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3 years ago

How does hydroelectric energy work

1 answer:

6 0

The water is held behind a dam, forming reservoir. The force of the water being released from the reservoir through the dam spins the blades of a giant turbine.

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A slingshot fires a pebble from the top of a building at a speed of 14.7 m/s. The building is 36.0 m tall. Ignoring air resistan

monitta

Answer:

The final speed is 30.37 m/s for the three directions.

Explanation:

Given the initial speed, v₀ = 14.7 m/s and the height of the building as 36.0 m (neglecting air resistance and height of slingshot), we apply the principle of Conversation of Mechanical Energy:

E = Kinetic Energy (k.E) + Potential Energy (P.E)

K.E = 0.5mv²

P.E = mgh

∴ 0.5mv₀² + mgh₀ = 0.5mv₁² + mgh₁

Since the final height (h₁) is zero and m is a common term, then we can re-write the above equation as:

0.5v₀² + gh₀ = 0.5v₁² + 0

0.5v₁² - 0.5v₀² = gh₀

0.5(v₁² - v₀²) = gh₀

v₁² = v₀² + 2gh₀

Fitting in the given terms, we can calculate the final speed

v₁² = (14.7)² + (2)(9.81)(36.0)

= 216.09 + 706.32 = 922.41

v₁ = √922.41 = 30.37 m/s.

The speed at which the pebble hits the ground remains the same because kinetic energy depends on the speed of the object and not the direction to which the object is thrown.

7 0

4 years ago

What is the weight of a 63.7 kg person? ?N

Ivan

Answer:

140.434 lb is what I got as an answer

6 0

3 years ago

Read 2 more answers

Scientists use laser range-finding to measure the distance to the moon with great accuracy. A brief laser pulse is fired at the

Fofino [41]

Answer:

d = 2,042 10-3 m

Explanation:

The laser diffracts in the circular slit, so the process equation is

d sin θ= m λ

The first diffraction minimum occurs for m = 1

We can use trigonometry in the mirror

tan θ = Y / L

Where L is the distance from the Moon to Earth

Since the angle is extremely small

tan θ = sin θ / cos θ

Cos θ = 1

tant θ = sin θ = y / L

We replace

d y / L = λ

d = λ L / y

Let's calculate

d = 532 10⁻⁹ 3.84 10⁶/1 10³

d = 2,042 10-3 m

5 0

3 years ago

A truck with 28-in.-diameter wheels is traveling at 50 mi/h. Find the angular speed of the wheels in rad/min, *hint convert mile

solong [7]

Answer:

Angular speed ω=3771.4 rad/min

Revolution=5921 rpm

Explanation:

Given data

$d=28in\\r=d/2=28/2=14in\\v=50mi/hr$

To find

Angular speed ω

Revolution per minute N

Solution

First we need to convert the speed of truck to inches per mile

1 mile=63360 inches

1 hour=60 minutes

$v=(50*\frac{63360}{60} )\\v=52800in/min$

Now to solve for angular speed ω by substituting the speed v and radius r in below equation

$w=\frac{v}{r}\\ w=\frac{52800in/min}{14in}\\ w=3771.4rad/min$

To solve for N(revolutions per minute) by substituting the angular speed ω in the following equation

$N=\frac{w}{2\pi }\\ N=\frac{3771.4rad/min}{2\pi }\\ N=5921RPM$

3 0

3 years ago

How does gravity keep the moon in orbit around earth

lidiya [134]

Answer:

The moon's orbit draws the oceans to it, which triggers ocean tides. Force produces stars and planets by gathering the mass from which it exists.

Explanation:

The moon's orbit draws the oceans to it, which triggers ocean tides. Force produces stars and planets by gathering the mass from which it exists.

Answer is above

Hope this helps.

3 0

3 years ago