An object of mass m and another object of mass 2m are each forced to move along a circle of radius 1.0 m at a constant speed of 1.0 m/s. The magnitudes of their accelerations are: Select one: O a. in the ratio of y2:1 O b. in the ratio of 2 :1 Oc. equal O d. zero O e. in the ratio of 4:1
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- In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? acceleration: 77.01 m/s? Express this acceleration in terms of a multiple of g. acceleration as a multiple of g: 7.858 If you want to decrease the acceleration by 22.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? percent of time change:A neutron star has a mass of 2.0 × 1030 kg (about the mass of our sun) and a radius of 5.0 × 10³ m (about the height of a good-sized mountain). Suppose an object falls from rest near the surface of such a star. How fast would this object be moving after it had fallen a distance of 0.011 m? (Assume that the gravitational force is constant over the distance of the fall and that the star is not rotating.) V = i îA certain satellite travels in an approximately circular orbit of radius 7.0 x 106 m with a period of 7 h 44 min. Calculate the mass of its planet from this information. Number Units Use correct number of significant digits; the tolerance is +/-2%
- A snowboarder is coasting up a hill. The hill is not on Earth. (a) Choose values for the following. None of them can be 0. The value of gravitational acceleration on this planet (on Earth it would be 9.81m/s2) The mass of the snowboarder iii. The inclination of the hill The coefficient of kinetic friction between the snowboard and the hill The initial velocity of the snowboarder at the base of the hill The distance the skater has to travel from the base of the hill to the peak (b) Draw a picture. (c) Draw the Free Body Diagram. (d) Label the origin and axes. (e) Calculate the weight, normal force and friction force the skater experiences (f) Determine the acceleration of the skater up the hill (g) Does the skater reach the peak of the hill?Assume that we have a distant Star-Planet system with no other planets and the Star is the same as the Sun and the planet is the same as the Earth. This is called an "Earth analog system or "Earth twin". The masses and the orbits are the same except you can assume a perfectly circular orbit. A) Calculate the equation for the orbital velocity of a planet on a circular orbit. To do this use the equation for average speed: distance=rate x time. In a circular orbit, the speed is always the same, so you can use a time that is one full orbital period (1 year). What is the distance that a planet on a circular orbit travels in this time? Calculate the speed of the Earth twin in meters/second. Mass of the sun: 2 x 1030 kg. Mass of the Earth: 5.97 x 1024kg (Note: I think I understand how to use the distance= rate x time, but I'm not sure what to input for rate in this situation. I am also not sure how to calculate the speed of the Earth twin)A roller coaster reaches a velocity of 20 m/s at a location where the radius of curvature is 40 m. Calculate the acceleration in m/s². Correct answer is 10 m/s².
- Car A has just passed a point 500' from the merge point on a highway and is traveling at 55 mph. Car B is traveling 35 mph around a semi-circular jug handle highway entrance. Will the two cars collide? If car B accelerates along the circle from 35 mph to 55 mph what is its total acceleration? Do they collide?Two satellites s, and S, orbit around a planet P in circular orbits of radii r, of the second satellite, S, in m/s? = 5.30 x 106 m, and r, = 8.65 x 106 m respectively. If the speed of the first satellite S, is 1.55 x 104 m/s, what is the speed m/sA racing car is moving around the circular track of radius 500 meters shown above. At the instant when the car's velocity is directed due east, its acceleration is directed due north and has a magnitude of 2 meters per second squared. When viewed from above, the car is moving A. clockwise at 32 m/s B. counterclockwise at 16 m/s C. counterclockwise at 32 m/s D. clockwise at 16 m/s