5. [7.2/14.4 Points] DETAILS PREVIOUS ANSWERS A 3 kg block slides down a ramp which is at an incline of 0 = 60. If the frictional force is 4.59 N, what is the coefficient of friction? Assume g = 9.8 m/s. 0.312 At what incline (measured in degrees) will the box slide at a constant velocity? X Your response differs from the correct answer by more than 10%. Double check your calculations." 6. [0/7.2 Points] DETAILS PREVIOUS ANSWERS A 1131 kg car skids to a stop across a horizontal road surface that has a coefficient of friction of #, = 0.859. Determine the acceleration of the car. The magnitude of the acceleration of the car is X9. [0/7.2 Points] DETAILS PREVIOUS ANSWERS In the figure below, m, = 11.2 kg and my = 3.70 kg. The coefficient of static friction (/) between m, and the horizontal surface is 0.500, and the coefficient of kinetic friction (# ) is 0.300 If the system is set in motion with m, moving to the right (m, moving downward), what will be the acceleration of the system? -0.2975 m/s* x Your response differs from the correct answer by more than 10%. Double check your calculations. Use the sign of the acceleration to indicate direction, with a positive acceleration on m, in the upward direction.7. [6/18 Points] DETAILS PREVIOUS ANSWERS When a 2.70-bg object is hung vertically on a certain light spring described by Hooke's law (F - -Rx) where x is the displacement from the spring's equilibrium position . The weight is slowly lowered so that the spring stretches 2.56 cm and stays at that position without moving up and down as the support of the mass is removed. The force of gravity downward balances the spring force upward. (al What is the force constant of the spring? The response you submitted has the wrong sign. (hy If the 2.70-kg object is removed, how far will the spring stretch If a 1.35-kg bleck is hung on MY 1.28 cm Lol How much, work must an external agent do to stretch the same spring 9.00 cm from its unstretched position? enter a number with units. am the correct answer by more than 10%. Double check your calculations.5. [12/18 Points] DETAILS PREVIOUS ANSWERS F. Starting from rest, a 4.70-kg block slides 2.70 m down a rough 30.0 incline. The coefficient of kinetic friction between the block and the incline is MK = 0.436. (a) Determine the work done by the force of gravity. 62.181 J ( + ) (b) Determine the work done by the friction force between block and incline. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.(+) (c) Determine the work done by the normal force. O J ( # )6. [6.5/19.5 Points] DETAILS PREVIOUS ANSWERS A bicyclist starting at rest produces a constant angular acceleration of 1.70 rad/s for wheels that are 32.0 cm in radius. (a) What is the bicyclist's linear acceleration? 0.544 m/s2 (b) What is the angular speed of the wheels when the bicyclist reaches 14.0 m/s? rad/s (c) The front wheel of the bicycle has a rotational inertia of / = 0.2500 kg.m , what is the rotational kinetic energy of the front wheel when the bicyclist reaches 14.0 m/s?3. [13l26 Points] PREVIOUS ANSWERS An ultracentrlfuge accelerates from rest to 100.000 rpm In 3.60 min. a What is its an ular acceleration in radfsz? ( J 9 ae=|:|x Your response differs from the correct answer by more than 10%. Double check your calculations. Consider the known variables to determine which rotational kinematic equation should be used here. rad,l'52 (b) What Is the tangential acceleration, in ms}, of a point 12.30 cm from the axis of rotation? \"FlIx Your response differs From the correct answer by more than 10%. Double check your calculations. Note that tangential acceleration depends on distance of a point from center while angular acceleration Is independent or distance of points from center. this2 {c} What is the radial acceleration. In W52, ofthis point at full rpm (at 100,000 rpm)? (Ir-w m2 (d) Express this radial acceleration as a multiple of g. 111at Is. what is the value of (IR 93'? \"R: 131'637363 V9 9' With the aid of a string. a gyroscope Is accelerated from rest to 26 radfs in 0.9 s. (a) What is Its angular acceleration in mdfsz? e was: (b) How mam;r revolutions do it go through in the process? |:|x Your response differs from the correct answer by more than 10%. Double check your calculations. Consider the known variables to determine which rotational kinematic equation should he used here. Check units for consistency. rev 10. [-/6 Points] DETAILS When describing high speed objects, like fighter aircraft or spacecraft reentering the atmosphere, the Mach number is often given instead of the speed of the object. The Mach number or Mach speed is the ratio of the object's speed to the speed of sound at the location of the object The speed of sound in a gas, live air, changes with temperature, pressure, altitude, and the density of the gas. A plane is flying at about 9200 ft. The speed of sound at an altitude of 9209 it is 329 mis. If an airplane is flying at Mach 1.52, then the plane's speed is m/s 11. [-/18 Points] DETAILS A hydrogen cloud in the Milkyway is detected by receiving a radio signal at 1,4211307 GHa. The zero velocity frequency of the hydrogen signal is 1.420405751786 GHz. (Note that you need to use at least 6 significant figures In the frequencies to obtain a frequency difference to 3 sig.figs.) What is the speed of the cloud, relative to the observing telescope The relative speed of the cloud is (+) Is the cloud getting closer to or going away from the observer? getting doser Do going away from Is this signal red shifted or blue shifted? blue shifted red shifted 12. [-/14 Points] DETAILS A stationary observer sees a moving ambulance and hears the siren with a frequency that is K times the frequency generated by a stationary ambulance. That is, I, " RT. where K is some value, not necessarily an imager. (A) Using u, as the speed of the amulance, and as the speed of sound, What is the speed of the ambulance? Use positive if towards the observer and negative if amay. (You may use numerical constants and these variables! v X] (B) The speed of the ambulance is & times the speed of the sound wave. That is, v, = kv, (With positive being towards the observer and negative being away from the observer) How are the frequency of the ambulance, ), and the frequency observed, for related? [You may use numerical constants and these variables: I, R}5. [-/14 Points] DETAILS A train is moving toward the station at a speed of 25 m/s. Its horn emits a sound of frequency 700 Hz. (a) Calculate the frequency detected by a person standing still at the station. (Use 345 m/s for the speed of sound.) (b) As the train moves away, still blowing its horn at the same frequency as before, the observer hears a frequency of 653 Hz. Calculate the new speed of the train