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3 years ago

13

a roller coaster is traveling at 13m/s when it approaches a hill that is 400m long. heading down the hill, it accelerates 4.0m/s

^2. what is the final velocity of the roller coaster? round your answer to the nearest whole number.

1 answer:

Degger [83]3 years ago

7 0

We will apply the equation:
2as = v² - u²
v = √(2as + u²)
v = √(2 x 4 x 400 + 13²)
v = 58 m/s

hope this helps

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What is the molecular formula for the hydrocarbon in the mass spectrum above?

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What is the structure of a hydrocarbon that has $\mathrm{M}^{+}=120$ in its mass spectrum and has the following $1 \mathrm{H}$ NMR spectrum? 7.25 $\delta(5 \mathrm{H}, \text { broad singlet); } 2.90 \delta(1 \mathrm{H}, \text { septet, } J=7 \mathrm{Hz}) ; 1.22 \delta(6 \mathrm{H},\text { doublet, }$ $J=7 \mathrm{Hz})$

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3 years ago

On December 26, 2004, a violent earthquake of magnitude 9.1 occurred off the coast of Sumatra. This quake triggered a huge tsuna

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Answer:

a) 800 km

b) 9.79° & 12.47°

Explanation:

It is known that the wavelength of any material or substance is given by the relation 入 = v/f

From the question, the time between the crest is given as 1.0 h, therefore, t = 1.0 h

Also, remember that frequency, f can be represented by

f = 1/t, and thus,

f = 1/1.0 h = 1.0 h^-1. This is our frequency, and would be used in the primary stated formula

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入 = 800 / 1

入 = 800 km. Therefore, the wavelength of the tsunami is 800 km

B,

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Sinθ = 800 / 4500

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θ = 9.79°

The smallest angle between the Southern end of Australia is

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4 0

4 years ago

A transformer has 1000 turns in the primary coil and 100 turns in the secondary coil. If the primary coil is connected to a 120

Marianna [84]

Answer:

The voltage on the secondary is 12 V while the current is 0.5 A.

Explanation:

A transformer works by changing the level of the voltage and current on a circuit using a magnetic field and two coils. The ratio by wich they are changed is dependant on the ratio of turns between the primary and secondary of the transformer. In this case we have a ratio for the voltage of:

ratio = (turns on the secondary)/(turns on the primary)

ratio = 100/1000 = 0.1

So in this case the voltage delivered to the primary will be multiplied by 0.1. We can now calculate the voltage on the secondary:

Voltage secondary = Voltage primary* ratio = 120*0.1 = 12 V

The transformer maintains roughly the same power output on both sides, since the power output on a electric circuit is given by the product of the voltage by the current on that circuit, to maintain the same power when the voltage has been droped the current must be raised by the same ratio. So we have:

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6 0

3 years ago

PLEASE HELP! 3 Questions, 10 points a question, will give brainliest.

Basile [38]

1) Mechanical energy is conserved in all the 4 situations

2) True

3) The potential energy of the block is 490 J

Explanation:

1)

Mechanical energy is the sum of potential energy (PE) and kinetic energy (KE) of a body:

$E=PE+KE$

According to the law of conservation of energy, in absence of non-conservative forces (such as air resistance, friction...), the mechanical energy of a body is always conserved.

This means that the mechanical energy is conserved in all the situations described. More specifically:

- Child on a swing : there is a continuous conversion between kinetic energy and gravitational potential energy

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Bow and Arrow : there is a conversion of energy from elastic potential (when the bow is stretched) to kinetic energy (when the arrow is shot)

Roller Coaster: there is a continuous conversion between kinetic energy and gravitational potential energy

2)

As we said, the mechanical energy of the object falling down at any point of the fall is

$E=KE+PE$

where KE is the kinetic energy and PE is the potential energy. The value of E is constant, since the mechanical energy is conserved.

The potential energy is given by

$PE=mgh$

where m is the mass of the object, g is the acceleration of gravity, h is the height of the object above the ground.

As the object falls, its height $h$ decreases, and therefore, the potential energy PE also decreases. But we said that E must remain constant: therefore, if PE decreases, this means that KE increases, therefore as the object falls, the potential energy is converted into kinetic energy (in fact, the speed of the object increases). So the statement is true.

3)

The potential energy of an object is given by the equation

$PE=mgh$

where

m is the mass of the object

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h is the height of the object relative to the ground

For the block in this problem, we have:

m = 10 kg

h = 5 m

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Learn more about potential energy and kinetic energy:

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3 years ago

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Well, the "magnitude of g" in a place is always described as the
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4 years ago