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Compute the solution of each part of given problem:
Problem: A 400 kg roller coaster cart travels along the inside of a vertical circular track of radius 10 m. At its highest point it moves at 20 m/s. Friction between the cart and track is negligible.
Part A: Find the cart's speed one quarter of a loop later (when it's at the same height as the loop's center)
Part B: Find the magnitude of the normal force one quarter of a loop later (when it's at the same height as the loop's center).
Please show each step and detailed calculation.
A village maintains a large tank with an open top, containing water for emergencies. The water can drain from the tank through a hose of diameter 6.65 cm. The hose ends with a nozzle of diameter 2.40 cm. A rubber stopper is inserted into the nozzl..
Suppose the first coil of wire illustrated in the simulation is wound around the iron core 9 times. Find the magnitude of the emf induced in the coil
A 6.0 V battery is connected in series with a 29 mH inductor, a 110 ohm resistor, and an open switch. How much energy is stored in the inductor
If the person can view the image produced by the microscope with a completely relaxed eye, and the magnification is -4825, what is the focal length of the objective
A 6-kg bucket of water is being pulled straight up by a string at a constant speed. What is the tension in the rope
A large incandescent light bulb used in a spotlight in the 1939 movie "The Wizard of Oz" had an operating temperature of 2500 degrees Kelvin. determine the thermal power from the filament in Joules/second
A 1500 kg car moving east at 26 m/s collides with a 1720 kg car moving south at 15 m/s and the two cars stick together.
The rms current in an ac circuit with a resistance of 170 is 0.85A. What is the average power consumed with this circuit? What is the maximum power consumed with this circuit?
You and a friend are out hiking across a large flat plain and decide to determine the height of a distant mountain peak, and alsothe horizontal distance from you to the peak. In order to do this,you stand in one spot and determine that the sightli..
A 25-g string is streched with a tension of 43.0 N between two fixed points 12.0 m apart. What is the frequency of the second harmonic
An airplane flying horizontally at a constant speed of 350 km/h over level ground releases a bundle of food supplies. Ignore the effect of the air on the bundle. find the bundle's initial vertical component of velocity
The axle of a wheel is mounted on supports that rest ona rotating turn table as shown in the gure. The wheel has angular velocity !1 = 44:0 rad/s about its axle, and the turntable has angular velocity!2 = 35:0 rad/s about a vertical axis.
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