A 70 kg tightrope walker stands at the center of a rope. The rope supports are 10 m apart and the rope sags 100 at each end. The tightrope walker crouches down, then leaps straight up with an acceleration of 8.0 m/s2 to catch a passing trapeze. What is the tension in the rope as he jumps?
The tension in the rope as the tightrope walker jumps is
mass of the tightrope walker
The rope distance
The acceleration of the tightrope walker to pass the catching trapeze
The rope inclination
Free body Diagram for the given information is
From the above figure,
FIGURE P shows two strong magnets on opposite sides of a small table. The long-range attractive force between the magnets keeps the lower magnet in place.
a. Draw an interaction diagram and draw free-body diagrams for both magnets and the table. Use dashed lines to connect the members of an action/reaction pair.
b. The lower magnet is being pulled upward against the bottom of the table. Suppose that each magnet’s weight is and that the magnetic force of the lower magnet on the upper magnet is . How hard does the lower magnet push against the table?
The cable car shown in FIGURE P descends a -m-high hill. In addition to its brakes, the cable car controls its speed by pulling an counterweight up the other side of the hill. The rolling friction of both the cable car and the counterweight are negligible.
a. How much braking force does the cable car need to descend at constant speed?
b. One day the brakes fail just as the cable car leaves the top on its downward journey. What is the runaway car’s speed at the bottom of the hill?
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