A worker develops a tension T in the cable as he attempts to move the 41-kg cart up the 19° incline. Determine the resulting acceleration a of the cart if (a) T = 120 N and (b) T = 158 N. Neglect all friction, except that at the worker's feet. The acceleration a is positive if up the slope, negative if down the slope.
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- 12. A 3.00-kg block starts from rest at the top of a 30.0° incline and slides a distance of 2.00 m down the incline in 1.50 s. Find (a) the magnitude of the acceleration of the block, (b) the coefficient of kinetic friction between block and plane, (c) the friction force acting on the block, and (d) the speed of the block after it has slid 2.00 m. Answers: a) 1.78 m/s² b) 0.368 c) 9.37 N d) 2.67 m/sTwo packing crates of masses m, = 10.0 kg and m, = 7.30 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 7.30-kg crate lies on a smooth incline of angle 43.0°. Find the following. m, (a) the acceleration of the 7.30-kg crate m/s2 (up the incline) (b) the tension in the string NThe 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/s2
- The distance between two telephone poles is d = 54.0 m. When a 1.20 kg bird lands on the telephone wire midway between the poles, the wire sags h = 0.206 m. (a) Draw a free-body diagram of the midpoint of the wire (where the bird is perched). mg O X* (b) How much tension (in N) does the bird produce in the wire? Ignore the weight of the wire. 3.15 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N Need Help? Read ItQHQBP A(n) 11 kg mass is on an incline, with a = 4.7_m and b = 2.3_m. The coefficient of kinetic friction between the mass and the surface of the incline is k = 0.38. If the mass is initially near the top of the incline and sliding down, then what is the mass's acceleration down the incline? m b 16. 0.9627_m/s² 1.041_m/s² 1.103 m/s² A. B. C. 1-1 a D. E. F. 1.137 m/s² 1.01 m/s² 1.073_m/s²A sphere of mass 4.7 × 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 26° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord.
- F(t) Force_Crate Known values: Mass of Block 68 kg TT Hs μk 0 0.63 0.53 26° Problem Statement: A crate is initially at rest on a sloped surface, when a force is applied: F(t) where t is in seconds. Answers: When t=44.47 seconds, the crate has not yet started moving. Find the magnitude of the friction force at that time: 317.771 N The direction of the friction force at that time is: down the slope Find the time required for the crate to start moving: Find the crate's speed when t=174.9 s: 9.485 m/s Be sure to include units with your answers. 169.756 S 240+0.2 N,You must push a crate across a floor to a docking bay. The crate weighs 183 N. The coefficient of static friction between crate and floor is 0.500, and the coefficient of kinetic friction is 0.300. Your force on the crate is directed horizontally. (a) What magnitude of your push puts the crate on the verge of sliding? (b) With what magnitude must you then push to keep the crate moving at a constant velocity? (c) If, instead, you then push with the same magnitude as the answer to (a), what is the magnitude of the crate's acceleration? (a) Number i (b) Number (c) Number i Units Units UnitsWhile loading furniture into a truck, you push a 1.56 kg chair up a 14.7 degree ramp, with a horizontal force of 12.1 N. How long does it take to reach a speed of 4 m/s, starting from rest? The coefficient of kinetic friction chair - ramp is 0.345.
- A block of mass 1.96kg is accelerated across a rough surface by a rope passing over a pulley, as shown in the figure below. The tension in the rope is 14.0N, and the pulley is 10.8cm above the top of the block. The coefficient of kinetic friction is 0.350. Calculate the value of x at which the acceleration becomes zero.A constant force Fa pushes a 22.5-kg box across a rough horizontal surface. The magnitude of Fa is 185 N and the force is inclined at an angle of θ = 30.0° below the horizontal. The coefficient of kinetic friction between the box and the surface is μk = 0.500. What is the magnitude of the box's acceleration?A elevator accelerates upward in 3.2 s to a final speed of 7.2 m/s. Determine the apparent weight of a passenger with mass of 56 kg.