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A hollow sphere of radius 0.30 m, with rotational inertia I = 0.098 kg m2 about a line through its center of mass, rolls without slipping up a surface inclined at 27° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 70 J.Now, the sphere moves 1.0 m up the incline from its initial position.
(a) What is its total kinetic energy now?
(b) What is the speed of its center of mass now?
Smaller mammals use proportionately more energy than larger mammals; that is, it takes more energy per gram to power a mouse than a human. A typical mouse has a mass of 20 g and, at rest, needs to consume 3.0 Cal each day for basic body processes.
A diffraction grating produces a first-order maximum at an angle of 25.0 degree. What is the angle of the second-order maximum
A large piece of cork weighs 0.295 N in air, he spring scale reads 0.903 N. Find the density of the cork
(a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 12.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mole. (b) Imagine adding electrons to the pin until the negative charge h..
a 0.50-kg mass hangs from a spring attached to the top of an elevator. the spring constant of the spring is 19.6 N/m. what is the period of the spring motion
A tuning fork with a frequency of 440 Hz is held just above the top of a uniform glass tube containing water. What is the speed of sound in air
An uncharged capacitor and a resistor are connected in series to a source of EMF. If ? = 4.38 V, C = 20.1 ?F, and R = 111 ?, Calculate the maximum charge on the capacitor
The position of a car at t= 20 min is x= 12 km. Its position is 69.6km when t=60min. Find the average velocity of the car
The angular speed of the rotor in a centrifuge increases from 423 to 1404 rad/s in a time of 5.20 s. Obtain the angle through which the rotor turns
A small block with a mass of 0.120kg is attached to a cord passing through a hole in a frictionless, horizontal surface. The block is originally revolving at a distance of 0.50 m from the hole with a speed of 0.70m/s. The cord is then pulled from ..
Carry out the following arithmetic operations: (a) sum of the measured values 756, 37.2, 0.83 and 2.5. The answer must be in significant digits. Since 2.5 and 0.83 have two significant digits, shouldn't the answer be 800 instead of 797.
A step-down transformer is used for recharging the batteries of portable devices. The turns ratio N2/N1 for a particular transformer used in a CD player is 4:57. find the power delivered to the CD player
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