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A painter (mass 67 kg) is walking along a trestle, consisting of a uniform plank (mass 19.0 kg, length 6.660 m) balanced on two sawhorses. Each sawhorse is placed 1.13 m from an end of the plank. A paint bucket (mass 3.67 kg, diameter 24 cm) is placed as close as possible to the right-hand edge of the plank while still having the whole bucket in contact with the plank.
(a) How close to the right-hand edge of the plank can the painter walk before tipping the plank and spilling the paint?
(b) How close to the left-hand edge can the same painter walk before causing the plank to tip?
Point charges of 26 µC and 48 µC are placed 0.500 meter apart. Find the magnitude and direction of the electric field halfway between them
Water at 20-C flows down an 80-m-wide parking lot at a constant depth of 5 mm. The slope of the parking lot is 0.0002. Estimate the flow rate and the maximum shear stress. Is a laminar flow assumption reasonable?
Suzie (of mass 68 kg) is roller-blading down the sidewalk going 48 miles per hour. What is Suzie's average acceleration
A 30.0-kg object has a drag force with a magnitude proportional to the square of its speed. What is its terminal velocity
Calculate the terminal velocity for a pollen grain falling through the air using the drag force equation. Assume the pollen grain has a diameter of 7 µm and a density of 0.7 g/cm3
A speedboat moving at 30 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of negative 3.5 m/s^2 by reducing the throttle. How long does it take boat to reach the buoy.
A ball is shot from the ground into the air. At a height of 9.60 m, the velocity is observed to be v = (7.70 m/s) i + (7.00 m/s) j. What is the maximum height that the ball will rise
A spring with a spring constant 15.0 N/m hangs from the ceiling. A 300g ball is attached to the spring and allowed to come to rest, What is the amplitude f oscillations after 2.0 minutes
In a certain time, light travels 4.78 km in a vacuum. During the same time, light travels only 2.37 km in a liquid. What is the refractive index of the liquid
a wheel is spinning clockwise at a 10.0 revolutions per second at t 0. due to friction in the bearings supporting the
Beats of frequency 4Hz are heard when a tuning fork of frequency 1000Hz and a vibrating wire are sounded together. What is frequency of the wire.
a generator at hoover dam can supply 396 mw of electrical power. assume that the turbine and the generator are 83.1
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