(a) the position of the block, (b) the work that has been done on the block by t
ID: 2243710 • Letter: #
Question
(a) the position of the block,
(b) the work that has been done on the block by the applied force, and
(c) the work that has been done on the block by the spring force? During the block's displacement, what are
(d) the block's position when its kinetic energy is maximum and
(e) the value of that maximum kinetic energy?
I can tell you the answer to (a) is not 3/50= 0.06.
liquidss The block in Fig. 7-10a lies on a horizontal frictionless surface, and the spring constant is . Initially, the spring is at its relaxed length and the block is stationary at position x = 0. Then an applied force with a constant magnitude of 3.0 N pulls the block in the positive direction of the x axis, stretching the spring until the block stops. When that stopping point is reached, the position of the block, the work that has been done on the block by the applied force, and the work that has been done on the block by the spring force? During the block's displacement, what are the block's position when its kinetic energy is maximum and the value of that maximum kinetic energy?Explanation / Answer
a) F*x = 0.5*k*x^2
therefore, x=2*F/k=2*3/50=0.12m
b) Work done by applied force = F*x = 3*x = 0.36 N/m.
c) Work done by spring force = -1/2 * k * x^2 = F*x = - 0.36N/m.
d) When block is at equilibrium position Kinetic energy is maximum, i.e; x=F/k=3/50=0.06 m.
balancing energy as F*x = 0.5*k*x^2 + K.E where x=0.06m.
therefore maximum kinetic energy is K.E= 3*0.06 - 0.5*50*0.0036 = 0.09 N/m.
e) and maximum velocity is v= (2*K.E/m)^0.5 where K.E is maximum kinetic energy and m is mass
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