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A pendulum clock keeps time by the swinging of a uniform solid rod pivoted at one end. The angular position of the rod is given by theta, (t); =; ( 0.175 rad ),sin (pi t), where t is in second.
A 550 turn solenoid, 25 cm long, has a diameter of 2.5 cm. A 10 turn coil is wound tightly around the center of the solenoid. If the current in the solenoid increases uniformly from 0 to .60 s, what
A child's toy consists of a piece of plastic attached to a spring (Fig. P13.9). The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 9
The man pulls the boy up the tree limb C by walking backward at a constant speed of 1.5 m/s. Determine the speed at which the boy is being lifted at the instant xA= 4m. Neglect the size of the limb.
An instructor wants to use a lens to project a real image of a light bulb onto a screen 1.24 m from the bulb. In order to get the image to be two times as large as the bulb, what focal length lens
Anna walks 100 m due north, 50 m due east, and then 45 m due south. What is the magnitude of her net displacement
A 5.00-g lead bullet traveling at 470 m/s is stopped by a large tree. If half the kinetic energy of the bullet is transformed into internal energy and remains with the bullet while the other half i
A particle moves in a circular orbit in an attractive potential V(r). Expand the Lagrangian to second order about equilibrium coordinates, r_0, phi = wt and find the condition for stability against
25 g of copper pellets are removed from a 300C oven and immediately dropped into 100 mL of water at 18C in an insulated cup. What will the new water temperature be?
What is the force of gravity between two 1490 kg cars separated by a distance of 33 m on an interstate highway?
Ice at -13.7 °C and steam at 114 °C are brought together at atmospheric pressure in a perfectly insulated container. After thermal equilibrium is reached, the liquid phase at 44.3 °C is
A car of mass 973 kg coasts on a level road, starting with an initial speed of 13.8 m/s and coming to rest 14.7 s later. Find the frictional force acting on the car.
Mackinzie walks 4 blocks west, then 2 blocks south, then 4 blocks east, and, finally, 1 block south. What is the magnitude of her total displacement during this walk (in blocks)?
A wooden block weighing 7 N is at rest on top of a wooden desk. The coefficient of static friction between the block and the desk is 0.41. Find the minimum horizontal force required to move the bloc
The pilot of a plane measures an air velocity of 188 km/h south. An observer on the ground sees the plane pass overhead at a velocity of 108 km/h toward the north. What is the velocity of the wind
A block weighing 10.58 N rests on a 29° inclined plane. (a) Find the normal force exerted by the plane on the block.
The center of a 1.00km diameter spherical pocket of oil is 1.00km beneath the Earth's surface. Estimate by what percentage directly above the pocket of oil would differ from the expected value of g
A curve of radius 35 m is banked for a design speed of 60 km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve?
Your new designer chair has an S-shaped tubular metal frame that behaves just like a spring. When your friend, who weighs 600 N, sits on the chair, it bends downward 4 cm. What is the spring consta
A 2000 kg car is traveling at 40.0 m/s and then puts on the brakes and comes to a complete stop. The heat generated at the brakes due to stopping heats up the brakes. The mass of the brake system i
Is the collision between a ball and pendulum elastic or inelastic? Justify by calculating the kinetic energy of the system before collision using the value of Vx0 found in the experiment and the kin
Write down the system of differential equations for small oscillation of the mass in the x-y plane.
What is the magnitude of the total electrostatic energy of the ?nal 5 charge system? It may be useful to consider the symmetry property of the charge distribution which leads to cancellations among
What is the minimal mass of helium (density 0.18 ) needed to lift a balloon carrying two people in a basket, if the total mass of people, basket, and balloon (but not gas) is 320 ?
A 3.00-g copper penny at 25.0' C drops 50.0 m to the ground. (a) If 60% of the initial potential energy of the coin earth system goes increasing the internal energy of the coin determine the coin's