Respuesta :
Answer:
d)1.5 m/s
Explanation:
Momentum: Momentum can be defined as the product of mass and velocity.
The S.I unit of momentum is kgm/s. Momentum is a vector quantity.
Momentum of the carbon dioxide = momentum of the chair.
mv = MU............................. Equation 1
making U the subject of the equation above,
U = mv/M.............................. Equation 2
where m = mass of the carbon-dioxide, v = velocity of the carbon-dioxide, M = mass of the chair, U = velocity of the chair
Given: m = 2 kg, v = 60 m/s, M = 80 kg
Substituting these values into equation 2
U = 2×60/80
U = 120/80
U = 1.5 m/s
Therefore the speed of the chair after ejection = 1.5 m/s
The right option is d)1.5 m/s
The chair should be moved at 1.5 m/s.
Given that,
- When the lever is pulled, 2 kg of carbon dioxide is ejected at a speed of 60 m/s.
- The remaining mass of the person, chair, and cylinder is 80 kg
Based on the above information, the calculation is as follows:
[tex]= 2 \times 60\div 80\\\\= 120\div80[/tex]
= 1.5 m/s
Therefore we can conclude that the chair should be moved at 1.5 m/s.
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