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The earth rotates once per day.
Consider an object moving arond the equator at 10km/s.
What is the magnitude of its coriolis force?
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- 3.11. Assume astronomers discover a new planet with a characteristic horizontal velocity scale (at middle latitudes), and a rotation rate equal to Earth's. How small would a planet have to be in order that the effect of curvature term on the flow would be comparable to the Coriolis force? The book claims the answer is: a = 10° mA 1300 kg car is travelling north at 85 km/h near Cape Town, South Africa (latitude 34° S).On the automobile, calculate the centrifugal and Coriolis forces.The average density of the planet Mercury in 5.61 * 10^3 kg/m^3. The acceleration of gravity on its surface is 3.92m/s^2. Calculate the average radius of Mercury.
- A planet with mass of 7.50 x 1024) and Jupiter (m = 1.901 x 1027) are attracted to each other. However, they are in a long-distance relationship, being separated by a distance of 4.09 x 1014 meters. Calculate the force of attraction between these two planets. (Iwant to see the set-up of the equation. You can attach a picture and upload it)A planet of mass 4 x 1024 kg is at location (5 x 10¹¹, -5 × 101¹1, 0) m. A star of mass 5 × 1030 kg is at location (-6 × 10¹1, 5 x 10¹¹, 0) m. It will be useful to draw a diagram of the situation, including the relevant vectors.the standard acceleration (at sea level and 45 degree latitude) due to gravity is 9.80665 m/s^2. What isa at the force needed to hold a mass of 2 kg at rest in this gravitational field? How much mass can a force of 1N support?
- At the surface of a certain planet , the gravitational accceleration " g" has a magnitude of 16.0 m/s^2. A 24.0 kg brass ball is transported to this planet , what is the mass of the brass ball on the earth and on the planet ? mEarth , mplanet = ? and also what is the weight of the brass ball on the earth and on the planet wearth , w planet =?Calculate its weight at the following locations (i) Moon, gm = 1.62 m/s2 (ii) Sun, gs = 274.68 m/s2 (iii)Mercury, gme = 3.53 m/s2 (iv) Jupiter, gj = 26.0 m/s2 (v) Saturn, gsa = 11.2 m/s2 and (vi) Venus, gv =8.54 m/s2. (Please gave me clean solution thank you)A woman whose mass is 70 kg on Earth's surface is in a spacecraft at a height of twice Earth's radius (that is, 3 Earth radii) above Earth's surface. What is her mass (not weight) there? BIU S S.
- UI IVI J 8. The International Space Station has a mass of 4.19 × 105 kg and orbits at a radius of 6.79 x 106 m from the center of Earth (Me=5.9722 × 1024 kg, RE=6371 km, G=6.67 × 10-11 N·m²/kg²). Find (a) the gravitational force exerted by Earth on the space station with 52 kg astronaut living inside,At the Sun’s surface, the gravitational force between the sun and a 5.00 kg mass of hot gas has a magnitude of 1370 N. Assuming that the sun is spherical and has a mass of 2 x 1030 kg, what is the sun’s mean radius?Consider a football thrown directly northward at a latitude of 40◦N. The distance of the quarterback from the receiver is 20 yards (18.5 m), and the speed of the thrown ball is 25 m/s.Does the Coriolis effect deflect the ball to the right or to the left? By what amount (in meters) is the ball deflected? Does the receiver need to worry about correcting for the deflection, or should he be more worried about being nailed by the free safety? (Hint: The angular velocity~ω of the Earth’srotation is parallel to the rotation axis.