(a) What objects constitute the system, andthrough what forces do they interact?
ID: 1682249 • Letter: #
Question
(a) What objects constitute the system, andthrough what forces do they interact?1
(b) What are the two points of interest?
2
(c) Find the energy stored in the spring when the mass is stretched6.40 cm from equilibrium and againwhen the mass passes through equilibrium after being released fromrest.
x = 6.40 3 J x = 0 4 J
(d) Write the conservation of energy equation for this situationand solve it for the speed of the mass as it passes equilibrium.(Do this on paper. Your instructor may ask you to turn in thiswork.)
(e) Substitute to obtain a numerical value.
5 m/s
(f) What is the speed at the halfway point?
6 m/s
(g) Why isn't it half the speed at equilibrium? (Do this on paper.Your instructor may ask you to turn in this work.) x = 6.40 3 J x = 0 4 J
Explanation / Answer
a) the only force acting on the mass is the spring forcethat makes the mass to oscillate freely on the table b) the velocity of the mass at the two extrems from theequilibrium is zero and the total energy at these two positionswill be spring potential energy c)the energy stored in the stretched string will be E = kx^2 / 2 k = force constant x = expansion of the spring fromequilibrium c)the energy stored in the stretched string will be E = kx^2 / 2 k = force constant x = expansion of the spring fromequilibrium d,e)from the energy conservation at equlibrium the totaolkinetic enrgy = potential energy mv^2 / 2 = kx^2 / 2 f,g) the speed of the mass at a point half waybetween the point v = (kx^2 / m) . mv^2 / 2 = kx^2 / 2 f,g) the speed of the mass at a point half waybetween the point v = (kx^2 / m) . v = (kx^2 / m) .Related Questions
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