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A certain stop light stays yellow for 5 seconds before turning red. Suppose that your maximum deceleration from braking is 2 m/sec2. If you approach this light and it turns yellow, you normally have two options: If you are close enough to the light, you can continue on through at a constant speed before it turns red, while if you are far enough from the light, you can put on the brakes and stop before reaching the light. (Disregard the option of speeding up, and assume that reaction time can be ignored.)
However, if you are going faster than a certain critical speed, there are some distances from the light for which you cannot do either (i.e. you are too far to make it through, and yet too close to stop). What is this critical speed?
a stone is thrown upward at an angle of 43degrees above the horizontal. it's maximum height during the trajectory is 55m. what was the stone's initial speed
a 7.4 cm-diameter-baseball has a mass 145 g and is spinning at 2000 rpm. Treating the baseball as a uniform solid sphere, whats its angular momentum
An organ pipe closed at one end and open at the other end has two successive harmonics with frequencies of 2170 Hertz and 2790 Hertz. What is the fundamental frequency of the pipe
Compute the amount of energy required to accelerate an electron from 0.564c to 0.991c.
Two very narrow slits are illuminated by monochromatic coherent light in air that has wavelength 560 nm, What is the distance between the two slits
The Earth is constantly being bombarded by cosmic rays, which consist mostly of protons. Assume that these protons are incident on the Earth's atmosphere from all directions at a rate of 1090. protons per square meter per second.
the electron beam emerging from a certain high-energy electron accelerator has a circular cross section of radius 1.45
Four equal positive point charges, each of charge -14 C , are at the corners of a square of side 12cm.What charge should be placed at the center of the square so that all charges are at equilibrium? Solve using only Biot-Savart and maxwell's equation..
An object 2.00 cm high is placed 41.0 cm to the left of a converging lens with a focal length of 30.0 cm, Determine the magnification of the final image
light of wavelength 600nm is incedent normally on a surface of area 4 cm^2. Determine the power output of the light source
A 1.00-kg beaker containing 1.80 kg of oil (density = 916 kg/m3) rests on a scale. A 1.90-kg block of iron is suspended from a spring scale and is completely submerged in the oil. Determine equilibrium readings of both scales.
An oscilloscope shows a steady sinusoidal signal of 5 Volt peak to peak, if we have voltage knob on 2 volts per division, how many divisions will be read on the screen
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