Answer:
R₂ / R₁ = D / L
Explanation:
The resistance of a metal is
R = ρ L / A
Where ρ is the resistivity of aluminum, L is the length of the resistance and A its cross section
We apply this formal to both configurations
Small face measurements (W W)
The length is
L = W
Area
A = W W = W²
R₁ = ρ W / W² = ρ / W
Large face measurements (D L)
Length L = D= 2W
Area A = W L
R₂ = ρ D / WL = ρ 2W / W L = 2 ρ/L
The relationship is
R₂ / R₁ = 2W²/L
Answer:
3 hours
Explanation:
Given:
- The speed of Ben v_b = 3 mi/h
- The speed of Amanda v_a = 6 mi/h
- The total time taken to cover distance(d) by ben = t_b
Find:
How long will it be before Amanda catches up to Ben?
Solution:
- The distance d traveled by Ben:
d = v_b*t_b
d = 3*t_b
- The distance d traveled by Amanda:
d = v_a*t_a
d = 6*t_a
- Equate the distance as when they meet:
3*t_b = 6*t_a
- Where ,
t_b = t_a + 1.5
t_a = t_b - 1.5
- Substitute the time relationship in distance relationship:
3*t_b = 6*(t_b - 1.5)
3*t_b = 6*1.5
t_b = 2*1.5 = 3 h
- Hence, It would take 3 hours since Ben starts walking that amanda catches up.
The question is incomplete as it does not have the options which are:
deciduous forest
taiga (boreal forest)
temperate rainforest
tropical rainforest
Answer:
Taiga (boreal forest)
Explanation:
A Biome refers to the habitat which is occupied by flora and fauna living in similar conditions. These biomes are distinguished based on many features like precipitation, temperature and many other physical factors.
In the given question, the biome which receives an annual rainfall of 35 to 100 cm annually and is mostly covered by the coniferous trees is known as "Taiga biome" which is also known as Boreal forest.
The Taiga biome is one of the largest terrestrial biomes which is present in Eurasia and North America. The biome is characterised by the conifers trees and therefore is also known as the Coniferous trees.
Thus, Taiga (boreal forest) is the correct answer.
Answer:
The arrow is at a height of 500 feet at time t = 2.35 seconds.
Explanation:
It is given that,
An arrow is shot vertically upward at a rate of 250 ft/s, v₀ = 250 ft/s
The projectile formula is given by :
We need to find the time(s), in seconds, the arrow is at a height of 500 ft. So,
On solving the above quadratic equation, we get the value of t as, t = 2.35 seconds
So, the arrow is at a height of 500 feet at time t = 2.35 seconds. Hence, this is the required solution.
