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- 24) A hang glider and its pilot have a total mass equal to 109kg. While executing a 360 degree turn the glider moves in a circle with an 16 meter radius. The gliders speed is 8m/s. What is the net force on the hang glider? State the answer in Newtons and keep 1 decimal in the answer.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 speedof 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, isapplied to the block as shown. What is the speed of the block when it is at position x from its equilibriumposition? (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 initiallyat rest at the equilibrium position when a force of magnitude P = 80 N acting parallel to the surface is appliedto the block. What is the speed of the block when it is 13 cm from the equilibrium position?4. A ball with a mass of 2 kg is attached to a string and is rotated in a vertical circle with a radius of 0.5 meters and a constant speed of 4 m/s. Find the force of tension in the string when the ball is (a) at the top and (b) at the bottom of the circular rotation. Draw free-body diagrams of the ball in each case and use Newton's Second Law to calculate this. (a) Ball at the top: m (b) Ball at the bottom: m
- 5. In a carnival ride called the Giant Swing, a seat is connected to two cables, one of which is horizontal (see figure). The seat swings in a horizontal circle with a frequency of 18.0 rev/min. If the seat weighs 205 N and an 655-N person is sitting in it, find the tension in each cable. 40.0⁰ -7.50 m- >4) Is it safe to drive your 1600-kg car at a speed of 27 m/s around a level highway curve of radius 150 m if the effective coefficient of static friction between the car and the road is 0.40? Explain.5. An automobile enters a turn whose radius is R. The road is banked at an angle 0, and the coefficient of static friction is u. (a) Find the largest speed for which the car will not skid upwards along the bank. (b) Find the smallest speed for which the car will not skid downwards along the bank. sine – u cose cose + µsino sine + u cos0 2 [Ans: Vmax = Rg- cos0 – µsin0 2 %3D min = Rg
- 66. A stuntman whose mass is 70 kg swings from the end of a 4.0-m-long rope along the arc of a vertical circle. Assuming he starts from rest when the rope is horizon- tal, find the tensions in the rope that are required to make him follow his circular path (a) at the beginning of his motion, (b) at a height of 1.5 m above the bottom of the circular arc, and (c) at the bottom of the arc.7. A bucket of water is swung in a vertical circle. (a) Compare the tension in the string at the top of the circle with the tension in the string at the bottom of the circle. 1 meter Top > Tbottom Ton < Tpottom top bottom top Justify your answer. (b) The string is cut at the location where the arrow is pointing. In what direction will the bucket fly? down up along the path of the circle Justify your answer.27. A car resting on a level road acting on it: its weight (down) and the nor- mal force (up). Recall from Chapter 4 that the normal force is the support force, which is always perpendicular to the supporting sur- face. If the car makes a turn on a level road, the normal force is still straight up. Friction between the wheels and road is the only cen- tripetal force providing curved motion. Suppose the road is banked so the normal force has a component that provides cen- tripetal force as shown in the sketch. Do you think the road could be banked so that for a given speed and a given radius of curvature, a vehicle could make the turn without fric- tion? Explain. Normal Weight
- Ch.5 Problem 795. A 1900 kg car rounds a curve of radius 73.0 m banked at an angle of 15.0°. What is the magnitude of the friction force required for the car to travel at 86.0 km/h? X10969.8 N R DF V T B MacBook Air H 7 N 8 M 9 K MOSISO command option5. When a road is dry, a particular car can safely navigate a turn with a 155 m radius of curvature at a maximum speed of 26.0 m/s without slipping. What is the coefficient of static friction between the tires and the road?