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Q1. A motorcycle has a constant speed of 29.0 m/s as it passes over the top of a hill whose radius of curvature is 117 m. The mass of the motorcycle and driver is 325 kg.
(a) Find out the magnitude of the centripetal force that acts on the cycle.
(b) Find out the magnitude of the normal force that acts on the cycle.
Q2. A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 18.5 kg•m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is 5.00 x105 kg•m2.Neither neither the spacecraft nor the gyroscope is at first rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 125 rad/s. If the orientation of the spacecraft is to be changed by 30.0°, for what time interval must the gyroscope be operated?
Find the drift velocity of conduction electrons in a gold wire of diameter 2.88 mm when a current of 0.123 A flows in it
A resonant circuit in a radio receiver is tuned to a certain station when the inductor has a value of 0.196 mH and the capacitor has a value of 28.2 pF. Calculate the frequency of the radio station
A motorcycle is traveling up one side of a hill and down the other side. Determine the maximum speed that the cycle can have
The former is on the left in contact with air and the other in contact with a liquid of index 1.4 The refractive index of the glass is 1.50. Find the positions of the foci, principal planes, and focal length of the system.Use the matrix approach
A 49g marble moving at 1.9m/s strikes a 24g marble at rest. What is the speed of the first marble immediately after the collision
A circular coil having an area of 24 cm^2 is plaved in a uniform magnetic field of 0.60T, which is derected vertically upward. Find the magnitude of the magnetic flux contained in the coil
A submarine dives to a depth of 310 feet in the ocean. What is the gauge pressure at this depth? How many atmospheres is this
You are at a rock concert, and the sound intensity reaches levels as high as 100 dB. Calculate the amplitude of this oscillating force
An ideal gas expands at constant pressure of 5.0 atm. from 240 milliliters to 630 milliliters, Calculate the total work (in joules) done by the gas in the process
Consider a series RLC circuit with R = 15 , L = 196 mH, C = 75 µF, and a maximum voltage of 148 V. What is the impedance of the circuit at resonance
An object of heat capacity 100 cal/C is initially at 30.0C. Estimate the resulting entropy change of the universe
A 22 V battery is connected to a parallel-plate capacitor with a plate area of 0.28 m2 and a plate separation of 2.1 mm. What is the resulting charge on the capacitor
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