A horizontal spring attached to a wall has a force constantof 850 N/m. A block of mass 1.00 kg is attached to thespring and oscillates freely on a horizontal, frictionless surfaceas in Figure 5.22. The initial goal of this problem is to find thevelocity at the equilibrium point after the block is released.(a) What objects constitute the system, and through whatforces do they interact? (b) What are the two points of interest?(c) Find the energy stored in the spring when the mass isstretched 6.00 cm from equilibrium and again when the masspasses through equilibrium after being released from rest.(d) Write the conservation of energy equation for this situationand solve it for the speed of the mass as it passes equilibrium.Substitute to obtain a numerical value. (e) What isthe speed at the halfway point? Why isn’t it half the speed atequilibrium?
A horizontal spring attached to a wall has a force constant
of 850 N/m. A block of mass 1.00 kg is attached to the
spring and oscillates freely on a horizontal, frictionless surface
as in Figure 5.22. The initial goal of this problem is to find the
velocity at the equilibrium point after the block is released.
(a) What objects constitute the system, and through what
forces do they interact? (b) What are the two points of interest?
(c) Find the energy stored in the spring when the mass is
stretched 6.00 cm from equilibrium and again when the mass
passes through equilibrium after being released from rest.
(d) Write the conservation of energy equation for this situation
and solve it for the speed of the mass as it passes equilibrium.
Substitute to obtain a numerical value. (e) What is
the speed at the halfway point? Why isn’t it half the speed at
equilibrium?
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