Chapter 6, Problem 5D

Two very long line charges are set up along lines that areparallel to the z-axis, so they set up Electric fields strictly in the xy plane. One goes throughthe x-axis at x = −0.40 m and has charge a density λ1 = +12.0 μC/m, the other goesthrough the x-axis at x = +0.40 m has charge density λ2 = −8.0 μC/m.A.  Find the Electric field at point A: (0.40, 0.80) (distances in meters). Give answersin unit vector notation and draw a graph of the x-y plane with the E-fields you justfound.B.  Find a point on the x-axis at which the total E-field is 0.

In order to increase the amount of exercise in her daily routine, Tara decides to walk up the four flights of stairs to her car instead of taking the elevator. Each of the steps she takes are 18.0 cm high, and there are 12 steps per flight. (a) If Tara has a mass of 77.0 kg, what is the change in the gravitational potential energy of the Tara-Earth system (in J) when she reaches her car? ] (b) If the human body burns 1.5 Calories (6.28 x 10³ J) for each ten steps climbed, how much energy (in J) has Tara burned during her climb? ] (c) How does the energy she burned compare to the change in the gravitational potential energy of the system? Eburned Δυ

A 4.40 kg steel ball is dropped onto a copper plate from a height of 10.0 m. If the ball leaves a dent 2.75 mm deep, what is the average force exerted by the plate on the ball during the impact? N

A block of mass m = 7.00 kg is released from rest from point and slides on the frictionless track shown in the figure below. (Assume h₂ = 7.80 m.) a m ha 3.20 m 2.00 m i (a) Determine the block's speed at points ® and point B ©. m/s m/s point (b) Determine the net work done by the gravitational force on the block as it moves from point J A to point

A 1.10 x 10²-g particle is released from rest at point A on the inside of a smooth hemispherical bowl of radius R R B 2R/3 (a) Calculate its gravitational potential energy at A relative to B. ] (b) Calculate its kinetic energy at B. ] (c) Calculate its speed at B. m/s (d) Calculate its potential energy at C relative to B. J (e) Calculate its kinetic energy at C. ] = 26.5 cm (figure below).

Report on the percentage errors (with uncertainty) between the value of 'k' from the F vs displacement plot and each of the values of 'k' from the period measurements. Please comment on the goodness of the results.   Value of k = Spring constant k = 50.00 N/m Each of the values of k from period measurements:  Six Measurements of time for 5 osccilations: t1 = 7.76s, t2=8.00s, t3=7.40s, t4=7.00s, t5=6.90s, t6=7.10s (t1-tavg)^2 = (7.76-7.36)^2 = 0.16%(t2-tavg)^2 =(8.00-7.36)^2 = 0.4096%(t3-tavg)^2 =(7.40-7.36)^2 = 0.0016%(t4-tavg)^2 =(7.00-7.36)^2 = 0.1296%(t5-tavg)^2 =(6.90-7.36)^2 = 0.2116%(t6-tavg)^2 =(7.10-7.36)^2 = 0.0676

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Based on the two periods (from hand timed and ultrasonic sensor), find the value of 'k' they suggest from the physics and from the value of the hanging mass. hand time period is 1.472s and ultrasonic sensor time period is 1.44s

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