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Various objects roll without slipping down an incline of vertical height H, all starting from rest at the same moment. The objects are a thin hoop, a spherical marble, a solid cylinder, and an empty soup can. In what order do they reach the bottom of the incline? The sliding box wins. For each we can state MgH=1/2Mv^2+1/2Icm w^2. The hoop has the largest moment of inertia; hence lowest speed and will arrive at the bottom behind the solid cylinder, which in turn will be behind the marble sphere. The empty can has most of its mass concentrated at R; therefore it will be a bit faster than the pure hoop but slower than the solid cylinder. Determine what will be the speed of a solid disk?
what is the needed magnitude of the minimum acceleration.
What is the smallest thickness of a soap film (n=1.40) that would appear black if illuminated with 470nm light? Assume there is air on both sides of the soap film
The length of a spring increases by6.9cm from its relaxed length when a mass of1.7kg is hanging in equilibrium from the spring. How much elastic potential energy is stored in the spring
Suppose that the aluminum cup inside a calorimeter has a mass of 48 g and contains 84 g of water. Both the cup and water are initially at a temperature of 5.6 degrees C, what is your best estimate of the specific heat of the aluminum
A 0.04 kg ball is thrown from the top of a 30 m tall building at anunknown angle above the horizontal. find the change in kineticenergy for the trajectory
A transformer is designed to change 120V into 10,000V, andthere are 164 turns in the primary coil. How many turns are in the secondary coil
A man stands on a platform that is rotating (without friction) with an angular speed of 1.1 rev/s; his arms are outstretched and he holds a brick in each hand. What provided the added kinetic energy
A small coil with N_2 loops each of area A_2, is placed inside a long solenoid, near its center. Determine the mutual inductance as a function of theta, the angle of the plane between a small coil and the axis of the solenoid
a ball is thrown horizontally from the roof of a building 45m tall and lands 24.m from the base. what was the ball's initial speed
A 125 kg flatbottomed boat is floating along at 5.0 m/s, headed east. Sally Sue, standing at one end of the boat, starts to walk at 2.0 m/s, what is the speed of the boat as she walks along
A tank contains 11.6 g of chlorine gas (Cl2) at a temperature of 81 °C and an absolute pressure of 5.02 105 Pa. The mass per mole of Cl2 is 70.9 g/mol. How many grams of chlorine gas have leaked out of the tank
A submarine of mass 2.1x 103 kg and initially at rest firesa torpedo of mass 260 kg. The torpedo hasan initial speed of 100.1 m/s. What is the initial recoil speed of the submarine in m/s?
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