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Which of the following has the greatest momentum?Select an answerAA car moving at 10 m/s with a mass of 1000 kgBA truck moving at 5 m/s with a mass of 5000 kgCA motorcycle moving at 20 m/s with a mass of 200 kgDA bicycle moving at 30 m/s with a mass of 50 kg

Question

Which of the following has the greatest momentum?Select an answerAA car moving at 10 m/s with a mass of 1000 kgBA truck moving at 5 m/s with a mass of 5000 kgCA motorcycle moving at 20 m/s with a mass of 200 kgDA bicycle moving at 30 m/s with a mass of 50 kg

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Solution

Para determinar cuál de los objetos tiene el mayor momento, utilizamos la fórmula del momento lineal (p):

p=mv p = m \cdot v

donde m m es la masa y v v es la velocidad.

A. Un coche que se mueve a 10 m/s con una masa de 1000 kg: pA=1000kg10m/s=10000kg\cdotpm/s p_A = 1000 \, \text{kg} \cdot 10 \, \text{m/s} = 10000 \, \text{kg·m/s}

B. Un camión que se mueve a 5 m/s con una masa de 5000 kg: pB=5000kg5m/s=25000kg\cdotpm/s p_B = 5000 \, \text{kg} \cdot 5 \, \text{m/s} = 25000 \, \text{kg·m/s}

C. Una motocicleta que se mueve a 20 m/s con una masa de 200 kg: pC=200kg20m/s=4000kg\cdotpm/s p_C = 200 \, \text{kg} \cdot 20 \, \text{m/s} = 4000 \, \text{kg·m/s}

D. Una bicicleta que se mueve a 30 m/s con una masa de 50 kg: pD=50kg30m/s=1500kg\cdotpm/s p_D = 50 \, \text{kg} \cdot 30 \, \text{m/s} = 1500 \, \text{kg·m/s}

Comparando los momentos calculados:

  • pA=10000kg\cdotpm/s p_A = 10000 \, \text{kg·m/s}
  • pB=25000kg\cdotpm/s p_B = 25000 \, \text{kg·m/s}
  • pC=4000kg\cdotpm/s p_C = 4000 \, \text{kg·m/s}
  • pD=1500kg\cdotpm/s p_D = 1500 \, \text{kg·m/s}

El camión que se mueve a 5 m/s con una masa de 5000 kg tiene el mayor momento, con 25000kg\cdotpm/s 25000 \, \text{kg·m/s} . Por lo tanto, la respuesta correcta es:

B. Un camión que se mueve a 5 m/s con una masa de 5000 kg.

This problem has been solved

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