2. Another absent-minded physics professor has left his notebook on top of his car. The notebook has mass m = 1 kg. If the coefficient of static friction is u=0.7, and if he is driving at a speed of v = 20 m/sec, then what is the tightest corner he can turn without the notebook sliding off? (Give your answer as the radius of an equivalent circle.) %3D %3D
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- Civil and traffic engineers want to design a banked curve on a highway. The curve will have a 1.80 km radius and the highway's speed limit will be 70.0 mph. If every car will travel at the speed limit, what is this curve's ideal banking angle to three significant figures? NB: 1609 m = 1 mile. Hint: be careful with your units. 1.94° 2.62° 4.02° 3.18° 2.95° 15.5°C. Which of Newton's Laws applies in reference to your body pulls to the right when the car turns to the left? 6. Describe what tangential velocity is in terms of swinging the bucket in a vertical circle and then letting the bucket go. 7. True or False: The centripetal force has the same direction as the centripetal acceleration. 8. Write the formula of cent etal acceleration in terms of tangential velocity. 9. Write the Formula of centripetal force in terms of tangential velocity.A car with a constant speed of 95 km/h enters a circular flat curve with a radius of 0.5 km. The friction between the road and the car's tire can supply a centripetal acceleration of 1.35 m/s². What is the acceleration the car need to remain in this curve regardless of its acceleration of 1.35 m/s²? a) 2.39 m/s² b) 1.74 m/s² c) 1.35 m/s² d) 1.39 m/s² V₁ = V + at лd²h V= C=d F = ma ac r x=x+(+v₁)t +mgh+Fyud F r
- V a. R %3D If the speed of a circularly moving object doubled, the centripetal acceleration of that object would 1) increase by a factor of two (2) 2) decrease by a factor of four (4) 3) remain constant 4) increase by a factor of four (4) 5) decrease by a factor of two (2)MCQ 5. A roller-coaster car has a mass of 500 kg when fully loaded with passengers. The car passes over a hill of radius 15 m, as shown. At the top of the hill, the car has a speed of 8.0 m/s. What is the force of the track on the car at the top of the hill? 15 m 8.0 m/s a. 7.0 kN up b. 7.0 kN down c. 2.8 kN down d. 2.8 kN up e. 5.6 kN down 71672NASA uses a machine often called the "vomit comet" to mimic the effects of low gravity in space during astronaut training. The machine moves in circular arcs at a speed of v = 214 m/s. What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.
- 12. On a wet road, the coefficient of static friction between a car's tires and the flat road is 0.34. What is the maximum speed a car can safely navigate a turn with a 70.0 m radius of curvature? m/s £60 5 ssf60 f60 ssfIn many new science fiction movies large space ships simulate gravity by make very large cylindrical vessels that rotate at correct speeds. If one such space ship has a radius of R = 53.1 m, how many revolutions per hour does it need to make so that the passengers feel the proper simulation of gravity as they are on the edge? RA small object of mass 0.500 kg is attached by a 0.830 m-long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 7.54 m/s. a.)What is the magnitude of the radial acceleration of the object? b.)What is the tension in the cord?