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Volgvan
3 years ago
12

A bird flying straight upward at 5 m/s drops a berry when it is 300 m above the ground. How fast is the berry going when it hits

the ground (neglect air resistance) ___ m/s.

Physics
1 answer:
Nikitich [7]3 years ago
5 0

Answer:

v=77.62 m/s

Explanation:

Given that

h= - 300 m

speed of the bird ,u= 5 m/s

Lets take Speed of the berry when it hit the ground = v m/s

we know that ,if object is moving upward

v² = u² - 2 g h

u=Initial speed

v=Final speed

h=Height

Now by putting the values

v² = u² - 2 g h

v² = 5² - 2 x 10 x (-300)                ( take g = 10 m/s²)

v² =25 + 20 x 300

v² ==25 + 6000

v² =6025

v=77.62 m/s

Therefore the final speed of the berry will be 77.62 m/s.

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A car left Point A at 7:30 am and arrived at Point B, 162 miles away at 10:30 am. What was its average speed in miles per hour?
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The formula for average speed is,

S= Total Distance Covered / Total Time Taken

In the given problem, 

The total distance covered is 162 miles.
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To get the number of hours: First, subtract the hours, then the minutes. Hours: 10-7=3 
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S = 162miles/3hrs
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The average speed of the car is 54miles/hr.
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3 0
3 years ago
A 9-inch tall sunflower is planted in a garden and the height of the sunflower increases exponentially. 5 days after being plant
stira [4]

Answer:

a)  h / h₀ = 1,682

, b) h / h₀ = 1.11

, c)    h / h₀ = 2.07

Explanation:

For this exercise let's look for the growth equation, as they indicate that it is exponential

        h = h₀ e^{\alpha t}

The initial height is 9 ”, so the constant

         h₀ = 9”

Let's use the given values

       h = 15.1655”

       t = 5 days

       h / h₀ = e^{\alpha t}

      α = 1 / t ln h / h₀

       α = 1/5 ln (15.1655 / 9)

      α = 0.104

       h = 9 e^{0.104 t}

a) the growth factor is the relationship between the initial value and the current value

        h / h₀ = e^{0.104  5}

        h / h₀ = 1,682

b) for t = 1 day

       h / h₀ = e^{0.104 1}

       h / h₀ = 1.11

c) for t = 7 days

       h / h₀ = e^{0.104 7}

       h / h₀ = 2.07

8 0
3 years ago
A 1,250 W electric motor is connected to a 220 Vrms, 60 Hz source. The power factor is lagging by 0.65. To correct the pf to 0.9
Black_prince [1.1K]

Answer:

C = 46.891 \mu F

Explanation:

Given data:

v = 220 rms

power factor = 0.65

P = 1250 W

New power factor is 0.9 lag

we knwo that

s = \frac{P}{P.F} < COS^{-1} 0.65

S = \frac{1250}{0.65} < 49.45

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s = [1250 + 1461 j] vA

P.F new = cos [tan^{-1} \frac{Q_{new}}{P}]

solving for Q_{new}

Q_{new} = P tan [cos^{-1} P.F new]

Q_{new} = 1250 [tan[cos^{-1}0.9]]

Q_{new} = 605.40 VARS

Q_C = Q - Q_{new}

Q_C = 1461 - 605.4 = 855.6 vars

Q_C = \frac[v_{rms}^2}{xc} =v_{rms}^2 \omega C

C = \frac{Q_C}{ v_{rms}^2 \omega}

C = \frac{855.6}{220^2 \times 2\pi \times 60}

C = 4..689 \times 10^{-5} Faraday

C = 46.891 \mu F

6 0
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