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3 years ago

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What is the displacement for the couple's hiking trip? Give your answer as an ordered pair, with magnitude first, followed by a

comma, then followed by the direction. Give the direction in terms of an angle measured CCW from the Easterly direction.

2 answers:

nekit [7.7K]3 years ago

7 0

Answer:

Explanation:

See the attached

Svetlanka [38]3 years ago

5 0

Answer:

displacement = ( 4.045 km , 72 degrees )

Explanation:

Given:

- The radius if the circular path r = 2.5 km

- Couple hikes 70 % of the circular track.

Find:

What is the displacement for the couple's hiking trip? Give the direction in terms of an angle measured CCW from the Easterly direction.

Solution:

- The start point of the journey is west and due south in a circular direction.

- First we will determine the 70 % of the circumference of the circular path traveled. Using the arc length S formula:

S = 0.70* ( 2*pi*r) = 7/5 pi*r

- The arc length calculated above is the distance traveled. However, we are interested in the "displacement" which is the shortest distance from start point to 70% of the track.

- The total amount of angle swept between the two points in radians is:

S = r*Q

Q = S / r = 7/5*pi

- The remaining angle angle to complete the full circle:

Q' = 2*p - Q = 2*p -7/5*pi

Q' = 0.6*pi.

- The displacement between two points can be calculated using sine rule as follows:

sin(Q') / displacement = sin (0.2*pi) / r

displacement = r*sin(Q') / sin (0.2*pi)

displacement = 2.5*sin(0.6*pi) / sin (0.2*pi)

displacement = 4.045 km

- The position with respect to the East direction is:

pi - Q' = pi - 0.6*pi = 0.4*pi

Convert into degrees: 0.4*pi * 180 /pi = 72 degrees

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Explanation:

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Answer:

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Explanation:

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Now the veocity of the palyer after he cover'sthe initial 61 cm of his journey can be similarly found as

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Answer:

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(B). The potential of the starting point with respect to the endpoint is 357.14 V.

(C). The magnitude of E is 5952.38 N/C.

Explanation:

Given that,

Charge = 4.20 nC

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The magnitude of E is 5952.38 N/C.

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