Atightrope is connected at each end to a vertical tree trunk at a height of 1.03 meter above the ground. the two trees are located a distance 4.55 meters apart. at the midpoint of the tightrope, a 1.73 meter tall tightrope walker stands stationary on the rope, causing the rope to sag at an angle of \thetaθ = 12.7 ^\circ ∘ . the tightrope walker has a mass of 80.5 kg and you can assume that the mass of the tightrope is negligible. find the tension in the tightrope. [warning: this problem may contain more information than is necessary to answer the question.]

The atoms in a sidewalk on a hot summer day are vibrating the atoms in the sidewalk on a freezing day in winter. a. more rapidly than b. more slowly than c. at the same speed as

Which statement best describes how private industry decides where to spend the money on research and development

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.