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1 year ago

Find the magnitude of this vector:

Physics

1 answer:

xeze [42]1 year ago

3 0

Answer: = 25. 5 m

Explanation:

2-D vectors can be solved using the Pythagorean theorem:
$a^{2} +b^{2} =c^{2}$
The hypotenuse, or longest side is not given and that is what must be solved for
Direction can be omitted as the question only asks for magnitude
Magnitude: is the distance or quantity in which an object moves during motion

Solve for C using Pythagorean theorem:

1. $\sqrt{a^{2}+b^{2} }=c$

2. $\sqrt{22.2 m ^{2} +12.6m^{2} } =c$

3. $25.52646 m= c$

round to lowest number of significant digits when dividing and multiplying
rounded to 3 significant digits

∴ Magnitude of the vector is 25.5 m

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Answer:

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Explanation:

From the question we are told that

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2 years ago

A hot-air balloon and its basket are accelerating upward at 0.265 m/s2, propelled by a net upward force of 688 N. A rope of negl

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The mass of the balloon is 2295 kg, and the mass of the basket is 301 kg.

Explanation:

Let us call the mass of the balloon $m_1$ and the mass of the basket $m_2$ , then according to newton's second law:

$(1). \:F = (m_1+m_2)a$ ,

where $a =0.265m/s^2$ is the upward acceleration, and $F = 688N$ is the net propelling force (counts the gravitational force).

Also, the tension $T$ in the rope is 79.8 N more than the basket's weight; therefore,

$(2). \:T = m_2g+79.8$

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Combining equations (2) and (3) we get:

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since $a =0.265m/s^2$ , we have

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3 years ago

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Answer:

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F_a = 2.5 KN

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