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You are driving toward a traffic signal when it turns yellow. Your speed is the legal speed limit of V0 = 55 km/h; your best deceleration rate has the magnitude a = 5.18 m/s2. Your best reaction time to begin braking is T = 0.75 s. To avoid having the front of your car enter the intersection after the light turns red, should you brake
to a stop or continue to move at 55 km/h if the distance to the intersection and the duration of the yellow light are (a) 40 m and 2.8 s, and (b) 32 m and 1.8 s? Give an answer of brake, continue, either (if either strategy works), or neither (if neither strategy works and the yellow duration is inappropriate).
Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of 364.4 Smoots plus one ear. The unit of one Smoot is based on the length of Oliver Reed Smoot, Jr., class of 1962, who was carried or dragged length by length across the bridge so that other pledge members of the Lambda Chi Alpha fraternity could mark off (with paint) 1-Smoot lengths along the bridge. The marks have been repainted biannually by fraternity pledges since the initial measurement, usually during times of traffic congestion so that the police cannot easily interfere. (Presumably, the police were originally upset because the Smoot is not an SI base unit, but these days they seem to have accepted the unit.) Figure given below shows three parallel paths, measured in Smoots (S), Willies (W), and Zeldas (Z). What is the length of 50.0 Smoots in (a) Willies and (b) Zeldas?
The orbit of a satellite was at an altitude of about 400 km and an inclination of 51°. It's starting mass was 50kg. What is the gravitational force
The most powerful 5G antennas work with a power of 120W. Assume that the human head is a sphere with a radius of 10 cm and that the human body is made of water. For simplicity, you can also assume that the antenna transmits radio waves in all directions evenly.
a) Estimate the upper limit (worst case scenario) of how much energy is captured by the human head if we are standing just below the antenna (5 m from the antenna). Indicate which laws and concepts you used in the calculation.
b) Estimate how long it would take to stand under the antenna to warm the brain by 0.1 ° C if all cooling modes are neglected.
c) List and describe as many ways as possible in which the human brain dissipates heat to the environment.
A 2-kg mass is held at rest at the top of an incline that make a 400 angle with the ground. The incline is 1.5 m long and the coefficient of kinetic friction µk = 0.2. When the mass is released, slides down the inclined with uniform acceleration.
A steel tape is calibrated at 20 degree Celsius on a day when the temperature is -15 degree Celsius.what will be the percentage error of the tape
Calculate the hall effect of sodium based on free electron model.sodium has bcc structure and side of the cube is 4.28A
In the process of rubbing the lenses of the eyeglasses, 6.28x1010 electrons were transferred. What is the change in their masses?
An object with radius = 80 cm, starts from rest and rotates through an angle of 900 degrees in 2 minutes.
Determine the angular displacement, in radians (use pi = 3.14, answer to 1 decimal place)
A force function is given by the equation. Find the work done by this force when displacing an object from to.
