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A bead with mass 1.8 ' 10$2 kg is moving along a wire in

Chapter , Problem 6

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QUESTION:

A bead with mass 1.8 ' 10$2 kg is moving along a wire in the positive direction of an x axis. Beginning at time t ! 0, when the bead passes through x ! 0 with speed 12 m/s, a constant force acts on the bead. Figure 7-24 indicates the beads position at these four times: t0 ! 0, t1 ! 1.0 s, t2 ! 2.0 s, and t3 ! 3.0 s. The bead momentarily stops at t ! 3.0 s. What is the kinetic energy of the bead at t ! 10 s?

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QUESTION:

A bead with mass 1.8 ' 10$2 kg is moving along a wire in the positive direction of an x axis. Beginning at time t ! 0, when the bead passes through x ! 0 with speed 12 m/s, a constant force acts on the bead. Figure 7-24 indicates the beads position at these four times: t0 ! 0, t1 ! 1.0 s, t2 ! 2.0 s, and t3 ! 3.0 s. The bead momentarily stops at t ! 3.0 s. What is the kinetic energy of the bead at t ! 10 s?

ANSWER:

Step 1 of 3Given,The mass of the bead,The initial velocity,From the kinematics equation,The final velocity is zero at time, .That is,Implies,

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