Otis is a mechanical engineer who designs a 1900 kg elevator to accelerate downward at a rate of 1.10 m/s^2. determine the magnitude of the tension in the cable during a test run of this system.
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Otis is a mechanical engineer who designs a 1900 kg elevator to accelerate downward at a rate of 1.10 m/s^2. determine the magnitude of the tension in the cable during a test run of this system.
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- Why is the following situation impossible? A 1.30-kg toaster is not plugged in. The coefficient of static friction between the toaster and a horizontal countertop is 0.350. To make the toaster start moving, you carelessly pull on its electric cord. Unfortunately, the cord has become frayed from your previous similar actions and will break if the tension in the cord exceeds 4.00 N. By pulling on the cord at a particular angle, you successfully start the toaster moving without breaking the cord.If a single constant force acts on an object that moves on a straight line, the objects velocity is a linear function of time. The equation v = vi + at gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation v = vi kx, where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.A sleigh is being pulled horizontally by a train of horses at a constant speed of 8.05 m/s. The magnitude of the normal force exerted by the snow-covered ground on the sleigh is 6.37 103 N. a. If the coefficient of kinetic friction between the sleigh and the ground is 0.23, what is the magnitude of the kinetic friction force experienced by the sleigh? b. If the only other horizontal force exerted on the sleigh is due to the horses pulling the sleigh, what must be the magnitude of this force?
- A 4.0 kg block is on a horizontal surface with coefficient of static friction = 0.25 and an unknown coefficient of kinetic friction. A person pushes horizontally on the block. When the block is pushed with 4.0 N of force in the same direction that the block is sliding, it slows down at a rate of 1.0 m/s2 . The magnitude of the kinetic friction force is ____ N.A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 592 N. As the elevator later stops, the scale reading is 400 N. Assume the magnitude of the acceleration is the same during starting and stopping.You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of 2400 kg (including passangers). For passenger comfort, you choose the maximum ascent speed to be 18.0 m/s, the maximum descent speed to be 10.0 m/s, and the maximum acceleration magnitude to be 3.20 m/s^2. Ignore friction. What is the maximum upward force that the supporting cables exert on the elevator car? What is the minimum upward force that the supporting cables exert on the elevator car? What is the minimum time it will take the elevator to ascend from the lobby to the observation deck, a vertical displacement of 640 m? What is the maximum value of a 60.0 kg passanger's apparent weight during the ascent? What is the minimum value of 60.0 kg passenger's apparent weight during the ascent? What is the minimum time it will take the elevator to descend to the lobby from the observation deck, a vertical displacement of 640 m?
- In the figure, a tin of anti-oxidants (m1 = 4.7 kg) on a frictionless inclined surface is connected to a tin of corned beef (m2 = 2.4 kg). The pulley is massless and frictionless. An upward force of magnitude F = 6.4 N acts on the corned beef tin, which has a downward acceleration of 4.7 m/s2. What are (a) the tension in the connecting cord and (b) angle β?A sports car is accelerating up a hill that rises 18° above the horizontal. The coefficient of static friction between the wheels and the road is μs = 0.88. It is the static frictional force that propels the car forward. (a) What is the magnitude of the maximum acceleration that the car can have? (b) What is the magnitude of the maximum acceleration if the car is being driven down the hill?You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of 2400 kg (including passengers). For passenger comfort, you choose the maximum ascent speed to be 18.0 m/s, the maximum descent speed to be 10.0 m/s, and the maximum acceleration magnitude to be 5.00 m/s2. Ignore friction. What is the maximum upward force that the supporting cables exert on the elevator car?
- You are pushing a rubber crate against a concrete floor. The two surfaces have a static coefficient of friction of 0.61 and a kinetic coefficient of friction of 0.49. The floor is horizontal, and the crate has a mass of 25.0 kg, and is initially at rest. You are pushing with a horizontal force of 100 N. What is the magnitude of the force of friction in this case? Give your answer in units of N, to three significant figures.The box below has been given an initial velocity of 2.60 m/s directed up the ramp. The angle the incline makes with the horizontal is 34.0°. The coefficient of static friction between the box and the ramp is 0.430 while the coefficient of kinetic friction between the box and the ramp is 0.280. Use g = 9.80 m/s2. (a) Calculate the magnitude of the box's acceleration while it is sliding up the ramp. m/s2 (b) How far (measured parallel to the incline) does the box travel before coming instantaneously to rest? m (c) After the box comes instantaneously to rest on the ramp, it then either starts sliding down, or remains at rest. Either enter 0, if you determine that the box remains at rest, or calculate the magnitude of the box's acceleration while it is sliding back down the ramp. m/s2A box of mass m = 20.0 kg is pulled up a ramp that is inclined at an angle 0 = 15.0° angle with respect to the horizontal. The coefficient of kinetic friction between the box and the ramp is µ = 0.335, and the rope pulling the box is parallel to the ramp. If the box accelerates up the ramp at a rate of a = 2.89 m/s?, calculate the tension Fr in the rope. Use g = 9.81 m/s? for the acceleration due to gravity. Fr =
