A high-speed railway car goes around a flat, horizontal circle of radius 480 m at a constant speed. The magnitudes of the horizontal and vertical components of the force of the car on a 65.0 kg passenger are 208 N and 637 N, respectively. (a) What is the magnitude of the net force (of all the forces) on the passenger? (b) What is the speed of the car?

Net force ( F ) = 208 N.

Speed of car ( v ) = 68.58 m/s.

Explanation:-

The radius ( r ) = 480 m.

Mass of passenger ( m ) = 65 kg.

Horizontal force ( ) = 208 N.

Vertical force ( ) = 637 N.

Net vertical component of force ( ) = m*g - 637   = 65 * 9.8 - 637 =  0 N.

a ) magnitude of net force .

  = 208 N.

b) The speed of car.

   where v is the velocity.

v² = 4704

v = 68.58 m/s.

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