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polet [3.4K]
3 years ago
11

A toy plane with a mass of 20 kg is flying at 10 m/s. What is its kinetic energy?

Physics
2 answers:
egoroff_w [7]3 years ago
6 0
A

On edg. ‘1,000 j’ hope it helps !:)
gladu [14]3 years ago
4 0

Answer:

\boxed {\boxed {\sf A. \ 1000 \ Joules}}

Explanation:

Kinetic energy can be found using the following formula.

E_k=\frac{1}{2}mv^2

where <em>m</em> is the mass and <em>v</em> is the velocity.

The mass of the toy plane is 20 kilograms and the velocity is 10 meters per second.

m= 20 \ kg \\v= 10 \ m/s  \\

Substitute the values into the formula.

E_k=\frac{1}{2}(20 \ kg) (10 \ m/s)^2

Solve the exponent first.

  • (10 m/s)²= 10 m/s *10 m/s= 100 m²/s²

E_k=\frac{1}{2} (20 \ kg) (100 \ m^2/s^2)

Multiply the last two numbers together.

E_k= \frac{1}{2}(2000 \ kg*m^2/s^2)

Multiply by 1/2 or divide by 2.

E_k= 1000 \ kg*m^2/s^2

  • 1 kilogram square meter per square second is equal to 1 Joule.
  • Our answer of 1000 kg*m²/s² is equal to 1000 Joules

E_k= 1000 \ J

The kinetic energy of the toy plane is <u>1000 Joules</u>

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A projectile enters a resisting medium at x = 0 with an initial velocity v0 = 910 ft/s and travels 5 in. before coming to rest.
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a = - 1.987 × 10⁶ ft/s²

t = 6.84 × 10⁻⁴ s

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v₀ = 910 ft/s

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0 = 900 - 5k/12

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acceleration

\frac{\mathrm{d} v}{\mathrm{d} t} = -k\frac{\mathrm{d} x}{\mathrm{d} t}

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(A) a = -k × v

 at v= 910 ft/s

     a = - 1.987 × 10⁶ ft/s²

(B)  at x = 3.9 in.

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\frac{dv}{v} = -kdt

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