Answer:
distance and length are the same quantity
Answer:
The object´s displacement vector is Δr = 8i - 6 j
Explanation:
Hi there!
The position vector is given by the following function:
r = t²i - (3t + 3) j
Let´s find the position of the object at time t1 and t2:
At t1 = 1 s:
r1 = (1)² i - (3 · (1) + 3 )j
r1 = 1 i - 6 j
At t2 = 3 s:
r2 = (3)² i - (3 · (3) + 3) j
r2 = 9 i - 12 j
The displacement is calculated as follows:
displacement = Δr = final position - initial position = r2 - r1
r2 - r1 = 9 i - 12 j - (1 i - 6 j)
r2 - r1 = 9 i - 12 j - 1 i + 6 j
r2 - r1 = 8 i - 6 j
The object´s displacement vector is Δr = 8i - 6 j
Answer: ratio = 3.14 × 10³⁵
Explanation:
From Newtons law of Universal Gravitation;
Every object in the universe is attracted to every other object
F = (Gm₁m₂)/r²
G = 6.67 X 10⁻¹¹ N-m²/kg²
M₁= mass of one object
M₂= mass of second object
r = distance from center of objects
q = charge = 3.2 x 10⁻¹⁹C.
- Calculating the gravitational force;
Fg = (Gm₁m₂)/r² = (Gm²)/r²
which is = (6.67×10⁻¹¹ × (6.64×10⁻²⁷)²) / r²
= (2.94 × 10⁻⁶³) / r²
- Calculating the electric force;
Fe = (Kq₁q₂) / r² = K q² / r² = (9×10⁹ × (3.2 × 10⁻¹⁹)² / r²
Fe = 9.22 × 10⁻²⁸ / r²
comparing the ratio of both forces we have;
Fe/Fg = (9.22×10⁻²⁸/r²) ÷ (2.94×10⁻⁶³/r²)
r² cancels from the above expression, which gives;
ratio as 3.14 × 10³⁵
Answer:
<em>Radiation is energy that comes from a source and travels through space and may be able to penetrate various materials. Light, radio, and microwaves are types of radiation that are called nonionizing.</em>
Explanation: