Work calculated by graphical integration. In Figure (b), an 8.0 kg block slides along a frictionless floor as a force acts on it, starting at x₁-0 and ending at x3 = 6.5 m. As the block moves, the magnitude and direction of the force vary according to the graph shown in Figure (a). For example, from x=0 tox-1 m, the force is positive (in the positive direction of the x axis) and increases in magnitude from 0 to 40 N. And from x = 4 m tox-5 m, the force is negative and increases in magnitude from 0 to 20 N. The block's kinetic energy at x₁ is K₁ = 280 J. What is the block's speed at (a) x₁ = 0. (b) x₂ = 4.0 m, and (c) x3-6.5 m? F(N) A -20 x (m) ZAAA... (6)

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Work calculated by graphical integration. In Figure (b), an 8.0 kg block slides along a frictionless floor as a force acts on it, starting at x₁ = 0
and ending at x3 = 6.5 m. As the block moves, the magnitude and direction of the force vary according to the graph shown in Figure (a).
For example, from x = 0 tox= 1 m, the force is positive (in the positive direction of the x axis) and increases in magnitude from 0 to 40
N. And from x = 4 m to x = 5 m, the force is negative and increases in magnitude from 0 to 20 N. The block's kinetic energy at x₁ is K₁ =
280 J. What is the block's speed at (a) x₁ = 0, (b) x₂ = 4.0 m, and (c) x3 = 6.5 m?
F(N)
40-
0
-20
2
(a)
(b)
6
6
x (m)
x (m)
Transcribed Image Text:Work calculated by graphical integration. In Figure (b), an 8.0 kg block slides along a frictionless floor as a force acts on it, starting at x₁ = 0 and ending at x3 = 6.5 m. As the block moves, the magnitude and direction of the force vary according to the graph shown in Figure (a). For example, from x = 0 tox= 1 m, the force is positive (in the positive direction of the x axis) and increases in magnitude from 0 to 40 N. And from x = 4 m to x = 5 m, the force is negative and increases in magnitude from 0 to 20 N. The block's kinetic energy at x₁ is K₁ = 280 J. What is the block's speed at (a) x₁ = 0, (b) x₂ = 4.0 m, and (c) x3 = 6.5 m? F(N) 40- 0 -20 2 (a) (b) 6 6 x (m) x (m)
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