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a) Calculate the linear and rotational speed of a solid sphere of radius 20.0 cm and mass 1.20 kg that is released from rest and rolls down a 30.0 degree incline that is 10.0 m long, when it reaches the bottom.
b) Calculate the ratio of rotational kinetic energy to translational kinetic energy.
c) Does your answer to b.) depend on the sphere's radius or mass? Please answer all sections and explain.
An unmanned spacecraft of mass 459 kg, is in a circular orbit around the earth, observing the earth's surface from an altitude of 58.3km. What is the period of the spacecraft's orbit
A compound microscope has objective and eyepiece focal lengths of 6.1mm and 1.9 cm , respectively. what is the magnification of the instrument
61 L of a gas at standard temperature (273K) and pressure (101,481 atm) is compressed to 33L. What is the new pressure of the gas
An electron is released from rest at the negative plate of a parallel plate capacitor. The charge per unit area on each plate is = 2.6 x 10-7 C/m2, the plates are separated by a distance of 1.4 x 10-2 m. How fast is the electron moving just before..
Consider 0.8 grams of air (which may be assumed to be an ideal gas) at 295 K and 1.5 bar trapped in a rigid tank. An electrical heater is operated for 30 seconds. During this time the voltage across the heater is 12 V and 0.6 amps pass through the..
A baseball approaches home plate at a speed of 41.0 m/s, moving horizontally just before being hit by a bat. The batter hits a pop-up such that after hitting the bat, the baseball is moving at 50.0 m/s straight up. The ball has a mass of 145 g and is..
A guitar string with a mass of 10.0 g is 1.00 m long and attached to the guitar at two points separated by 61.6 cm. find the frequency of the replacement string's first harmonic
(a) A 5.00-µF capacitor is connected to a 15.0-V battery. How much energy is stored in the capacitor? (b) Had the capacitor been connected to a 6.00-V battery, how much energy would have been stored?
Cobalt has a saturation magnetization of 1.4 times 106 A/m, and an atomic volume of 6.7 cm3/mole. (a) What is the magnetic dipole moment of each cobalt atom in Bohr magnetons?
A 150g ball is thrown vertically upward from a window 10m above the ground at speed of 30 m/s What is the speed of the ball when it strikes the ground
The mousetrap car has a mass of 100 grams and starts travelling at the speed of 1.80 m/s and after 5seconds get the rested? What force did the motor exert.
The telescope at a small observatory has objective and eyepiece focal lengths respectively of 20.0 m and 12 cm. determine length of the barrel of the telescope
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