A car enters a level, unbanked semi-circular hairpin bend with a radius of 300 m at a speed of 120 km/h. The coefficient of friction between the tyres and the road is U = 0.250. If the car maintains the constant speed of 120 km/h, show that the likely fate for the car will be to veer toward the outside of the circle.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A car enters a level, unbanked semi-circular hairpin bend with a radius of 300 m at a speed of 120 km/h.
The coefficient of friction between the tyres and the road is U = 0.250. If the car maintains the constant speed
of 120 km/h, show that the likely fate for the car will be to veer toward the outside of the circle.

3.2(a) A block of mass m on a horizontal frictionless surface is attached to a light spring with force constant k.
The block is initially at rest at its natural (equilibrium) position when a force P acting parallel to the surface, is
applied to the block as shown. What is the speed of the block when it is at position x from its equilibrium
position? (5)


3.2(b) If the block has a mass of 12 kg, the spring constant has a value of 0.80 kN/m when the block is initially
at rest at the equilibrium position when a force of magnitude P = 80 N acting parallel to the surface is applied
to the block. What is the speed of the block when it is 13 cm from the equilibrium position?

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