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A police officer in hot pursuit drives her car through a circular turn of radius 353 m with a constant speed of 74.1 km/h. Her mass is 54.1 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.)

Respuesta :

Answer:

Part a)

[tex]F_c = 64.9 N[/tex]

Part b)

the angle relative to vertical is 90 degree

Explanation:

When car is moving in circle with uniform speed then the force on the car is always towards the center of the circle

This force is known as centripetal force

[tex]F_c = \frac{mv^2}{R}[/tex]

now we have

m = 54.1 kg

[tex]v = 74.1 km/h = 20.6 m/s[/tex]

[tex]F_c = \frac{54.1(20.6^2)}{353}[/tex]

[tex]F_c = 64.9 N[/tex]

Part b)

Since there is no acceleration of car in horizontal direction while it has vertical acceleration towards the center

so the angle relative to vertical is 90 degree

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