3 Nov. 2017 at 1130 (Sec 03) For each of the following questions, work out the s

Question

3 Nov. 2017 at 1130 (Sec 03) For each of the following questions, work out the solution using the problem-solving method discussed in class and described in detail in the Survival Guide. Clearly label your submission by printing your class, section, name, and student number in the upper right-hand corner of each page. Please staple your written assignment pages together before submitting. 1. A car, with mass 1250 kg, drives over a hill. The rounded crest of the hill has a radius of curvature in the vertical plane of 52.0 m. (a) If the car, when it reaches the top of the hill is moving at a constant speed of 45.0 km/h, calculate the magnitude of the normal force on the car from the road. (b) Calculate the maximum speed that the car can drive over the hill so that its wheels do not leave the road surface. Give the answer in km/h. 52.0 m In 1993 the spacecraft Galileo sent home an image of asteroid 243 Ida and a tiny orbiting moon, now known as Dactyl This was the first example 2. Ida

Explanation / Answer

(a)

Apply Newtons law along vertical direction

           N + mv2 /r = mg

           N = mg - mv2 /r

= 1250( 9.8 - 45 ( 1000/ 3600))^2/ 52)

=8494 N

(b)

the maximum speeed is

v= sqrt rg= sqrt ( 52) ( 9.8) = 22.57 m/s ( 3.6 kilometers / hour/ m/s) = 81.26 km/hr

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