**Problem Statement**Suppose that in each of the diagrams below, the force is applied to a block of mass 5.3 kg at rest on a level, frictionless surface. Calculate the block's speed in each case after the work is done.**Diagrams and Analysis**Each of the diagrams represents a force \( F \) as a function of position \( x \).**(a) Diagram**- The graph shows a constant force of 10.0 N applied from \( x = 0 \) to \( x = 4.00 \) m, and then the force is reduced to 0 N from \( x = 4.00 \) to \( x = 8.00 \) m.**(b) Diagram**- The graph shows a linearly increasing force from 0 N to 20.0 N over the distance from \( x = 0 \) to \( x = 4.00 \) m. The force remains at 20.0 N from \( x = 4.00 \) to \( x = 8.00 \) m.**(c) Diagram**- The force starts at 20.0 N from \( x = 0 \) to \( x = 4.00 \) m. From \( x = 4.00 \) to \( x = 8.00 \) m, the force decreases linearly back to 0 N.**Tasks**For each diagram, calculate the block's velocity at \( x = 8.00 \) m using the work-energy principle. \[ \text{Work done} = \int F(x) \, dx = \Delta K \]\[ \Delta K = \frac{1}{2} m v^2 - \frac{1}{2} m u^2 \]Where \( m \) is the mass of the block, \( u \) is the initial velocity (0 m/s), and \( v \) is the final velocity. Calculate the speed of the block using the work done by the force.**Boxes Provided**- *Diagram (a):* _____ m/s- *Diagram (b):* _____ m/s- *Diagram (c):* _____ m/s

Suppose that in each of the diagrams below, the force is applied to a block of mass 5.31 kg at rest on a level, frictionless surface. Calculate the block's speed in each is done. (a) F(N) 20.0 10.0 x (m) 8.00 4.00 m/s (b) F(N) 20.0 10.0 x (m) 8.00 4.00 m/s (c) F(N) 20.0 10.0 4.00 m/s

Suppose that in each of the diagrams below, the force is applied to a block of mass 5.31 kg at rest on a level, frictionless surface. Calculate the block's speed in each is done. (a) F(N) 20.0 10.0 x (m) 8.00 4.00 m/s (b) F(N) 20.0 10.0 x (m) 8.00 4.00 m/s (c) F(N) 20.0 10.0 4.00 m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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