frequency of oscillations of the X-rays? Express your answer in Hertz (Hz).The displacement of an oscillating mass is given by x(t) = 30 cos( 2 t ). At time t = 2π s, what is the velocity of the mass in m/s?