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Lyrx [107]
2 years ago
5

A 398-kg boat is sailing 14.0° north of east at a speed of 1.50 m/s. 23.0 s later, it is sailing 33.0° north of east at a speed

of 4.40 m/s. During this time, three forces act on the boat: a 32.8-N force directed 14.0° north of east (due to an auxiliary engine), a 20.5-N force directed 14.0° south of west (resistance due to the water), and (due to the wind). Find the (a) the magnitude and (b) direction of the force . Express the direction as an angle with respect to due east.
Physics
1 answer:
kicyunya [14]2 years ago
4 0

Answer:

Explanation:

We shall represent speed in vector form

First speed

v₁ = 1.5 cos 14 i + 1.5 sin 14 j

= 1.455 i + 0.363 j

v₂ = 4.4 cos 33 i + 4.4 sin 33 j

= 3.69 i + 2.39 j

v₂ - v₁

3.69 i + 2.39 j - 1.455 i - 0.363 j

= 2.235 i + 2.027 j

acceleration

=  v₂ - v₁ / time

= ( 2.235 i + 2.027 j  ) / 23

= .097 i + .088 j

force = mass x acceleration

= 398 x ( .097 i + .088 j )

= 38.6 i + 35.02 j

Magnitude of force F

F² = 38.6² + 35.02²

F = 52.11 N

Tan θ = 35.02 / 38.6

θ = 42° north of east.

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E_{max}^2 = 2I\mu_0 c

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The speed of the brick dropped by the builder as it hits the ground is 17.32m/s.

Given the data in the question;

Since the brick was initially at rest before it was dropped,

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v^2 = u^2 + 2gh

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To determine the speed of the brick as it hits the ground, we substitute our giving values into the expression above.

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Answer:

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Answer: A voltmeter must have a high resistance where as an ammeter must have a low resistance.

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