Answer:B
Explanation:
.03 of an hr is 2 mins and if it takes 2 mins to drive 4 miles enter it in pace calulator you are going 120mph so the closest to 120 is 133mph
Answer:
T = 190 N
Explanation:
When child is sitting on the swing then the weight of the child is vertically downwards
So it is
![F_g = 160 N](https://tex.z-dn.net/?f=F_g%20%3D%20160%20N)
now a force of 100 N is acting on the swing in horizontal direction
so it is given as
![F_x = 100 N](https://tex.z-dn.net/?f=F_x%20%3D%20100%20N)
now the net force is resultant force due to gravity and horizontal force
so it is given as
![T = \sqrt{F_x^2 + F_g^2}](https://tex.z-dn.net/?f=T%20%3D%20%5Csqrt%7BF_x%5E2%20%2B%20F_g%5E2%7D)
![T = \sqrt{100^2 + 160^2}](https://tex.z-dn.net/?f=T%20%3D%20%5Csqrt%7B100%5E2%20%2B%20160%5E2%7D)
![T = 190 N](https://tex.z-dn.net/?f=T%20%3D%20190%20N)
<span>The question is asking us what is BEST to say about a runner who is running at a constant velocity? A constant velocity (=speed) means that they are not getting faster or slower - they are running exactly as fast all the time. This meanst that their speed does not change, so their change of speed is equal to 0. A change of speed is called acceleration so their C. Their acceleration is zero. - C is the correct answer. </span>
Answer:
a) L = 33.369 m
, b) 21
Explanation:
The analysis of the ocean depth can be performed assuming that at the bottom of the ocean there is a node and the surface must have a belly, so the expression for resonance is
λ = 4 L / n
n = 1, 3, 5, ...
The speed of the wave is
v = λ f
v = 4L / n f
L = n v / 4f
Let's write the expression for the two frequencies
L = n₁ 343/4 53.95
L = n₁ 1,589
L = n₂ 343/4 59
L = n₂ 1.4539
Let's solve the two equations
n₁ 1,589 = n₂ 1,459
n₁ / n₂ = 1.4539 / 1.589
n₁ / n2 = 0.91498
Since the two frequencies are very close the whole numbers must be of consecutive resonances, let's test what values give this value
n₁ n₂ n₁ / n₂
1 3 0.3
3 5 0.6
5 7 0.7
7 9 0.77
9 11 0.8
17 19 0.89
19 21 0.905
21 23 0.913
23 25 0.92
Therefore the relation of the nodes is n₁ = 21 and n₂ = 23
Let's calculate
L = n₁ 1,589
L = 21 1,589
L = 33.369 m
b) the number of node and nodes is equal therefore there are 21 antinode