Answer:
Explanation:
![y(t) = 5t-5t^2](https://tex.z-dn.net/?f=y%28t%29%20%3D%205t-5t%5E2)
When y(t) = 0, the ball is on the hand.
![0=5t-5t^2\\0=5t(1-t)\\t=0,1](https://tex.z-dn.net/?f=0%3D5t-5t%5E2%5C%5C0%3D5t%281-t%29%5C%5Ct%3D0%2C1)
It takes 1 second.
Answer:
a. 86.80 m
b. i. The mass of the bob
ii. The length of the pendulum
Explanation:
a. Determine the height of the smokestack.
Using T = 2π√(L/g) where T = period of pendulum = 18.7 s, L = length of pendulum = height of smokestack and g = acceleration due to gravity = 9.8 m/s².
So, making L subject of the formula, we have
T = 2π√(L/g)
T/2π = √(L/g)
squaring both sides, we have
(T/2π)² = L/g
L = (T/2π)²g
Substituting the values of the variables into the equation, we have
L = (T/2π)²g
L = (18.7 s/2π)²(9.8 m/s²)
L = (2.976 s)²(9.8 m/s²)
L = 8.857 s² × 9.8 m/s²
L = 86.796 m
L ≅ 86.80 m
b. What factors influence the period of a simple pendulum
The factors that influence the period of a simple pendulum are
i. The mass of the bob
ii. The length of the pendulum
B Longitude
Explanation:
The line of longitude or longitude does not affects climates.
Climate is the weather condition over a place for a long period of time. It usually takes several years to delineate the climate of an area.
- Longitude is the distance on the earth surface that runs form east to west.
- All lines of longitude are all great circles.
- Latitude are lines from north to south on the earth surface. Only the equator is a great circle.
- Latitude affects climate. In fact based on the division of lines of latitude on can predict climatic patterns on earth.
- Proximity to water bodies also affects climatic condition because of the effect of land and sea breeze and other climatic factors.
- Elevation affects climate a whole lot. Physiography of a place determines the weather to a very large extent.
learn more:
Climate brainly.com/question/10856870
#learnwithBrainly
Answer:
518400 Newton
Explanation:
Force F = mass m * Acceleration a
a = velocity v / time t
v = distance d / t
Therefore;
F = m * v² / d
with m = 2000 (unit not defined but say g)
v = 144 Km/h
d = 80 meters =0.08Km
F = 2Kg * 144Km/h * 144Km/h / 0.08Km
F = 518400 Newton
Answer:![0.62\times 10^{-8}=10.62 nm](https://tex.z-dn.net/?f=0.62%5Ctimes%2010%5E%7B-8%7D%3D10.62%20nm)
Explanation:
Given
No of lines in the grating (N)=900 slits per centimeter
Distance between screen and grating(L)=2.78 m
Slit width(d) =![\frac{1}{N}=1.11\times 10^{-5}m](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BN%7D%3D1.11%5Ctimes%2010%5E%7B-5%7Dm)
We know distance between two maxima
![\dealta y=\left ( \frac{\lambda _1-\lambda _2}{d}\right )L](https://tex.z-dn.net/?f=%5Cdealta%20y%3D%5Cleft%20%28%20%5Cfrac%7B%5Clambda%20_1-%5Clambda%20_2%7D%7Bd%7D%5Cright%20%29L)
therefore
![\lambda _1-\lambda _2=\frac{d\delta y}{L}](https://tex.z-dn.net/?f=%5Clambda%20_1-%5Clambda%20_2%3D%5Cfrac%7Bd%5Cdelta%20y%7D%7BL%7D)
![\lambda _1-\lambda _2=\frac{1.11\times 10^{-5}\times 2.66\times 10^{-3}}{2.78}](https://tex.z-dn.net/?f=%5Clambda%20_1-%5Clambda%20_2%3D%5Cfrac%7B1.11%5Ctimes%2010%5E%7B-5%7D%5Ctimes%202.66%5Ctimes%2010%5E%7B-3%7D%7D%7B2.78%7D)
![\lambda _1-\lambda _2=10.62\times 10^{-8}=10.62 nm](https://tex.z-dn.net/?f=%5Clambda%20_1-%5Clambda%20_2%3D10.62%5Ctimes%2010%5E%7B-8%7D%3D10.62%20nm)