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Maksim231197 [3]

2 years ago

12

Type the correct answer in the box. What’s the velocity of the balloon? Use . A hot-air balloon with a mass of 400 kilograms mov

es across the sky with 3,200 joules of kinetic energy. The velocity of the balloon is meters/second.

2 answers:

alexandr1967 [171]2 years ago

7 0

Answer:

4 m/s would be the answer.

Ulleksa [173]2 years ago

4 0

Answer:

4 m/s would be the answer.

Explanation:

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disa [49]

Answer with Explanation:

We are given that

$F=-8\hat{i}+6\hat{j}$

$r=3\hat{i}+4\hat{j}$

a.We have to find the torque on the particle about the origin.

We know that

Torque= $\tau=r\times F=\begin{vmatrix}i&j&k\\3&4&0\\-8&6&0\end{vmatrix}$

By using the formula

$\tau=50\hat{k}$

b. $\mid \tau\mid =\mid F\mid \mid r\mid sin\theta$

$\mid F\mid=\sqrt{(-8)^2+(6)^2}=10$

$\mid r\mid=\sqrt{3^2+4^2}=5$

$\mid \tau\mid=\sqrt{(-50)^2}=50$

Substitute the values then we get

$50=10\times 5 sin\theta$

$sin\theta=\frac{50}{50}=1$

$sin\theta=sin90^{\circ}$

Because $sin90^{\circ}=1$

$\theta=90^{\circ}$

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