Find the normal accelerations at A and B. Answers: At A, an= i N At B, an= i N The cars of an amusement park ride have a speed va = 17 m/s at A and a speed vg = 10 m/s at B. If a 87-kg rider sits on a spring scale (which registers the normal force exerted on it), determine the scale readings as the car passes points A and B. Assume that the person's arms and legs do not support appreciable force. UB 47 m B VA 24 m A
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A: For solution refer below images.
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- The 18 000-kg F-35B uses thrust vectoring to allow it to take off vertically. In one maneuver, the pilot reaches the top of her static hover at 200 m. The combined thrust and lift force on the airplane applied at the end of the static hover can be expressed as F = (44t + 2500t2)i + (250t2 + t + 176 580)j, where F and t are expressed in newtons and seconds, respectively. Determine how long it will take the airplane to reach a cruising speed of 1000 km/hr (cruising speed is defined to be in the x-direction only).It takes 34 s for the 60-Mg tugboat to increase its speed uniformly to 25 km/h, starting from rest. The propeller provides the propulsion force F which gives the tugboat forward motion, whereas the barge moves freely. The barge has a mass of 84 Mg . (A) Determine the force of the rope on the tugboat. Express your answer to three significant figures and include the appropriate units. (B) Also, determine F acting on the tugboat. Express your answer to three significant figures and include the appropriate units.A 1125 kg car and a 2250 kg pickup truck approach a curve on a highway that has a radius of 225 m. (a) At what angle should the highway engineer bank this curve so that vehicles traveling at 65.0 mi>h can safely round it regardless of the condition of their tires? Should the heavy truck go slower than the lighter car? (b) As the car and truck round the curve at 65.0 mi>h, find the normal force on each one due to the highway surface.
- It takes 34 s for the 60-Mg tugboat to increase its speed uniformly to 25 km/h, starting from rest. The propeller provides the propulsion force F which gives the tugboat forward motion, whereas the barge moves freely. The barge has a mass of 84 Mg . (A) Determine the force of the rope on the tugboat. Express your answer to three significant figures and include the appropriate units. The answer is not 17145.882 or 12254.12 NA 250-N(≈25-kg) cabinet is placed on a smooth surface. If a force of a 300 N is applied for 1 s, determine the net impulse on the cabinet during this time intervalGiven a 1400 kg car traveling along a route with an increasing vertical profile y=0.0003x^2. Determine the x-component of the car's velocity (m/s) and the total force (kN) if the constant velocity is 30 m/s and the distance is 210m. Hint: A line's slope is equal to tan theta, where theta is an angle measured from the x-axis.
- The carnival ride from Prob. 12.51 is modified so that the 80-kg riders can move up and down the inclined wall as the speed of the ride increases. Assuming that the friction between the wall and the carriage is negligible, determine the position h of the rider if the speed v0 = 13 m/s.Reference to Problem 12.51:A body weighing 445 N is drawn along a rough surface. The force applied in the direction of motion is 135 N while the frictional force is 90 N. if there is an air resistance whose magnitude (in N) is equal to twice the velocity (m/s) at any instant, assume the body to start from rest.Determine the displacement at any time, t.The 10 kg block is subject to the action of a force that has the constant direction towards the spring, with a magnitude F= 250 (1 + x) N, where x is measured in meters. If the coefficient of kinetic friction between the block and the horizontal surface is 0.20, and ks= 50 N/m Use the springs por your calculations Determine: a) The work done by all the forces acting on the block during a movement from A to B. b) If the block starts from rest at point A, determine its velocity at point B using the equation of motion (Newton's 2nd Law). c) Verify the speed obtained in b) through the equation of work and Kinetic Energy. d) Explain the differences between the two methods used to find the velocity, from the point of view of the volume of calculations. Recomendations: 1. No force (except weight) is constant throughout travel 2. Acceleration is not constant at any point along the way. 3. When applying Newton's second law, it is advisable to do it in two sections. 4. Review the…
- The lower block of mass m2 = 3.2 kg is pulled on by a rope with a tension force of 28 N. The upper block has mass m1 = 1.8 kg. The coefficient of kinetic friction between the lower block and the surface is 0.32. The coefficient of kinetic friction between the lower block and the upper block is also 0.32. What is the acceleration of the 3.2 kg block?The 50-kg crate is hoisted up the 30o incline by the pulley system and motor M. If the crate starts from rest and by constant acceleration attains a speed of 9.5 m/s after traveling 11.5 m along the plane, determine the power in kW that must be supplied to the motor at this instant. Neglect friction along the plane. The motor has an efficiency ϵ = 0.53.A 2404 lb car is moving up a 7 degree incline as shown. Determine how many seconds will it take for the car to decelerate from 105 ft/s to 35ft/s, if the braking force is equal to 52 lb assuming that deceleration is constant and frictional effects are neglected.