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The wheel in the figure below has eight equally spaced spokes and a radius of 30 cm. It is mounted on a fixed axle and is spinning at 2 rev/s. You want to shoot a 23 cm long arrow parallel to this axle and through the wheel without hitting any of the spokes. Assume that the arrow and the spokes are very thin. (a) What minimum speed must the arrow have?
A flywheel 0.400 m in diameter pivots on a horizontal axis. A rope is wrapped around the outside of the flywheel, and a steady pull of 80.0 N is exerted on the rope. What is the angular acceleration of the flywheel
calculate the final pressure of a sample of water vapour that expands reversibly and adiabatically from 87.3 Torr and 500 cm^3 to a final volume of 3.0dm^3.Take gamma=1.3
A candle is placed 37.8 cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, Find the focal length of the convex mirror
A rescue helicopter lifts a 84.2-kg person straight up by means of a cable. The person has an upward acceleration of 0.759 m/s2, What is the tension in the cable
A rotating fan completes 1200 revolutions every minute. Consider the tip of a blade, at a radius of 0.11 m. Through what distance does the tip move in one revolution? What is the tip's speed
A bullet of mass mB=1.09?10?2kg is moving with a speed of 101.m/s when it collides with a rod of mass mR=6.51kg and length L=1.04m, What is the change in kinetic energy in the collision
A man stands on a platform that is rotating (without friction) with an angular speed of 1.8 rev/s; what is the resulting angular speed of the platform
At 12 breaths/min, on a dry day when the inhaled air has almost no water content, what is the body's rate of energy loss (in J/s) due to exhaled water
An infinitely long solenoid of radius 2.5cm and 100 turns/cm carries an initial current of 1 A. what is the electromotive force induced in the loop
A sphere of mass 3.00 g is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 28.0° with the vertical. Determine the tension in the cord
Suppose that you hear a clap of thunder 18.4 s after seeing the associated lightning stroke. The speed of sound waves in air is 343 m/s and the speed of light in air is 3.00 x10^8 m/s. How long are you from the lightning stroke.
A rock is thrown from the top of a 30 m building at an angle of 47° above the horizontal. If the horizontal range of the throw is equal to the height of the building, with what speed was the rock thrown
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