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MariettaO [177]
2 years ago
15

The current world-record motorcycle jump is 77.0 m, set by Jason Renie. Assume that he left the take-off ramp at 11.0° to the ho

rizontal and that the take-off and landing heights are the same. Neglecting air drag, determine his take-off speed.
Physics
1 answer:
Dafna1 [17]2 years ago
7 0

Answer:

44.9 m/s

Explanation:

Initial velocity = v

Angle at which the projectile is shot at = θ = 11°

g = Acceleration due to gravity = 9.81 m/s²

Range of projectile

R=\frac {v^{2}\sin 2\theta}{g}\\\Rightarrow v=\sqrt{\frac{Rg}{sin 2\theta}}\\\Rightarrow v=\sqrt{\frac{77\times 9.81}{sin (2\times 11)}}=44.9\\\Rightarrow v=44.9\ m/s

The take off speed of Jason Renie's motorcycle was 44.9 m/s

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An element has the following natural abundances and isotopic masses: 90.92% abundance with 19.99 amu, 0.26% abundance with 20.99
sashaice [31]

<u>Answer:</u> The average atomic mass of the given element is 20.169 amu.

<u>Explanation:</u>

Average atomic mass of an element is defined as the sum of masses of the isotopes each multiplied by their natural fractional abundance.

Formula used to calculate average atomic mass follows:

\text{Average atomic mass }=\sum_{i=1}^n\text{(Atomic mass of an isotopes)}_i\times \text{(Fractional abundance})_i     .....(1)

We are given:

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Mass of isotope 1 = 19.99 amu

Percentage abundance of isotope 1 = 90.92 %

Fractional abundance of isotope 1 = 0.9092

  • For isotope 2:

Mass of isotope 2 = 20.99 amu

Percentage abundance of isotope 2 = 0.26%

Fractional abundance of isotope 2 = 0.0026

  • For isotope 3:

Mass of isotope 3 = 21.99 amu

Percentage abundance of isotope 3 = 8.82%

Fractional abundance of isotope 3 = 0.0882  

Putting values in equation 1, we get:

\text{Average atomic mass}=[(19.99\times 0.9092)+(20.99\times 0.0026)+(21.99\times 0.0882)]

\text{Average atomic mass}=20.169amu

Hence, the average atomic mass of the given element is 20.169 amu.

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Assume that the same amount of current passes through the electromagnets shown. Identify which electromagnet is stronger than th
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First electromagnet

Explanation:

The first electromagnet is the strongest and it is stronger than the given electromagnet above.

An electromagnet is a temporary magnet made by passing current through a wire wounded round an iron core or metallic core.

  • When current is passed through, the metal becomes magnetic.
  • The strength of the electromagnet depends on the number of coil round the metal core and also the intensity of current passed through it.
  • The higher the number of coils wounded round the metal core, the stronger the electromagnet that will be produced.
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