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A flat (unbanked) curve on a highway has a radius of 220.0 m. A car rounds the curve at a speed of 25 m/s. (a) What is the minimum coefficient of friction that will prevent sliding?



 A sled with a mass of 25.0 kg rests on a horizontal sheet of essentially frictionless ice. It is attached by a 5.00-m rope to a post set in the ice. Once given a push, the sled revolves uniformly in a circle around the post. If the sled makes five complete revolutions every minute, find the force F exerted on it by the rope.



For electrons in a square semiconducting wire of width 30 nm , find the linear electron density at which the n1=2 , n2=3 subband is first populated in equilibrium at T=0 . Assume an infinite confining potential at the wire boundary

A particle moving along the x-axis in simple harmonic motion starts from the equilibrium position, the origin, at time t=0 and moves to the right. The position of the particle after time, t, is given by the following equation: x=2.0 sin 3πt m



Calculate:



A) the maximum velocity of the motion



B) the acceptation of the object after 2 seconds



C) the distance traveled by the particle from t=0s to t=2s

The intensity of a sound wave at a distance of 5 m from the point source is 0.8 Wm⁻² . What will the intensity be at a distance of 10 m from the source?


Suppose that your car consumes a gallon of gasoline in half an hour. What is its rate of chemical energy consumption, in watts and in horsepower?


The average American passenger car or light truck can drive about 20 miles on a gallon of gasoline: we say that its “fuel economy” is 20 miles per gallon. In the rest of the world, fuel economy would be expressed in kilometers per liter. Given that there are 1.6 kilometers in a mile and 3.8 liters in a gallon (approximately), express the fuel economy of the average American passenger vehicle in kilometers per liter


Two forces 10N and 40N can be combined torive a resultant of

Discuss whether any work is being done by each of the following agents and, if so, whether the work is positive or negative. Explain briefly.(a) a chicken scratching the ground(b) a person studying(c) a crane lifting a bucket of concrete(d) the gravitational force on the bucket in part (c)(e) the leg muscles of a person in the act of sitting down.

A crate is moving 2m along horizontal floor at a constant speed by a force of 50N which makes an angle of 30° above the horizontal. How much work is done on the crate by the force? Show complete solution.

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