A barge with mass m = 800 kg is being pulled using two different horizontal ropes. The tension in each rope is T = 800 N . What is the acceleration of this barge (in m/s2)? Neglect the force of friction. Motion
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- Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull out of such a dive, a falcon extends its wings and flies through a circular arc that redirects its motion. The forces on the falcon that control its motion are its weight and an upward lift force—like an airplane—due to the air flowing over its wings. At the bottom of the arc, as shown, a falcon can easily achieve an acceleration of 15 m/s2. A falcon starts from rest, does a free-fall dive from a height of 30 m, and then pulls out by flying in a circular arc of radius 50 m. Which segment of the motion has a higher acceleration?A. The free-fall diveB. The circular arcC. The two accelerations are equal.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 3.40 m/s 2. Ignore friction. 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?Most aircraft need an airspeed of about 120 knots (61.7 m/s) to lift off. If a fully laden b-52 starts from rest with an acceleration of 4.16 m/s2, how long a runway does it need to be able to take off?
- A rock of mass 51.2 kg accidentally breaks loose from the edge of a cliff and falls straight down. The magnitude of the air resistance that opposes its downward motion is 15.7 N. What is the magnitude of the acceleration of the rock?A helicopter is lifting off from the ground and is moving vertically upward. The graph shows its vertical velocity vy versus time. How high is the helicopter after 8 s have elapsed? * +6.0 *+3.0 00 2.0 4.0 6.0 8.0 10.0 12.0 t (s)Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull out of such a dive, a falcon extends its wings and flies through a circular arc that redirects its motion. The forces on the falcon that control its motion are its weight and an upward lift force—like an airplane—due to the air flowing over its wings. At the bottom of the arc, as shown, a falcon can easily achieve an acceleration of 15 m/s2. Suppose the falcon weighs 8.0 N and is turning with an acceleration of 15 m/s2 at the lowest point of the arc. What is the magnitude of the upward lift force at this instant?A. 8.0 N B. 12 NC. 16 N D. 20 N
- A car moves along the positive x-axis. The position of the car is given by the equation r = 2.0t4 –3t2 + 10.00t3 +t. Find the acceleration of the car at t = 2.5s. Time is given in seconds and r is in cm. Express your answer in cm/s2.A body moving with uniform acceleration has a velocity of 11.5 cm/s when its X coordinate is 5.0 cm. If its * coordinate 6.0 s later is -5.0 cm, what is its acceleration?A boxer's fist and glove have a mass of m = 1.04 kg. The boxer's fist can obtain a speed of v = 9.25 m/s in a time of t = 0.21 s. Write a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided. Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?
- A block is sliding with an initial velocity of 4.0 m/s. If the block suddenly begins to accelerate in the opposite direction with a magnitude of 0.5 m/s2, how far does the block slide before coming to a complete stop?On average, froghopper insects have a mass of 12.7 mg and jump to a height of 473 mm. The takeoff velocity is achieved as the little critter extends its legs over a distance of approximately 2.00 mm. Assume that the +?-direction is upward, and assume a vertical jump with constant acceleration. What is the froghopper's acceleration ?jump during the jump (the jump itself, not the time in the air)? ?jump= m/s2 During the jump itself, how much time ? are the froghopper's feet in contact with the ground? ?= s What force ? does the ground exert on the froghopper during the jump itself? Express your answer in millinewtons. ?= mNA car is moving at 18.00[m/s], and comes to a stop in 3.45[s], due to friction acting on the car. Assuming the acceleration is constant, what is the magnitude of the acceleration experienced by the car? Express your answer in m/s2.