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Q. For a spring-mass oscillator, if you triple the mass but keep the stiffness the same, by what numerical factor does the period change? That is, if the original period was T and the new period is bT, what is b? It is useful to write out the expression for the period and ask yourself what would happen if you tripled the mass.
Q. A curve of radius 65 m is banked for a design speed of 110 km/h. If the coefficient of static friction is 0.30 (wet pavement), at what range of speeds can a car safely make the curve?
A 54 {rm kg} ice skater spins about a vertical axis through her body with her arms horizontally outstretched, making 2.5 turns each second. The distance from one hand to other is 1.5 {rm m}. Biometric measurements indicate that each hand typically..
A hotel elevator ascends 240 m with a maximum speed of 5.8 m/s. Its acceleration and deceleration both have a magnitude of 1.0 m/s2.
Calculate the total cost ($/kWh) of electricity delivered to the grid including fuel cost and debt charge with O&M of 5% added to the total.
A weightlifter has been given a barbell to lift. One end has a mass of 5.05 kg while the other end has a mass of 5.20 kg. The bar is 0.20 m long. (Consider the bar to be massless, and assume that the masses are thin disks, so that their centers of ma..
A sanding disk with rotational inertia 2.4 10-3 kg•m2 is attached to an electric drill whose motor delivers a torque of 8 N•m about the central axis of the disk. What are the following values about the central axis at the instant the torque has been ..
A 78-kg man standing on a scale in an elevator notes that as elevator rises, the scale reads 834 N. What is the acceleration of the elevator.
A box weighing 300N is shoved across the floor of an apartment by a force of 400 N exerted downward at an angle of 35.2° below the horizontal. If the coefficient of kinetic friction between the box and the floor is 0.540, how long does it take to mov..
A 50 kg block and a 100kg block are connected by string. the pulley is frictionless and of negligible mass. the coefficient of kinetic friction between the 50kg block and incline is 0.250. find the change in the kinetic energy of the 50kg block as..
Guess scale factor of the Universe
How much greater is an angular momentum of the Earth orbiting about the sun than the moon orbiting about the Earth? (Set up a ratio of angular momenta using data on inside back cover. The period of the moon is about 27.3 days.)
Your motorboat can move at 30km/h in still water. How much time would it take you to move 12km upstream, in a river flowing at 6km/h.
A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 4.50 m/s in 0.852 s. What are the magnitudes of the linear impulse and the average total force experienced by a 65.0 kg passenger i..
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