A 5.0-kg object is to be given an upward acceleration of 0.30 m/s2 by a rope pulling straight upward on it. What must be the tension in the rope?
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A 5.0-kg object is to be given an upward acceleration of 0.30 m/s2 by a rope pulling straight upward on it. What must be the tension in the rope?
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- An Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. Assume that the rope and pulley are massless and that there is no friction in the pulley. If the masses have the values ?1=19.5 kg and ?2=12.5 kg, find the magnitude of their acceleration ? and the tension ? in the rope. Use ?=9.81 m/s2.An elevator cab that weighs 20.8 kN moves upward. What is the tension in the cable if the cab's speed is (a) increasing at a rate of 1.10 m/s2 and (b) decreasing at a rate of 1.10 m/s2?Two blocks A and B with mA = 0.9 kg and mB = 0.80 kg are connected by a string of negligible mass. They rest on a frictionless horizontal surface. You pull on block A with a horizontal force of 7.8 N. (A) Find the magnitude of the acceleration (in m/s2) of the blocks. (B) Determine the tension (in N) in the string connecting the two blocks.
- If a 3.10 kg body has an acceleration of 7.20 m/s directed at 38.0° to the positive x axis, what is the x component of the net force acting on the body?A 9 kg fish hangs from a fishing line. The fish is lowered, such that the tension in the line is 60% of what the tension would be at rest. What is the magnitude of the acceleration of the fish? Answer to 3 sig figs.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 3.30 m/s2. Ignore friction. (a)What is the maximum upward force that the supporting cables exert on the elevator car? ___kN (b)What is the minimum upward force that the supporting cables exert on the elevator car? ____kN
- An object with mass m₁ = 5.50 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m₂ = 11.2 kg, as shown in the figure. m₁ m₂ (a) Find the magnitude of the acceleration of each object. a₁ = m/s² m/s² 3₂ = (b) Find the tension in the cable.An elevator filled with passengers has a mass of 1.70 × 103 kg . (a) The elevator accelerates upward from rest at a rate of 1.20 m/s2 for 1.50 s. Calculate the tension in the cable supporting the elevator. (b) The elevator continues upward at constant velocity for 8.50 s. What is the tension in the cable during this time? (c) The elevator decelerates at a rate of 0.600 m/s2 for 3.00 s. What is the tension in the cable during deceleration? (d) How high has the elevator moved above its original starting point, and what is its final velocity?Two masses, m1 = 5 kg and m2 = 4 kg, are situated on a frictionless horizontal surface and connected by a rope. A force, F = 18 N, on the mass to the right. Determine the magnitude of the acceleration, a, of the two masses movingon the horizontal surface. Determine the tension T in the rope.
- A student attaches a rope to a 32 kg box, and drags it to the left with constant velocity of 1.08 m/s. The tension in the rope is 235 N at an angle of 48.7° to the ground. How much does the box weigh? 313.92 Find the x and y components of the applied (tension) force: Fx = 155.10 V o N %3D Fy = 176.5 N. %3D How much friction must be present? 155.10 V oN How much Normal force must be present? N. Submit QuestionSuppose a 64.0 kg gymnast climbs a rope. (a) What is the tension (in N) in the rope if he climbs at a constant speed? (b) What is the tension (in N) in the rope if he accelerates upward at a rate of 1.70 m/s?Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the positive x-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive x-axis.. With what tension and direction (with respect to the positive x -axis) should the third rope pull so that the object has an acceleration of zero? (Ignore any and all forces other than the ropes). Show your work!