=1. A wood block with a density of pb 750 kg/m³, a length 1 = 45.0 cm and cross-sectional area 95. cm²will float in water (Pw = 1000 kg/m³). If the block is pushed down a small amount from its equilibriumfloating position it will experience a restoring force that follows Hooke's Law due to buoyancy. Determinea) the 'spring constant' k for this restoring force, b) the period of the oscillation as it bobs up and down;c) If the initial displacement is 5.5 cm, determine the maximum speed of the block.Ignore friction and any waves generated by the block.

Answered: Image /qna-images/answer/66437f44-7f37-4243-a052-2f913e892313.jpg

Answered: A wood block with a density of pb = 750…

Similar questions

A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 330O N/m. The piston has a negligible mass and a radius of 0.034 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring? H So e (a) Number i Units (b) Number i Units > >
AST Water is flowing in the pipe shown in the figure below, with the 8.20-cm diameter at point 1 tapering to 3.85 cm at point 2, located y 12.5 cm below point 1. The water pressure at point 1 is 3.20 x 10 Pa and decreases by 50% at point 2. Assume steady, ideal flow. What is the speed of the water at the following points? (a) point 1 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s (b) point 2 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s
ECIDO Consider a liquid (p = 1 kg/m³,) in a large bottle. It flows through a rather thin tube and come out of the tube at D. The cross-sectional area of the tube at C is c = 0.2 m², while all other parts have a cross-sectional area b = 0.1 m². The atmospheric pressure is Po= 105 Pascal, and the gravitational acceleration is g = 9.8 m/sec². Assume that the bottle is so large that the motion of the liquid at A is negligible. (hA = 50 m, hB = 10 m, hp = 30 m). A Пл 1) 2) 3) he a B 0 по What is the pressure PD at D? What is the speed VD of the liquid at D? Assuming a continuous liquid flow in the tube, what is the pressure at C?
Question 1 a) Consider the forces acting on an infinitesimal fluid element located at radius r inside a star, where the star is in hydrostatic equilibrium. Show that the buoyancy force acting on the fluid element may be written as Pe dv dt = -(Pe - p)g where Pe is the density inside the fluid element, p is the density of the gas in the surrounding gas at radius r, v is the velocity of the fluid element and g is local acceleration due to gravity. For full marks you should explain each step of your derivation. b) With the aid of a diagram, explain the condition required for convection to occur by considering the small displacement of a fluid element from its original equilibrium location within a star.
An airplane has wings, each with area 3.85 m2, designed so that air flows over the top of the wing at 248 m/s and underneath the wing at 226 m/s. Approximately what size wings would an aircraft need on Mars if its engine generates the same differences in speed as in the "Practice It" and the total mass of the craft is 300 kg? The density of air on the surface of Mars is approximately one percent Earth's density at sea level, and the acceleration of gravity on the surface of Mars is about 3.8 m/s2. ______________m2
Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial diamond of volume 1.28 ✕ 10−6 m3 is formed under a pressure of 4.60 GPa. Find the change in its volume (in m3) when it is released from the press and brought to atmospheric pressure. Take the diamond's bulk modulus to be B = 194 GPa. (Assume the system is at sea level.)
A light spring of constant 165 N/m rests vertically on the bottom of a large beaker of water.A 4 kg block of wood of density 649 kg/m3is connected to the top of the spring andthe block-spring system is allowed to come tostatic equilibrium.What is the elongation ∆L of the spring?The acceleration of gravity is 9.8 m/s2.Answer in units of cm.
A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3600 N/m. The piston has a negligible mass and a radius of 0.010 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring? * I know that a is = 0.0088422743 m but b is NOT 8.950712099 J (wrong) please show work of how to work part b.
Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial diamond of volume 1.12 ✕ 10−6 m3 is formed under a pressure of 5.50 GPa. Find the change in its volume (in m3) when it is released from the press and brought to atmospheric pressure. Take the diamond's bulk modulus to be B = 194 GPa. (Assume the system is at sea level.)