on is Required) [10 marks] 15. A 1450kg car making a turn on a dry banked highway ramp with an angle of inclination of 7.5° is experiencing friction. The coefficient of static friction between the tires and the road is 0.47. a. Draw a Free-Body-Diagram for the car. Assume the car is moving near its max safe speed.[2 marks] b. Determine the maximum speed at witch the car can safely negotiate a turn of radius 2.0x10²m. [5 marks]
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- A car is moving in a circular road ( radius of 56.1 m) with a speed of 12.3 m/s. Find the minimum static friction coefficient between the wheels of the car and the road to keep the car moving without sliding. Select one: O A. 0.275 B. 0.410 O C. 0.324 O D. 0.391 O E. 0.3568. A block is at rest on a rough inclined plane and is connected to an object with the same mass as shown. The rope may be considered massless; and the pulley may be considered frictionless. The coeffi- cient of static friction between the block and the plane is us; and the coefficient of kinetic friction is k 0 A. g D. g - Hk sin(0) m a. What is the magnitude of the static frictional force acting on the block? B.m g [1 - sin(0)] C. mg D. mg cos(0) B. g - Hk cos(0) A. m g sin(0) E. mg [1 - cos(0)] b. If the rope were cut between the block and the pulley, what would be the magnitude of the acceleration of the block down the plane? C. g [sin(0) - μ cos(0)] sin(0)] c. If the mass of the suspended object is doubled, what will be the acceleration of the block up the plane? B. g [2 tan(0) - uk sin(0)] D. 2g [μ sin(0) - cos(0)] m E. g [tan (0) A. g [2 - μk sin(0)] C. g [2 cos(0) - μ sin(0)] E. g [2 sin(0) Hk Cos (0)]. -1.A roofer is dreagging a 15.0kg bundle of shingles up a roof at a constant speed.The roof is sloped at an angle of 30o with respect to the horizontal. d)Calculate the force parallel to the roof with which the roofers must pull on the rope to move the shringles at a constant speed up the roof.Answer to 3 significant digits. e) Suppose an astronaut was building a similar structure on Mars.What would be the force component perpindicular to the roof of the weight of a 15.0 kg bundle of materials on the surface of Mars? The mass of Mars is 6.42x1023kg and the radius of mars is 3.30x106 m. Answer to 3 significant digits.
- 3. Two blocks with unequal masses, M and m (M> m), are connected by a light, very long string passing over a pulley of negligible mass, as shown in the figure, and then released. Friction is negligible. a. If one of your classmates calculated that, once released, the acceleration of the blocks would be g, '6 without doing any calculations, say whether or not this could be a reasonable value for the acceleration. Draw and label a free body diagram (FBD) for each block. (Be sure your drawings show clearly any information you know about the directions and relative magnitudes of the forces.) Rank the relative magnitudes of all forces in your FBDS. (I'm looking for a single ranking that includes every different force drawn and labeled in both FBDS, separated by , or =.) heavy block: b. light block: relative sizes of all forces in FBDS: C. Use the FBDS from the previous part, and Newton's 2nd Law, to derive an expression (in terms of M, m and g) for the acceleration of the blocks once…The net external force on the 25.5kg mower is 48.0N. If the force of friction is 22.5N. a. What force F in newtons is the person exerting on the mower? b.Suppose the mower is moving 1.10 m/s when the force F is removed. How fat will the mower go before stopping?10. The 500KN is in contact with a 450 inline. The coefficient of static friction is 0.25. Compute the value of the horizontal force P necessary to Just prevent motion down the incline. 11. The 500KN is in contact with a 450 inline. The coefficient of static friction is 0.25. If P=400, What is the amount and direction of the friction force.
- 5. A mass of 10kg sits on a level surface. One end of the surface is raised until the block begins to slide down the ramp at a constant velocity and angle of 20⁰. c. What is the Normal Force, N? d. What is the Frictional Force, Ff?To prevent the ladder weighing 600N from sliding down, the man exerts a horizontal force at C. The coefficient of friction at A= 0.2 while surface B is frictionless Find the vertical reaction at Aa. 600N c. 500Nb. 700N d. 800NFind the horizon reaction at Aa. 150N c. 210Nb. 180N d. 120NFind the horizon force exerted by the man at Ca. 533.3N c. 333.3Nb. 667.7N d. 767.6N4. The roller coaster 'Scream' at Six Flags Magic Mountain has a vertical circular loop. After a huge 141 ft drop, you enter the bottom of this loop with a radius of 64.0 ft at the ride's top speed of 64.3 mph. If you have a mass of 56.2 kg, calculate the normal force exerted on you by the seat of the coaster. Express your answer in terms of your weight, mg. a. 5.32mg b. -5.32mg с. -3.32mg d. 7.59mg е. 3.32mg
- 1. For the kinetic friction experiment, derive a formula for the coefficient of kinetic friction µk given that an object on a ramp with angle 0 has constant acceleration a. [Hint: There are three forces involved. Using Newton's 2nd law, what do the forces have to sum to? What is the formula for kinetic friction?]11. A 50.0 [N] box is moving on a rough slide with coefficient of kinetic friction Hx = 0.815 inclined at an angle 0 = 30.0°. What must be the magnitude of force F such that thể box will accelerate at 11.0 m%2 ? A. 559.9 [N] C. 71.3 [N] B. 117.0 [N] D. 66.4 [N]LETTER ONLY 1. A Jollibee delivery man travels 5 km, North and then 3 km, East to deliver the order. What is angle from the + x- axis is the delivery man? A. 31^o B. 95^o C. 59^o D. 56^o 2. Which of the following is the MOST difficult to start moving? A. A box on the floor with a weight of 100 N and has a coefficient of static friction of 0.45. B. A 550 N cart and with a coefficient of static fiction with the floor of 0.2 C. A 250 N metal crate and with a coefficient of static friction of 0.6 with the floor. D. A 50 N rolling tray and with a coefficient of static friction of 0.1 with the ground.