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A classic physics demonstration involves a glass of water placed in the middle of a flat board. If strings are then tied to the four corners of the board and the strings are swung rapidly in a vertical circle, the glass of water will remain in the center of the board as it spins and no water will spill out of the glass, even when it is upside-down.
a. Draw two free-body diagrams for the glass, one when it is at the top of the circle and one when it is at the bottom of the circle.
b. The board has a mass of 1.55 kg, the full glass of water has a mass of 0.250 kg, and they are rotated on 1.10-meter-long strings of negligible mass. If the glass feels a 38.0-N force from the board at the bottom of the circle, how fast is the glass moving around the circle?
c. What is the minimum angular speed the glass and board must have to prevent the string from going slack?
A square is 1.0 m on a side. Charges of +4.0 uC are placed in twodiagonally opposite corners. In the other two corners are placed charges of +3.0 uC and -3.0 uC. What is the absolute potential in the square's center?
An airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 29° south of east. What is the airplane's speed relative to the earth
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Infrared photons cause a particular piece of metal to emit photoelectrons. Would photoelectrons be emitted when the metal is illuminated by visible light?
A man working out in a gym has a metabolic rate of 2500 kJ/h. His body temperature is 37°C, Find at what rate is energy eliminated by evaporation from the lungs
Kinetic energy KE has dimensions kg · m^2/s^2. It can be written in terms of the momentum p and mass m as KE=p^2/2m. (a) Determine the proper units for momentum using dimensional analysis. (Use the following as necessary: kg, m, and s.)
Find the final velocity of the combined mass after an in elastic collision 500g at 4m/s toward 300g 2 m/s and the change of KE
The tires of a car make 75revolutions as the car reduces its speed uniformly from 110 km/h to40 km/h. The tires have a diameter of 0.80 m. What was the angular acceleration of the tires
four positive charges of equal magnitude form the corners of a square. each side of the square has a length of 0.5 m. what is the magnitude of the electric field at the center of the square in n/c
Snow is falling vertically at a constant speed of 5.0 m/s. At what angle from the vertical do the snowflakes appear to be falling as viewed with the driver of a car traveling on a straight, level road by a speed of 20 km/h?
The wind exerts a force of 325N north on a sailboat, while the water exerts a force of 425 N west on the sailboat. Find out the magnitude and direction of the net force on sailboat.
The sport with the fastest moving ball is jai alai, where measured speeds have reached 303km/h. If a professional jai alai player faces a ball at that speed and involuntarily blinks, he blacks out the scene for 100ms. How far does ball move throughou..
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