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1. A car is rounding a curve with a radius of 12.0 m at 8.2m/s when it hits a slippery patch. What is the minimum coefficientof static friction between the car and the slick patch of road that will allow the car to round the corner safely?
2. A target is lying flat on the ground 45 meters from thebottom of an 18 meter cliff. A boy is standing at the top of thecliff with a bow and arrow. If the boy fires the arrow parrallel tothe ground from the top of the cliff, how fast should it be goingso that it hits the target?
3. A 20 kg concrete block is supported by two cables. Thecables make angles of 60 degrees with the ceiling. Find thetensions in the cables.
4. A girl is sledding in the winter; the total mass of thesled and girl is 55kd. The coefficient of kinetic friction betweenthe sled and the snow is 0.14. She chooses a run where the inclineis 24 degrees. What is her acceleration?
5. A man is dragging a trunk in a busy airport at a contantvelocity. He applies a force at an angle of 40 degrees above thehorizontal. The trunk weighs 240 N. If the coefficient of frictionis 0.35, with what force is he pulling the trunk?
A star has a mass of 1.87 x 1030 kg and is moving in a circular orbit about the center of its galaxy. The radius of the orbit is 3.5 x 104 light-years, Determine the tangential speed of the star
Find the magnetic vector potential inside and outside a slab of thinkness 2a, extending infinitely in x and y directions. Use Coulomb's gauge. J= -J e^-abs(z)/a)
If that ball had been released from the same height, but this time above the surface of the moon, how long would it have taken for the ball to hit the ground
Sewage at a certain pumping station is raised vertically by 5.30 m at the rate of 1 920 000 liters each day. The sewage, of density 1 050 kg/m3, Find the output mechanical power of the lift station
A car of mass 1,800 kg is initially traveling at a speed of 15 m/s. Calculate the change in the kinetic energy of the car
a jetliner is moving at a speed of 270 km/h. the plan then decelerates at 4.5 m/s2. what is the minimum runway length on which this aircraft can land
A long solenoid has n turns per unit length and a radius R. If the current in the solenoid varies as I(t) = I(0)sin(wt), what is the induced electric field as a function of r both inside and outside the solenoid
A satellite has a mass of 92 kg and is located at 1.99 106 m above the surface of Earth. What is the magnitude of the gravitational force on the satellite
In the winter, a thin film of ice (nice = 1.31) can form on a window (nglass = 1.50). Calculate the minimum thickness of the film
You are given a pendulum composed of a 0.024 kg mass on the end of a 0.60 m long massless string. Find the gravitational potential energy of the mass
Air bags are designed to deploy in 10 ms. Estimate the acceleration of the front surface of the bags as it expands. Express your answer in terms of the acceleration of gravity g
A solid cylindrical disk has a radius of 0.45 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. What is the mass of the disk
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