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1) The ladder is 3.8 m long and the person is standing 1.1 m up the lenght of the ladder. The ladder makes an angle if 18 degrees with respect to the verticle. Assume the ladder is uniform and has a mass of 15.2 kg while the person has a mass of 76.5 kg.
a. Assume the wall is frictionless. Draw a free body diagram of the ladder.
b. Set up the equation of equilibrium. Simplify them but do not solve them
c. Solve for the unknown quantities.
2) A sphere with a radius of 22.0 cm and mass 125 g is entirely submerged in water. Treat water as an ideal fluid.
a. What is the buoyant force acting on the shere?
b. If the sphere is at a depth of 47.2 m, what is the average gauge pressure acting on it? What is the total pressure?
c. What is average total force being exerted on the surface of the shpere?
d. Suppose the sphere was floating the surface. What fraction of its volume would be below the water's surface?
In two attempts, a javelin is thrown at angles of 35° and 60° respectively, to the horizontal from the same height and at the same speed in each case. How many times farther
A cube with sides of length 4 meters is placed with one corner at the origin. An electric field of E = 2xi + 3j) N/C is in the region of the cube. Find the net flux through the cube
In a football game a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.050 s, find the horizontal and vertical components of the launch velocity
The fastest growing plant on record is the Hesperoyucca whipplei. Suppose a plant of this type grows 2.3 m in 14 days. What is its growth rate in micrometers per second
Three resistors of 40 ohms, 60 ohms and 100 ohms connected on a close circuit with 200 Volt source (assume ideal circuit). With Resistors connected in Parallel: determine the voltage drop across each resistor
A small package is fired off Earth's surface with an unknown launchspeed at a 42.0^\circ angle with the local horizontal. What was the launch speed of the package
Lead has a critical temperature of 7. 2 K and a critical field at 4. 2 K of 430 A/cm. (a) What is the critical field at T = 1 K? (b) At 4. 2 K, how much current can a 1-mm-diameter lead wire carry without resistance?
A cannon tilted up at a 30.0 angle fires a cannon ball at 70.0 m/s from atop a 30.0m -high fortress wall. What is the ball's impact speed on the ground below
Discover new angles with respect to the x-axis
A 4.40 kg ball is dropped from a height of 14.0m above one end of a uniform bar that pivots at its center. The bar has mass 7.50kg, How high will the other ball go after collision
A spring with stiffness 125 N/m and relaxed length 0.50 m hangs vertically from the ceiling. what is the maximum stretch of the spring
The intensity of sunlight at the Earth's surface is about 1074.6 W/m2. What is the total power emitted by the Sun
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