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A weather vane initially at rest has a moment of inertia of 0.104 kg · m2 about its axis of rotation. A 28.5 g piece of clay is thrown at the vane and sticks to it at a point 12.5 cm from the axis. The initial velocity of the clay is 21.0 m/s, directed perpendicular to the vane. Find the angular velocity of the weather vane just after it is struck.
The wave function y(x, t) for a certain standing wave on a string fixed at both ends is given by y(x, t) = (0.05 m) sin (1.8 m-1x) cos (400 s-1t). What is the shortest possible length of the string
aircraft has cross section of 710 m^2, what percentage of radiated energy will be detected
A projectile is fired into the air from the top of a cliff of height h = 198 m above a valley. Where does the projectile land
Current passes through a solution of sodium chloride. in 1.00 secnds, 2.68 x 10^16 Na+ ions arrive at the negative electrode, what is the current in the fluid
A spring-loaded pellet gun is designed to fire 3.50 g projectiles horizontally at a speed of 39.1 m/s. What maximum force is required to load the gun
On a workday an average decibel level of the busy street is 89 dB, with 100 cars passing a given point every minute. If the number of cars is reduced to 30 every minute on a weekend, what is the decibel level of street.
Two blocks of weights 70.0 and 100.0 N are connected by as massless string and slide down an inclined plane making an angle of 42.0 deg. find the magnitude of the heavier block's acceleration
A flask containing 800 g. of water is heated. If the temperature of the water increases from 27 degrees Celsius to 88 degrees Celsius, how much heat (in joules) did the water absorb.
An air bubble ascends from the bottom of a lake 15 m deep. The temperature at the bottom of the lake is 4oC, what would be the volume of the bubble at the top of the lake?
Obtain grand mean and unadjusted means for the ANCOVA model where covariate, "xc", Treatment, "a", response, "y" are considered and calculate adjusted means given the estimates
A 0.25 m long wrench is placed around a bolt and a 20 N force is applied halfway along the wrench at an angle of 30 degrees, What is the torque (in Nm) applied to the bolt from this force
A 1830 kg car traveling at 12.9 m/s collides with a 2980 kg car that is initally at rest at a stoplight. find the coefficient of kinetic friction between the cars and the road
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