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There is a thick walled hollow cylinder (outer radius a, inner radius b). (z axis is the height of the cylinder) with its center located at the origin (x=0, y=0,z=0)
a) Find the gravitational potential of the cylinder at point P located on X axis?
b) Find the distance between point P and the origin is R. for R >> height and a, expand the integrand in powers of 1/R ( keep terms up to 1/R^3).
A parallel plate capacitor of capacitance 4.1 uF has the space between the plates filled with a slab of glass with k = 2.9, Find the energy stored in the capacitor after the glass is removed
A 5000 ohms resistor and a 50uF capacitor are connected in series at t=0 with a 6V battery. The capacitor is initially uncharged. What is the maximum charge stored on the capacitor
Two skaters, one with mass 65 kilogram and the other with mass 40 kilogram, stand on an ice rink holding a pole of length 10 meter and negligible mass. Evaluate how far does the 40 kilogram skater move
An object weighing325N in air is immersed in water after being tied to a string connected to a balance. The scale now reads265N. Find the density of the object
a car is travelling alonna highway with a speed of 2.5 ms when the driver notices an obstruction 1.80 x 102m directly
The armature windings of a dc motor have a resistance of7.5? . The motor is connected to a 120-V line, What will be the current in the motor
Miranda, a satellite of Uranus, is shown in part a of the figure below. It can be modeled as a sphere of radius 242 km and mass 6.68 1019 kg. Find the free-fall acceleration on its surface
A fire engine is driving directly away from a solid wall at 34 m/s on a hot 30.0^o C day while its siren emits a steady 420. Hz sound. Compute the frequency heard by a stationary listener
A typical capacitor in an MP3 player has C = 0.10µF. If a charge ±4.3µC is placed on the plates, what is the voltage across the capacitor?
A projectile is launched with an initial speed of 40.0 m/s at an angle of 30.0° above the horizontal. What is the straight-line distance from where the projectile was launched to where it hits its target
A professional race car driver buys a car that can accelerate at +5.9 m/s. Find the distance the two drivers travel before they are side by side
Two frictionless carts are pulled (horizontally to the left) by a force of F1=24N. m1=2.0kg and m2=4.0kg, find the tension in the connecting cord
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