A 1.80 kg wooden block is tied to a rope and spun in a circular path of radius 1.12 m. The block obtains a maximum speed of 12.0 m/s. What is the magnitude of the maximum radial acceleration (in m/s2) of the block? ]m/s2
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![A 1.80 kg wooden block is tied to a rope and spun in a circular path of radius 1.12 m. The block obtains a maximum speed of 12.0 m/s. What is the magnitude of the maximum radial
acceleration (in m/s2) of the block?
]m/s2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17ba9c3d-cbd4-46df-8a24-8ddf9ef55114%2F153c54d0-fc0d-4cd6-878a-0147a5ef8357%2Fy990pdr_processed.png&w=3840&q=75)
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- Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.Solve the following problems. Because Earth is rotating around its axis, objects on its surface have radial acceleration. Take note that the radius of the Earth is 6,380 km and Earth rotates around its axis in 24 hours. a. What is the radial acceleration of an object at Earth's equator in m/s? b. What is the radial acceleration for an object at 20-degree latitude? c. Express your answers in parts (a) and (b) as a fraction of acceleration due to gravity, g. Using these values, explain why objects on Earth's surface are not thrown off into space.A small ball is attached to the lower end of a0.800-m-long string, and the other end of the stringis tied to a horizontal rod. The string makes aconstant angle of 67.9° with the vertical as the ballmoves at a constant speed in a horizontal circle.Part AIf it takes the ball 1.10 s to complete onerevolution, what is the magnitude of the radialacceleration of the ball?Express your answer with the appropriate units.
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- A toy racecar races along a circular race track that has a radius of 26 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.05 radians since it started moving. The racecar is how many radius lengths to the right of the center of the race track? __ radius lengths The racecar is how many meters to the right of the center of the race track? __ meters The racecar is how many radius lengths above the center of the race track? ___ radius lengths The racecar is how many meters above the center of the race track? __ meterssA toy racecar races along a circular race track that has a radius of 32 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the racecar has traveled 51 meters along the race track. How many radians has the racecar swept out? radians What is the racecar's distance to the right of the center of the race track (in meters)? meters What is the racecar's distance above the center of the race track (in meters)? meters Let dd represent the racecar's varying distance traveled (in meters) along the circular race track. Write an expression (in terms of d) to represent the racecar's distance to the right of the center of the race track (in meters). Write an expression (in terms of d) to represent the racecar's distance above the center of the race track (in meters).NASA’s Cassini mission to Saturn released aprobe on December 25, 2004, that landed on the Saturnian moonTitan on January 14, 2005. The probe, which was named Huygens,was released with a gentle relative speed of 31 cm>s. As Huygensmoved away from the main spacecraft, it rotated at a rate of sevenrevolutions per minute. (a) How many revolutions had Huygenscompleted when it was 150 yards from the mother ship? (b) Howfar did Huygens move away from the mother ship during each revolution? Give your answer in feet
- A toy racecar races along a circular race track that has a radius of 32 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the racecar has traveled 51 meters along the race track. How many radians has the racecar swept out? __radians What is the racecar's distance to the right of the center of the race track (in meters)? ____ metersN5 A jet plane flies at a high speed of 400 m/s at the altitude of 1000 meters. A camera crew on the ground is shooting the action to make a newsreel. In order to closely track the plane, how fast (radian per second) should the angle of the camera be turning when the jet flies right above the crew?The data given below comes from 2006 NASA space shuttle mission flown by the space shuttle Discovery. Plot the following quantities as a function of time Altitude Velocity Acceleration The radial velocity of the space shuttle is the component of the velocity that points in the direction of the radius connecting the shuttle to Earth’s center. From your altitude versus time graph, estimate the radial speed at t= 40 s t=80 s t=120 s
