rk 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 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). example, from x = 0 to x = 1 m, the force is positive (in the positive direction of the x axis) and increases in magnitude from 0 to 40 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 = OJ. What is the block's speed at (a) x₁ = 0, (b) x2 = 4.0 m, and (c) x3 = 6.5 m? F (N) A 2 (a) 40- 0 -20 0 2 F (b) 6 6 x (m) x (m)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter5: Energy
Section: Chapter Questions
Problem 8P: A block of mass m = 2.50 kg is pushed a distance d = 2.20 m along a frictionless horizontal table by...
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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 to x = 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)
A
2
6
40
0
-20-
2
(b)
4
6
x (m)
77777 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 to x = 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) A 2 6 40 0 -20- 2 (b) 4 6 x (m) 77777 x (m)
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