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Lady bird [3.3K]
3 years ago
5

A 74.0 kg tightrope walker stands at the center of a rope. The rope supports are 10 m apart and the rope sags 8.00 ∘ at each end

. The tightrope walker crouches down, then leaps straight up with an acceleration of 7.80 m/s2 to catch a passing trapeze.
Required:
What is the tension in the rope as he jumps?
Physics
1 answer:
Alla [95]3 years ago
6 0

Answer:

<em>285.79 N</em>

<em></em>

Explanation:

Mass m of tightrope walker = 74.0 kg

distance of both ends pf rope = 10 m

angle at both ends of the rope = 8.00°

acceleration a of leap = 7.80 m/s^{2}

Force exerted on the rope due to the acceleration will be,

F = ma

F = 74 x 7.80 = 577.2 N

<em>This force creates a tension that is evenly divided on the ropes from the midpoint, i.e force on each end of the rope = 288.6 N</em>

Tension T = F sin∅

T = 288.6 sin 8.00° = <em>285.79 N</em>

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<h3>What is magnetic moment?</h3>

The magnetic pull and direction of a magnet or other object that produces a magnetic field are referred to as the magnetic moment in electromagnetism. Things that have magnetic moments include electromagnets, permanent magnets, various compounds, elementary particles like electrons, and a number of celestial objects (such as many planets, some moons, stars, etc).

The term "magnetic moment" really refers to the magnetic dipole moment of a system, which is the portion of the magnetic moment that can be represented by an equivalent magnetic dipole or a pair of magnetic north and south poles that are only very slightly apart. The magnetic dipole component is adequate for sufficiently small magnets or over sufficiently large distances.

Calculations:

radius= 5.29 * 10^{-11} m\\

velocity=2.9* 10^{6} m/s

Working formula, M=N/A

I=\frac{charge flow }{time taken} =\frac{e}{time taken\\}

T= \frac{2xr}{v} =\frac{2xx * 5.29 * 10^{-11} }{2.9* 10^{6} }

   =15.16 * 10^{-5} s

I= \frac{1.6 * 10^{-19} }{15.16 * 10^{-5} }= 0.10 * 10^{-14}

                     =1 * 10^{-15} C

M=1x (1* 10^{-15} * (5.29 * 10^{-11} )^{2}

  =87.87 * 10^{-37}

To learn more about magnetic moment ,visit:

brainly.com/question/14298729

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