x (cm) 5 t (s)
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A mass is vibrating at
the end of a spring of force constant
225 N/m. Figure
shows a graph of its position x as
a function of time t. (a) At what
times is the mass not moving?
(b) How much energy did this system
originally contain? (c) How
much energy did the system lose
between t = 1.0 s and t = 4.0 s?
Where did this energy go?
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- A spring has a spring constant of k = 20 N/m and a rest lengthof x0 = 0.1 m. One end of the spring is attached to a m = 1.0 kgblock. The other end is attached 1m above the ground.The block is pulled down to a height of 0.2 m above the groundand let go from rest (A). It is observed to be moving up when itreaches a height of 0.5 m above the ground (B. Calculate: Potential Energy of Gravity PEg when the block is 0.2m above the ground and 0.5m above the ground. B) Calculate Potential energy of the spring when the block is 0.2m above the ground and 0.5m above the ground. C)Calculate Kinetic energy when the block is 0.2m above the ground and 0.5m above the ground. D) Calculate the total energy in the system when the block is 0.2m above the ground and 0.5m above the ground.A 0.2 kg mass a Hached to a Spring with Spring Coustan't Surface. The Speed of the peint lo cn qw ay from Hhe position.Its maximum kanetic 'energy is. kg attached to aspring with 20 Nhn is V. brating 'on'a Smooth' horizo ntal mass is 2 m/s at a equibibrium 10 CimA student attempts to fire a small steel sphere (mass·250 g into a cup from a springloaded cannon affixed to a table. The cup is located 74.7 cm from the table's edge. If compressing the spring by 2.2 cm results in the sphere travelling 82.2 em, by what distance should the spring be compressed to project the sphere into the cup?
- A 0.20kg mass on a horizontal spring is pulled back 2cm and released. Ifinstead, a 0.10g mass was used in this same experiment, the total energy would: A) doubleB) remain the sameC) be half as largeA block of mass n - 1.05 kg is attached to a spring with tor onstant 165.0 N/m. The bieck is free to move on a frictionless, horizontal surface as shown in the figure. he biock is telenal fre tei aftn the sjy is stretted a distance A 0.14 m to the right. Whar is the pental energy of the spring/ldnk systern U.25 s alter roleasing the black?The torce reguired to compress a non-standard spring as a qunction as. 04 displacement isgiven by the equation F(X) = -Asin (bx)t Kx, where A= 1L0N, b= 1l rad|m, and k- 58 NIm.0 IE M Part A:Enter a general equation in terms 07 the given I iiar 1iaNariables 7or the work requircol to comeress this spring7om positionx, txa: part Bi calculate the work done injouicr as the spring Is come ressed prmi itt bot Woe1=? Arom x=0t X,=38 cm. joulEJ asthe Spring Is Partc: calculate the Workdone in compressed 7rom x1=38cm To xg=69 cm