a boy of 50 kg jumps off a boat (30 kg), causing the boat to move to the right at 2.0 m/s. in what direction…

a boy of 50 kg jumps off a boat (30 kg), causing the boat to move to the right at 2.0 m/s. in what direction and at what velocity does the boy move? (remember to include - to indicate direction if necessary.)

a boy of 50 kg jumps off a boat (30 kg), causing the boat to move to the right at 2.0 m/s. in what direction and at what velocity does the boy move? (remember to include - to indicate direction if necessary.)

Answer

Explanation:

Step1: Aplicar la ley de conservación de la cantidad de movimiento

La cantidad de movimiento total inicial es cero (ya que el sistema (niño + barco) está en reposo inicialmente). Entonces, (m_{boy}v_{boy}+m_{boat}v_{boat}=0)

Step2: Despejar la velocidad del niño

Despejando (v_{boy}) de la ecuación (m_{boy}v_{boy}+m_{boat}v_{boat}=0), obtenemos (v_{boy}=-\frac{m_{boat}v_{boat}}{m_{boy}})

Sustituyendo (m_{boat} = 30\space kg), (v_{boat}=2.0\space m/s) y (m_{boy}=50\space kg)

(v_{boy}=-\frac{30\times2}{50}=-\frac{60}{50}=- 1.2\space m/s)

Answer:

(-1.2\space m/s)