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- Problem 2 ( ). A very light spring with spring constant 200 N/m hangs vertically the ceiling with equilbrium length Lo = 6 cm. When a 300 g mass is attached to the end spring, the mass-spring system extends to a new equilibrium length. Lo y = 0 (a) What is the length L of the spring when the mass-spring system is in equilibrium? If the mass is released from rest with the spring at its original equilibrium length (b) 6 cm, find the velocity of the mass when the spring has stretched to the length L you found in (a). 000000A small block of mass M = 850 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 3.5 N/m. The coefficient of static friction between the blocks is μ = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 1.5 cm and released.Randomized Variables M = 850 gD = 1.5 cmk = 3.5 N/m a) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s2. b) Write an equation for the largest spring constant kmax for which the upper block does not slip. c) Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m.An astronaut lands on a foreign world and wants to measure the local gravitational field strength where he lands. He takes a 0.31m length pendulum and holds it 4 degrees from the vertical. He then releases the pendulum and measures that it takes 7.85 seconds for the pendulum to swing through 10 cycles of swing. What is the gravitational field strength on the planet?
- Figure 15-47 53 SSM ILW In the overhead view of Fig. 15- 48, a long uniform rod of mass 0.600 kg is free to Problem 52. rotate in a horizontal plane about a vertical axis through its center. A spring with force constant k = 1850 N/m is connected horizontally be- k Wall tween one end of the rod and a Rotation axis fixed wall. When the rod is in equi- librium, it is parallel to the wall. What is the period of the small os- cillations that result when the rod is rotated slightly and released? Figure 15-48 Problem 53.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).A mass of .5kg is attached to a spring is displaced at a distance X from the resting position of the spring. At the initial time 0 the mass is released and its position= pt=.15meters x cos((pi/seconds)*t) What are thee two times and positions the magnitude of acceleration reaches at it's max Find the maximum acceleration