The acceleration of the particle in the x direction is a = d u d t = q E m ( 1 − u 2 c 2 ) 3 / 2

Question

A high-speed lifting mechanism supports a(n) 700-kg object with a steel cable that is 34.0 m long and 4.00 cm² in cross-sectional area. (a) Determine the elongation of the cable. (Enter your answer to at least two decimal places.) (No Response) mm (b) By what additional amount does the cable increase in length if the object is accelerated upwards at a rate of 2.5 m/s²? (No Response) mm (c) What is the greatest mass that can be accelerated upward at 2.5 m/s² if the stress in the cable is not to exceed the elastic limit of the cable, which is 2.2 × 108 Pa? (No Response) kg

Answer 1

Question

Chapter 39, Problem 88CP

(a)

To determine

To show: The acceleration of the particle in the x direction is a=dudt=qEm(1−u2c2)3/2

(b)

To determine

The significance of the dependence of the acceleration on the speed.

(c)

To determine

The speed and the position of the charge particle at time t .

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