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- In the figure, is the tension in the rope between the ceiling and Superhero the same as the tension in the rope between Superhero and Trusty Sidekick? A. Jimmy: "Yes, of course it is the same. It's a single rope with a single tension force on both ends. Booyah!" B. Emmy: "I think they are different. The tension in the space between Superhero and Trusty Sidekick only has to hold up Trusty Sidekick, but the tension above Superhero has to hold up both Superhero and Trusty Sidekick. C. Timmy: "Wouldn't your, 'both ends' be the end on the ceiling and the end at Trusty Sidekick? How can you have a different 'both ends' for the space between Superhero and Trusty Sidekick? Wouldn't that only work if they had two different ropes? Or if the rope breaks? The rope clearly holds, so the tension force must be the same everywhere along the rope. " D Figure 438 Superhers and Tunty Sickick hang mess on a pe as they try to figure out what to do next Will the tension the the same everywhere in the pA 38.0-kg child swings in a swing supported by two chains, each 3.08 m long. The tension in each chain at the lowest point is 420 N. (a) Find the child's speed at the lowest point. m/s (b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.) N (upward) Need Help? Read Master11. Jason works for a moving company. A crate of mass m is sitting on a ramp on his truck; the ramp is angled at an angle with respect to the horizontal. The coefficients of static friction and kinetic friction between the crate and his truck bed are p, and , respectively. What is the magnitude of the force, directed parallel to the ramp, that he needs to exert on the crate to get it to start moving (a) up the ramp and (b) down the ramp? Your answers will be in terms on the symbols m, 0, μs, k and g.
- 1. In the system shown in the figure, m₁ = 18.3 kg, m₂ = 38.2 kg, a = 48.2°, and the coefficient of kinetic friction between the block with mass m₁ and the inclined surface is uk. What coefficient of friction is needed for the hanging block to drop 9.45 m in the first 2.50 s after the system is released from rest? (Hint: it is accelerating downward, so don't treat it like it is moving at a constant speed.) m₁ α m₂9. Two blocks are positioned on surfaces, each inclined at the same angle of 58.3 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.66 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.460. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? 2.16 kg 9.99 kg 6.02 kg 3.06 kgtion 1 of 4 A crate hangs from a rope that is attached to a metal ring. горе The metal ring is suspended by a second rope that is attached overhead at two points, as shown. What is the angle горе Rope 2 0 if the tension in rope 1 is 1.30 times the tension in rope 2? Rope 1 hp 112 insert prt ho f9 144 f8 f6 10 & back 5
- 10. In the figure below, a mass of 500 kg is held motionless in the air by a 120-kg boom and a rope. Find the tension in the rope. Find the force exerted on the boom by the pin at P. The angles are 0 = 30.0° and o = 45.0°. PA student wants to angle a ramp such that if she releases a 2.8kg cart at the top of a ramp, the cart will travel 210cm and hit the end of the ramp in 1.6s. Neglect backwards friction and drag. What does the magnitude of the net force on the cart need to be? What does the magnitude of the cart's acceleration need to be? At what incline angle (0) does the ramp need to be slanted? m/s2 What will be the maximum speed of the cart? m/s cannot be detem check answers23. Two blocks are attached to a light string. Block A (mA=7.9kg) is at rest on a frictionless table. Block B (mB=1.36kg) hangs off the edge of the table, as shown. Both blocks are released from rest.Using the single-system approach, what is the acceleration of the system?a= ms2 Block A is on a table and block B is hanging off the table on a rope connecting the two blocks*Round your answer to the nearest thousandth if necessary.