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A 45kg figure skater is spinning on the toes of her skates at 1.2rev/s . Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40kg , 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 63cm long) attached to the outside of the torso. The skater then raises her arms straight above her head, where she appears to be a 45 kg, 20-cm-diameter, 200-cm-tall cylinder.
What is her new rotation frequency, in revolutions per second?
A ship's mast reaches to a height of 15 meters above the surface of a 10-meter-deep lake. When the sun is 30° above the horizon, how long will the shadow of the mast be on the bottom of the lake?
In order better to map the surface features of the Moon, Calculate the satellite\'s kinetic energy, gravitational potential energy, and total orbital energy
A 0.900-V potential difference is maintained across a 1.50-m length of tungsten wire that has a cross-sectional area of 0.400 mm2. What is the current in the wire
A helicopter is ascending vertically with a speed of 5.00m/s . At a height of 120m above the Earth, a package is dropped from a window. Evaluate how much time does it take for the package to reach the ground?
Two charges q1 = 1.1 10-8 C and q2 = -4.8q1 are placed 50 cm apart. Find the point along the straight line passing by the two charges at which the electric field is zero, as measured from q1.
A 200 gm block of metal is heated to 100 degrees Celcius in boiling water. This block is after placed in an aluminum calorimeter cup (mass - 30gm; c - .22 cal/g degrees C) containing 180 gm of water at 20 degrees C.
Charges of 3.00 nC, -2.00 nC, -7.00 nC, and 1.00 nC are contained inside a rectangular box with length 1.00 m, width 2.00 m, and height 2.50 m. Outside the box are charges of 1.00 nC and 4.00 nC. What is the electric flux through the surface of th..
Calculate the time constant that is equal to the time taken by a capacitor to fully charge or discharge.
A 5 kg toy race car can move along an x axis. It gives Fx of the force acting on the car, that begins at rest at time t = 0. (The vertical axis is marked in increments of 2.5 N.) what is the momentum at t=6?
The three displacement vectors in the drawing have magnitudes of A = 5.47 m, B = 5.43 m, and C = 3.91 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional an..
A small rope has a linear mass density of 8.00 g/m and is tied to two vertical walls that are separated by three fourths the length of the rope, Find an expression for the speed of a wave on the rope as a function of m
A 100g ball is thrown straight up in the air from a height of 1.5 m above the floor. what was the initial speed of the ball
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