An object of mass m1 = 8.40 kg is in equilibrium while connected to a light spring of constant k = 100 N/m that is fastened to a wall as shown in Figure P15.52a. A second object, m2 = 7.00 kg, is slowly pushed up against m1, compressing the spring by the amount A = 0.240 m, (see Fig. P15.52b). The system is then released and both objects start moving to the right on the frictionless surface. Figure P15.52 (a) When m1 reaches the equilibrium point, m2 loses contact with m1 (see Fig. P15.52c) and moves to the right with speed v. Determine the value of v. m/s (b) How far apart are the objects when the spring is fully stretched for the first time (D in Fig. P15.52d)? (Suggestion: First determine the period of oscillation and the amplitude of the m1-spring system after m2 loses contact with m1.) cm
An object of mass m1 = 8.40 kg is in equilibrium while connected to a light spring of constant k = 100 N/m that is fastened to a wall as shown in Figure P15.52a. A second object, m2 = 7.00 kg, is slowly pushed up against m1, compressing the spring by the amount A = 0.240 m, (see Fig. P15.52b). The system is then released and both objects start moving to the right on the frictionless surface.
Figure P15.52
(a) When m1 reaches the equilibrium point,
m2 loses contact with m1
(see Fig. P15.52c) and moves to the right with speed v.
Determine the value of v.
m/s
(b) How far apart are the objects when the spring is fully
stretched for the first time (D in Fig. P15.52d)?
(Suggestion: First determine the period of oscillation and the
amplitude of the m1-spring system after
m2 loses contact with
m1.)
cm
Given data:
Mass of the first object is
Mass of the second object is
Spring constant is
Compression of spring by the amount is
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