Answer:
1) The student's weight on Earth is approximately 687.398 N
2) The student's weight on Mercury is approximately 257.85 N
3) The student's weight on the Sun is approximately 19,164.428 N
Explanation:
The mass of the student, m = 70 kg
1) The mass of the Earth, M = 5.972 × 10²⁴ kg
The radius of the Earth, R = 6,371 km = 6.371 × 10⁶ m
The universal gravitational constant, G = 6.67430 × 10⁻¹¹ N·m²/kg²
Mathematically, the universal gravitational law is given as follows;
[tex]F_g =G \times \dfrac{M \cdot m}{R^{2}}[/tex]
Therefore, we have;
[tex]F_g=6.67430 \times 10^{-11} \times \dfrac{5.972 \times 10^{24} \cdot 70}{(6.371 \times 10^6)^{2}} \approx 687.398[/tex]
[tex]F_g[/tex] = W ≈ 687.398 N
The student's weight on Earth, W ≈ 687.398 N
2) On Mercury, we have;
The mass of Mercury, M₂ = 3.285 × 10²³ kg
The radius of Mercury, R₂ = 2,439.7 km = 2.4397 × 10⁶ m
The universal gravitational constant, G = 6.67430 × 10⁻¹¹ N·m²/kg²
The universal gravitational law is [tex]F_g =G \times \dfrac{M_2 \cdot m}{R_2^{2}}[/tex]
Therefore, we have;
[tex]F_g=6.67430 \times 10^{-11} \times \dfrac{3.285 \times 10^{23} \cdot 70}{(2.4397 \times 10^6)^{2}} \approx 257.85[/tex]
[tex]F_g[/tex] = W₂ ≈ 257.85 N
The student's weight on Mercury, W₂ ≈ 257.85 N
3) On the Sun, we have;
The mass of the Sun, M₃ ≈ 1.989 × 10³⁰ kg
The radius of the Sun, R₃ ≈ 696,340 km = 6.9634 × 10⁸ m
The universal gravitational constant, G = 6.67430 × 10⁻¹¹ N·m²/kg²
The universal gravitational law is [tex]F_g =G \times \dfrac{M_3 \cdot m}{R_3^{2}}[/tex]
Therefore, we have;
[tex]F_g=6.67430 \times 10^{-11} \times \dfrac{1.989 \times 10^{30} \cdot 70}{(6.9634 \times 10^8)^{2}} \approx 19,164.428[/tex]
[tex]F_g[/tex] = W₃ ≈ 19,164.428 N
The student's weight on the Sun, W₃ ≈ 19,164.428 N
Vector images are drawn ________ available in most graphic software programs.
Answer:
Vector images are drawn with basic line tools available in most graphic software programs
Explanation:
A vector graphic image makes use of points coordinate points on a Cartesian plane, to define computer graphic images, such that the image is based on mathematical relationships between the different parts of the image rather the use of pixels
Vector images are therefore smooth without aliasing errors for all sizes to which the image is zoomed given that the image generated by a combination of lines, curves and points