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Butoxors [25]
3 years ago
9

A 104 horse-power suv speeds up from 21 m/s to 29 m/s in 3 seconds, what is the mass of the suv?

Physics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

Correct answer:  m = 1,160 kg

Explanation:

Given:

P = 104 hp = 77.48 kW = 77.48 · 10³ W

V₁ = 21 m/s    Initial speed (velocity)

V₂ = 29 m/s  Final speed (velocity)

t = 3 seconds   The time interval during which the work was performed

m = ?

The formula for calculating power is:

P = A / Δt

Since work is a measure of energy change in this case kinetic:

P = ΔEk / Δt = (Ek₂ - Ek₁) / Δt = (m V₂²/ 2 -  m V₁²/ 2) / Δt

P = m · (V₂² - V₁²) / 2 · Δt  ⇒ m = (2 · P · Δt) / (V₂² - V₁²)

m = (2 · 77.48 · 10³ · 3) / (29² - 21²) = 464.88 · 10³ / (841 - 441)

m = 464.88 · 10³ / 400 = 1.16 · 10³ = 1,160 kg

m = 1,160 kg

God is with you!!!

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Un ciclista recorre 10 km en 2 h.Calcula su velocidad media en km/h.¿cuantos metros recorre cada segundo
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Answer:

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Explanation:

La velocidad es una magnitud física que expresa la relación entre el espacio recorrido por un objeto y el tiempo empleado para ello.

La velocidad media relaciona el cambio de la posición con el tiempo empleado en efectuar dicho cambio. Por lo que se calcula como la distancia recorrida por un objeto dividido por el tiempo transcurrido:

velocidad=\frac{distancia}{tiempo}

En este caso:

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Entonces, reemplazando en la definición de velocidad media:

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Resolviendo se obtiene:

velocidad=5 \frac{km}{h}= 1.389\frac{m}{s}

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