Answer:
magnitude: 21.6; direction: 33.7 degrees
Explanation:
When we multiply a vector by a scalar, we have to multiply each component of the vector by the scalar number. In this case, we have
vector: (-3,-2)
Scalar: -6
so the vector multiplied by the scalar will have components
The magnitude is given by Pythagorean's theorem:
and the direction is given by the arctan of the ratio between the y-component and the x-component:
Answer:
1. Revolve around a point
2. Formed from dust and gas particles
3. Exoplanets and associated star orbit a common center of mass
4. Composed of gases found in Jupiter and Saturn
Answer:
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Answer:
318.3 nm
Explanation:
We approximate the circular film as a cylinder of height h and radius, r. Its volume V = πr²h. Since this volume equals the volume of the oil drop, the height of the circular film is thus h = V/πr²
V = 10⁻¹⁰ m³ and r = 10 m
Substituting into h, we have
h = 10⁻¹⁰ m³/π(10)²
= 0.3183 × 10⁻¹² m
= 3183 × 10⁻⁹ m
= 318.3 nm
