13.4 The car is traveling at a constant speed through a dip in the road. The radius of curvature of the road at point A, the bottom of the dip, is 500 m. What speed of the car, measured in km/h, would result in an acceleration of magnitude 0.2g when the car is at A? 500 m A Fig. P13.4
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- 2. A girl jogs around a horizontal circle with a constant speed. She travels one half of a revolution, a distance of 20.0 m along the circumference of the circle, in 8.00 s. a. What is the radius of the circle in meters? b. What is the period? c. What is her speed? d. What is her radial acceleration is?13.5.17 Q The speedometer on your car reads a steady 35 mph. Could you be accelerating? Explain. Choose the correct answer and explanation. A. Yes. If the car is moving along a curved path (K ± 0), then an = K |v2 + 0 and a = a-T + anN #0. B. No. The car is not accelerating if the speed is constant. C. No. If the car is moving along a curved path (K= 0), then an =K |v|2 = 0 and a = a-T+anN = 0. D. Yes. On a curved path, the velocity always changes in magnitude, but it may or may not change in direction, which means that the acceleration of an object moving on a curved path can never be zero.A car driving around a circular track has a centripetal acceleration of 91 m/s291 m/s2 until it hits a slick spot and slides straight off the track. If the radius of the track is 67 m,67 m, what is the car's speed ?v when it leaves the track?
- A ball is thrown at an initial height of 50 feet at an initial velocity of 65 feet/second at an angle of 75 degrees. Given the parametric equations y - 16t2 + Vo Sin(0)t + ho and x = Vo. Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 2 seconds? 111.57035 v o feet. b. When will the object hit the ground? 4.60298 v o seconds. c. How far horizontally will the ball be when it hits the ground? 77.43702 v o feet. d. When will the ball be at its maximum height? 1.96204 o seconds. e. What is the ball's maximum height? 4.61479 x feet. feet f. How far horizontally will the ball be when it reaches its maximum height? 77.63571 ×Erza is running her wagon on straight road while chasing Natsu at 200.0 kph. After driving for some time, Erza approaches a curve causing her to tum 180.0 deg then drives straight again. Assume that the curved part of the roadis an arc of a circle with radius of 13.00 m. Speed is constant throughout the travel. A. What is the acceleration's magnitude, in m/s^2, 6.981 s after leaving the curve? B. What is the angular speed, in rpm, while on the curve?A slender rod through the origin of the polar coordinate plane ro-tates (in the plane) about the origin at the rate of 3 rad/ min. A beetle starting from the point (2, 0) crawls along the rod toward the origin at the rate of 1 in./ min. a. Find the beetle’s acceleration and velocity in polar form when it is halfway to (1 in. from) the origin. b. To the nearest tenth of an inch, what will be the length of the path the beetle has traveled by the time it reaches the origin ?
- 3. a. Since we use friction to accelerate our cars around turrns, we can't take turns as fast in wet or snowy weather. What is the minimum radius turn you can make at a speed of 56.5 mph (25.2555 m/s) in dry weather with Us=0.75? Suppose the road is flat. 3.4361 Previous submissions: b. What is the minimum radius turn you can make at the same speed when it's snowing and us = 0.25? 10.3083 Previous submissions: m m incorrect incorrectIn 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: 77.0 m/s² Express this acceleration in terms of a multiple of g. acceleration as a multiple of g: 7.86 8 If you want to decrease the acceleration by 24.0% 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: %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:
- 16. A plane is circling the airport with a speed of 145ms. The radius of the plane’s path is 1870m. How long does it take for the plane to complete 1 circle around the airport?t= s*Round your answer to the nearest thousandth if necessary.On an otherwise straight stretch of road near Moffat, Colorado, the road suddenly turns. This bend in the road is a segment of a circle with radius 110 m. Drivers are cautioned to slow down to 40 mph as they navigate the curve.a. If you heed the sign and slow to 40 mph, what will be your acceleration going around the curve at this constant speed? Give your answer in m/s2 and in units of g.b. At what speed would your acceleration be double that at the recommended speed?Asap