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An amusement park roller coaster starts out on a level track 50.0 m long and then goes down a 50.0-meter incline at an angle of 30° to the vertical. It then goes up a 20.0-meter ramp with an incline of 20° to the horizontal. (a) What is the magnitude and direction of the displacement vector from the initial location to the bottom of the 20.0-meter ramp? (b) If it takes 20.0 s to go from the initial location to the bottom of the 20.0-meter ramp, what is the average velocity dur- ing that time? After the 20.0-meter ramp the coaster travels 15.0 m on flat ground then enters, from the bottom, the inside of a circular track of radius r. After subtending (traveling) 25.0 º around and up the circular track it is noticed that the coaster is half way up to its original height in reference to its lowest position. (c) What is the radius of the circular track? Extra-credit: if the initial speed of the coaster is 5 m/s how long does it take to reach the bottom of the circular track?
An air-filled spherical capacitor is constructed with inner and outer shell radii of 7.00cm and 14.0cm, respectively. Calculate the capacitance of the device
The nucleus of a 125Xe atom (an isotope of the element xenon with mass 125 u) is 6.0 fm in diameter. It has 54 protons and charge q =+54e. What is the electric force on a proton
What is an expression for , the position of mass I as a function of time? imagine that position is measured in meters and time is measured in seconds.
If the crate was at rest at the top of the incline and has a speed of 2.20m/s at the bottom, how much work Wf was done on the crate by friction
The amplitude of a lightly damped oscillator decreases by 1.7% during each cycle. What percentage of the mechanical energy of the oscillator is lost
In an experiment, 210 g of aluminum (with a specific heat of 900 J/kg·K) at 100°C is mixed with 48.0 g of water (4186 J/kg·K) at 20°C, What is the entropy change of the aluminum
A skier is accelerating down a 30.0 degree hill at 1.8 m/s^2. How long will it take her to reach the bottom of the hill, assuming she starts from rest and accelerates uniformly, if elevation change is 325 m.
A 2000 kg statue falls into a circular jacuzzi with a diameter of 5 m, What is the average density of the statue
your optometrist recommends that you purchase reading glasses with a refractive powerof 3 diopters. determine the location of your near point or far point
A small current element at the origin has a length of 1.2 mm and carries a current of 3.9 A in the +z direction. Find the magnitude and direction of the magnetic field due to this current element at the point (0, 3.7 m, 2.0 m).
A ski starts from rest and slides down a 28 degree incline 70m long. If the coefficient of friction is 0.090, what is the ski's speed at the base of the incline
An AC adapter for a laptop computer unit uses a transformer to reduce the line voltage of 110 V (rms) to a voltage of 18.5 V. What is the rms current delivered to the transformer
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