An object is attached to a spring making the spring 10 cm long when it's in 1US equilibrium position. If the object is pulled down an additional 5 cm below its equilibrium position and then released, the length of the spring over time is modeled by l(t) = 10+ Cos D.
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- AsapAn object has a mass of 0.5 kg is placed in front of a compressed spring. When the spring was released, the 0.5kg object collides with another object with mass 1.5kg and they move together as one unit. Find the velocity of boxes if the spring constant is 40N/m, and spring. was initially compressed by 20cm. Answer with text and/or attachments:It compresses the spring 5.3 cm before coming to a stop.
- You have a spring witk k+388 N/m When no extrenal forceis applied on it, the length of the spring is 4.5 cm When you exert F+ 8.5 N of force to stretch this spring,what is the length of the stretched spring in the unit of cm?A mass of 1.2kg is attached to a spring with a constant 12N/m. it is then displaced to a maximum point of 2m. How much time does it take for the block to travel to the point x=1.5m? answer in secondshass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position. (a) Find the position x of the mass at the timest= 1/12, 1/8, 1/6, 11/4, and 91/32 s. (Use g = 32 ft/s? for the acceleration due to gravity.) x(n/12) = ft x(n/8) = ft x(п/6) — ft x(п/4) — ft x(9n/32) ft (b) What is the velocity of the mass when t = 3t/16 s? ft/s In which direction is the mass heading at this instant? O downward O upward (c) At what times does the mass pass through the equilibrium position? п 3D 0, 1, 2, ..
- Using the spring force, F = -kx, calculate: a) The work done by an external force stretching the spring a distance L away from the equilibrium length. b) At a stretch length L, how much potential energy is stored in the spring? If a mass m is attached to the spring and released from a stretch length L, what is the maximum velocity c) of the mass? d) At what x coordinate does this maximum velocity occur?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 accelerationNeeds Complete typed solution with 100 % accuracy.