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Vinvika [58]
3 years ago
8

Displacement is which of the following types of quantities?A. vectorB. scalarC. magnitudeD. dimensional

Physics
1 answer:
agasfer [191]3 years ago
6 0

Answer: A. vector

Explanation:

Movement is the change of position of a body at a certain time. The body that experiences this change of position is called mobile.

In this sense, the <u>displacement</u> is the distance in a straight line between the initial and final position of this mobile, which differentiates it from <u>the trajectory, </u> which is the <u>path followed by the body in its movement and a scalar magnitude.</u>

Hence, the displacement is a vector.

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The answer is $v=15.6 \mathrm{~km} / \mathrm{s}$.

<h3>What is kinetic energy?</h3>
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Determine the escape speed for the rocket from the planet-satellite system:

The potential energy of the rocket due to Ganymede when it is on the surface of the Ganymede is,

$$U_1=-\frac{G M_{\mathrm{G}} m}{R_G}$$

The potential energy of the rocket due to Jupiter

when it is on the surface of the Ganymede is,

$$U_2=-\frac{G M_{\mathrm{J}} m}{R}$$

Here, R is a separation between Jupiter and Ganymede.

To escape from the surface of Ganymede potential energy of the rocket due to Jupiter and Ganymede is equal to the kinetic energy of the rocket.

$$\begin{aligned}&\frac{1}{2} m v^2+U_1+U_2=0 \\&\frac{1}{2} m v^2=-U_1-U_2 \\&\frac{1}{2} m v^2=\frac{G M_{\mathrm{G}} m}{R_G}+\frac{G M_{\mathrm{J}} m}{R} \\&\frac{1}{2} v^2=\frac{G M_{\mathrm{G}}}{R_G}+\frac{G M_{\mathrm{J}}}{R}\end{aligned}$$

$v^2=\frac{2 G M_{\mathrm{G}}}{R_G}+\frac{2 G M_{\mathrm{T}}}{R}$

$v=\sqrt{2 G\left(\frac{M_{\mathrm{G}}}{R_G}+\frac{M}{R}\right)}$

$v=\sqrt{2\left(6.67 \times 10^{-11} \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{kg}^2\right)\left(\frac{1.495 \times 10^{23} \mathrm{~kg}}{2.64 \times 10^6 \mathrm{~m}}+\frac{1.90 \times 10^{27} \mathrm{~kg}}{1.071 \times 10^9 \mathrm{~m}}\right)}$

$v=15.6 \times 10^3 \mathrm{~m} / \mathrm{s}$

$v=15.6 \mathrm{~km} / \mathrm{s}$

To learn more about kinetic energy, refer to:

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