(0) Find the rotational kinetic energy (in 3) of a large moon with a rotational period of 23.3 h. The moon has a mass of 5.40 x 1024 kg and a radius of 6000 km. You may assume the moon is a solid sphere with a uniform density. 1.07885 1 X
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- 7) you and your company are designing a merry-go-round for the company's summer picnic so that all the kids can have fun too. You want to be sure the kids move at a speed of 4 m/s so that they have fun and feel the wind as they ride. However, you do not want it moving faster than 12 rpm so that the kids don't get motion sick. What minimum diameter platform will you need for this merry-go-round? a) 0.65 m b) 6.37 m c) 1.44 m d) 12.5 m e) 3.18 m16. A wheel of mass M and radius R rests on a horizontal surface against a step of height h (hSubject:- Advance physicsJust need part B2. Let F = 4 i -6 j+ 2 k and Let r = 3 i -3 j - 5 k. Find the torque in both %3D Cartesian and polar coordinates. (Find Torque by cross product, find the magnitude of the torque, find the SOLID angle theta and phi since the vector will be in 3 dimentsions.).The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 1.85 cm and is rolled by the beetle at 6.20 cm/s.5. A rotating space station is built in the shape of a bicycle wheel. The space station outer diameter is 400.0 m. How many times each day should the space station rotate so that an astronaut standing along the outer wall experiences an apparent weight equal to 80.0% their weight on Earth?Consider a phonograph with a diameter of 0.6 m and a rotational speed of 33 RPM. Answer the following questions. What is its radius in m?What is its rotational speed in rad/s?What is the tangential speed on the phonograph's outer edge in m/s?What is the tangential speed at the center of the phonograph in m/s?What is the tangential speed halfway out to the edge of the phonograph?A cylinder with a radius of 13 meters and a mass of 8.5 kg rolls without slipping, traveling at 6 m/s. What is the total K.E. of the cylinder in J?Please answer the question correctlyA child exerts a tangential 58.5 N force on the rim of a disk-shaped merry-go- round with a radius of 2.49 m.A uniform solid sphere of mass 6.0 kg and radius 10 cm is rolling without slipping along a horizontal surface with a speed of 4.9 m/s (this is the speed of the center of mass) when it starts up a ramp that makes an angle of 30° with the horizontal. 1st а) b) While the ball is moving up the ramp, find What is the maximum distance it can go up the ramp, measured along the surface of the ramp? 2nd? the acceleration (magnitude and direction) of its center of mass and i) ii) | 3rd 3] the friction force (magnitude and direction) acting on it due to the surface of the ramp. Moment of inertia of a solid sphere is I em =MR². стSEE MORE QUESTIONS