A group of cells working together make up a(n)
1 answer:
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Answer:
A) 17.7 m/s
B) 15.98 m
C) Zero
E) 9.8 m/s²
Explanation:
given information
distance, h = - 34 m
time, t = 5 s
A) What is the initial speed of the egg?
h - h₀ = v₀t - t², h₀ = 0
- 34 = v₀ 5 - \frac{1}{2} 9.8 5²
- 34 = 5 v₀ - 122.5
v₀ = 122.5 - 34/5
= 17.7 m/s
B) How high does it rise above its starting point?
v² = v₀² - 2gh
v = 0 (highest point)
2gh = v₀²
h = v₀²/2g
= 17.7²/2 (9.8)
= 15.98 m
C) What is the magnitude of its velocity at the highest point?
v = 0 (at highest point)
E) What are the magnitude and direction of its acceleration at the highest point?
g= 9.8 m/s², since the egg is moved vertically, the acceleration is the same as the gravitational acceleration.
Answer:
Answer is explained in the explanation section.
Explanation:
A)
Solution:
For this to find, we need to calculate the centripetal acceleration on the equator.
The centripetal acceleration of the equator:
a = 4RcosФ/
,
where,
R is the radius of the earth
R = 6378 KM = 6.3 x and
T is the time period
T = 24 h = 86164.1 s
At Equator, Ф = 0°
So, CosФ = 1
Hence,
a = 4R/
By plugging in the values, we get:
a = 4 x () x (6.3 x
) /
a = 0.03 m/
Hence, this is the centripetal acceleration on the equator. And we also know that, acceleration due to gravity is 9.8 m/ which is very higher than the centripetal acceleration on the equator.
B) Normal force exerted by chair will always be equal and opposite to the mass times gravitational acceleration (F = mg). Otherwise, I would be thrown away from chair in case the normal force is not equal and opposite or I would be drag down to the earth due to greater mass times gravitational acceleration. Hence, both are equal and opposite.
C) Of course, this is not a lie, it is true because the acceleration due to gravity is 9.8 m/ and as we calculated the acceleration on the equator is 0.03 m/
which way too low to experience.
For percentage difference,
9.8 - 0.03 = 9.77
So, % diff = (9.8 - 9.77)/9.8 x 100
% diff = 0.00306 x 100
% diff = 0.306%
Obviously, this is way too low to experience.
D) With the help of same formula as discussed above, we have:
a = 4RcosФ/
,
Here, Ф = 44.4°
Just putting the values. we get
a = 0.0241 m/
Acceleration while sitting in my chair.