Earth's day has increased by 0.002s in the last century. If this increase in Earth's period is constant, how long will it take for earth to come to rest? CHALLENGE PROBLEMS121. The angular acceleration of a rotating rigid bodyis given by a = (2.0 – 3.0t) rad/s². If the body startsrotating from rest at t=0, (a) what is the angularvelocity? (b) Angular position? (c) What angle does itrotate through in 10 s? (d) Where does the vectorperpendicular to the axis of rotation indicating 0° at t = 0lie at t = 10 s?122. Earth's day has increased by 0.002 s in the lastcentury. If this increase in Earth's period is constant, howlong will it take for Earth to come to rest?123. A disk of mass m, radius R, and area A has a surfacemass density o = m (see the following figure). What isARthe moment of inertia of the disk about an axis through thecenter?Axis of rotationopposing foreis not immedonly exert aa Saturn Vwith this forcRotation Mar125. A cordof radius 0.2on the cord scylinder ismoment of intheorem to cafter 5.0 m ofis replaced byof the cylinde

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You may attempt this question 3 more times for credit. In this problem, we will directly calculate the surface gravity and your weight on another planet. In metric, your weight is measured in "Newtons", and 1 Newton = 1 kg m / s². Newton's constant G = 6.67 x 10-11 m³/(kg s²). Earth has a mass = 5.97 x 1024 kg and a radius of 6378 km. You should be able to verify that g = 9.8 m/s² on Earth using the formula for surface gravity. If your mass is 64 kg, you should also be able to verify you should weigh 626 Newtons. If you can do that you should be OK for what's next. The mass of Venus is 4.87E+24 kg, and it's radius is 6.05E+3 km. What is the surface gravity of this planet? (Watch your units!). m/s² If your mass is 64 kg, what would you weigh on Venus? Newtons. Note: Remember if your answer requires scientific notation to use the "e" notation: "1.1 x 105" is "1.1e5" to OWL.
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Newton’s law of gravitation and the formula for centripetal acceleration can be used to show that: T^2=(4π^2/Gms)R^3 where G is the universal constant of gravitation and MS is the mass of the Sun. Take logarithms to base 10 of both sides of the equation to complete the expression for 2 lg T.2 lg T = ……………… × lg R + ……………………
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