
A velocity field is given by u = 3 y ; v = 3 x over the range 0<x<2; 0<y<2 Take the density as 1 and the depth (in the z direction) as 1. a) Verify that this field is incompressible b) Evaluate the mass flow rate out through each of...

Mass M1 (5.48 kg) is on a rough inclined plane that makes an angle = 43.7o with the horizontal. The coefficient of kinetic friction between M1 and the incline is k = 0.139. A rope is attached to M1, passes over a frictionless pulley, and is attached to mass M2 = 8.33 kg which hangs freely. A...

The mass of a water molecule is 2.99x1026 kg. If the mass of a person is 59 kg, estimate the number of water molecules in that person.

A radar station locates a sinking ship at range 17.3 km and bearing 136 clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 153 clockwise from north, with elevation 2.20 km. (a) Write the position vector for the ship relative to the plane, letting...

A jetliner is moving at a speed of 218 m/s. The vertical component of the plane's velocity is 60.9 m/s. Determine the magnitude of the horizontal component of the plane's velocity.

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A car traveling at 28.0 {\rm m/s} runs out of gas while traveling up a 8.0^\circ slope. How far will the car go up the hill before it runs out of gas?

By the time the radio message reaches a listener, how far from the singer has the sound wave moved in the auditorium? Assume the speed of sound is 428 m/s. Answer in units of cm

A person can jump a maximum horizontal distance (by using a 45 projectile angle) of 4 m on Earth. The acceleration of gravity is 9.8 m/s^2. What would be his maximum range on the Moon, where the freefall acceleration is g/6? Answer in units of m

HI Please give me an explanation for part a and steps to ans for part b. Thank you.
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 The Earth’s rate of rotation is constantly decreasing, causing the day to increase in duration. In the year 2000 the Earth takes about 0.548 s longer to complete 365 revolutions than it did in the year 1900.
 (a) What is the average angular acceleration of the Earth?
 (b) If this average acceleration remains constant, in what year will the Earths rotation come to rest?
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 A spherical balloon is made from a material whose mass is 3.00kg. The thickness of the material is negligible compared to the 1.5m radius of the balloon. The balloon is filled with helium (He) at a temperature of 305degrees K and just floats in the air, neither rising nor falling. The density of the surrounding air is 1.19kg/m^3. Find the absolute pressure of the helium gas
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