9.9* A bullet of mass m is fired with muzzle speed v horizontally and due north from a position at colatitude 6. Find the direction and magnitude of the Coriolis force in terms of m, vo, 0, and the earth's angular velocity 2. How does the Coriolis force compare with the bullet's weight if v = 1000 m/s and 0 = 40 deg?
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colatitude 0. Find the direction and magnitude of the Coriolis force in terms of m, vo, 0, and the earth's
angular velocity S2. How does the Coriolis force compare with the bullet's weight if
Vo
1000 m/s and
0 = 40 deg?
-"
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- A meteoroid is moving towards a planet. It has mass m = 0.22×109 kg and speed v1 = 3.5×107 m/s at distance R1 = 2.9×107 m from the center of the planet. The radius of the planet is R = 0.46×107 m. The mass of the planet is M = 3.2×1025 kg. There is no air around the. Calculate the value of v in meters per second.A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is v| = 225 km/s and the orbital period of each is 11.6 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) M XCM M Part 1 of 3 - Conceptualize From the given data, it is difficult to estimate a reasonable answer to this problem without working through the details and actually solving it. A reasonable guess might be that each star has a mass equal to or slightly larger than our Sun because fourteen days is short compared to the periods of all the Sun's planets. Part 2 of 3 - Categorize The only force acting on each star is the central gravitational force of attraction which results in a centripetal acceleration. When we solve Newton's second law, we can find the unknown mass in terms of the variables…
- Chapter 04, Problem 029 7 Your answer is partially correct. Try again. The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are ma = 322 kg, mg = 589 kg, and to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. mc = 185 kg. Take the positive direction to be 0.500 m 0.250 mA meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 10×1025 kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.A binary-star system contains a visible star and a black hole moving around their center of mass in circular orbits with radii r1 and r2 , respectively. The visible star has an orbital speed of v=5.36x105 ms-1 and a mass of m1 =5Ms ,where Ms= 1.98x1030kg is the mass of our Sun. Moreover, the orbital period of the visible star is T = 30 hours.(a) What is the radius r1 of the orbit of the visible star?(b) Calculate the mass m2 of the black hole in terms of MS . [Hint: One root of the equation x3 = 20a(5a+x)2 , where a is a constant, is x = 28a .]
- The centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?A skier starts from rest and slides down a slope of length L = 1080 m and angle a = 12° relative to the ground which is latitude line of λ = 57° relative to the equator. W X 2 N X L Z α Find the deflection (in meters, including sign) of the skier when it reaches the bottom of the track due to Coriolis force. Note: 1. Assume that the gravitational force is directed into the center of the Earth and it includes the centrifugal force. 2. Think about the trajectory of the skier without the effect of Coriolis force, and from there find the effect of Coriolis on the acceleration. The acceleration is time dependent and from there you can find the deflection. 3. The deflection is very small, so be very accurate with your calculation. Use g = 9.8 m/s².Part 2 (b) What initial speed is needed so that when the object is far from Saturn its final speed is 0 m/s? (This is called the "escape speed.") Vescape = i m/s
- Our solar system is roughly 2.2 x 1020 m away from the center of the Milky Way galaxy, and the system is moving at roughly 231.4 km/s around the galaxy's center. Since most of the galaxy's mass is near its center (and we are on an outer arm of this spiral galaxy), let's model the galaxy has a spherical mass distribution (like a single, giant star that our system is orbiting around). What is the mass of the galaxy (according to our rough, spherical model)? Obviously, this will be a VERY big answer, and so enter in your answer to the order of 1040 kg. In other words, calculate the answer, and then divide by 1040 and then enter in the result. BTW - by assuming that all mass in the galaxy is made up of stars that are about the same mass as our sun, it isn't too hard to then estimate how many stars are in the galaxy!). As an another aside, some measurements and observations that we have taken in Astronomy suggests that in reality, stars only make up a fraction of the total massYou are an alien on an alien planet orbiting the planet's sun in a circular orbit. You want to find the mass of your sun. You determine the center-to-center distance between your planet and sun to be 6.75E+10 meters. The period of motion of your planet (the length of your year) is 1.21E+7 seconds. You know G=6.67*10^−11Nm2kg2 . What is the mass of your sun?