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14.07.2019 •
Physics
Apolice officer in hot pursuit drives her car through a circular turn of radius 366 m with a constant speed of 83.6 km/h. her mass is 56.1 kg.what are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (hint: consider both horizontal and vertical forces.)
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Ответ:
(a) Net force=556 N
Explanation:
Horizontal force= Fh= centripetal force
so Fh= mv²/r
m= mass=56.1 kg
v= velocity= 83.6 km/h=23.2 m/s
r= radius of circular turn= 366 m
so Fh= 56.1 (23.2)²/366=82.5 N
Vertical force = Fv= mg= 56.1 (9.8)=550 N
so the magnitude of net force = F=√(82.50)²+(550)²=556 N
(b) for angle, tanθ=Fv/Fh
tanθ= 550/82.5
θ=tan⁻¹(6.67)
θ=81.5⁰
Ответ: