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Q. A 9.8-kg object oscillates at the end of a vertical spring that has the spring constant of 1.75 104 N/m. The effect of air resistance is represented by the damping coefficient b = 3.00 N•s/m.
(1) Calculate the frequency of the dampened oscillation.
(2) By what percentage does the amplitude of the oscillation decrease in each cycle?
(3) Find out the time interval that elapses while the energy of system drops to 4% of its initial value.
A 60.0 kg crate rests on a level floor at a shipping dock. The coefficients of static and kinetic friction are 0.760 and 0.410, correspondingly. What horizontal pushing force is required to (i) just start the crate moving and (ii) slide the crate ..
Though slow on land, the leatherback turtle holds record for the fastest water speed of any reptile: 9.78 m/s. It is also among the largest of reptiles. Assume the largest leatherback yet discovered were to swim at the top leatherback speed. If its k..
At t=0 a grinding wheel has an angular velocity of 24.20 rad/s. It has a constant angular acceleration of 24.2 rad/s^2 until a circuit breaker trips at t = 1.2 seconds.
A 48.9 kg pole vaulter running at 13.0 m/s vaults over the bar. Assuming that the vaulter's horizontal component of velocity over the bar is 1.7 m/s and disregarding air resistance, how high was jump.
A baseball pitcher throws a fastball at a speed of 35m/s. The acceleration occurs as the pitcher holds the ball in his hand and moves it throughout an almost straight-line distance of 3.7 m. estimate the acceleration, assuming that it is constant ..
An object is found to have a weight in air of 500N. It is then tied to a string connected to a balance and immersed in water (density of water is 1000 kg/m3). The scale now reads 450 N. at last the object is immersed in oil and is found to have a ..
Two balls, of masses = 49 and = 67 , are suspended as shown in the figure. The lighter ball is pulled away to a 66 angle with the vertical and released. suppose that positive axis is directed to the right. What is the velocity of the lighter ball ..
use the inverse square law to display that in space shuttle territory, 200 kilometers above earth's surface, the force of gravity on a shuttle is about 94 percent of that at earth's surface.
A converging lens of focal length 18 cm is 30 cm to the left of a diverging lens of focal length - 6 cm. a coin is placed 12 cm to the left of the converging lens. Find (a) location and (b) magnification of the coin's final image.
An explorer in dense jungles of equatorial Africa leaves his hut. He takes 41 steps at an angle 45 north of east, then 81 steps at an angle 60 north of west, then 51 steps due south. Suppose his steps all have equal length. Save him from becoming ..
A 378 N, uniform, 1.56 m bar is suspended horizontally by two vertical cables at each end. Cable A can support a maximum tension of 502.0 N without breaking, and cable B can support up to 397.0N. You want to place a small weight on this bar. What is ..
A person walks 25.0° north of east for 2.70 km. How far would the person walk due north and due east to arrive at the similar location.
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