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A man uses a crowbar 2 m long to lift a concrete block weighing 600 N as shown in Figure 1.96. Calculate the position of the pivot if an effort of 150 N is applied. Determine: a) the mechanical advantage, b) velocity ratio, c) efficiency of the lever.

Physics

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Ili kukokotoa nguvu ya wastani, tunahitaji kwanza kukokotoa kazi iliyofanywa na kisha kugawanya kwa muda uliotumika. Kazi iliyofanywa katika kupanda ngazi ni sawa na mabadiliko katika nishati uwezo.

  1. Kokotoa urefu jumla.

    Kila ngazi ina urefu wa 20 cm20 \text{ cm}, ambayo ni sawa na 0.20 m0.20 \text{ m}. Kuna ngazi 50.

    Urefu jumla(h)=Idadi ya ngazi×Urefu wa kila ngazi\text{Urefu jumla} (h) = \text{Idadi ya ngazi} \times \text{Urefu wa kila ngazi} h=50×0.20 mh = 50 \times 0.20 \text{ m} h=10 mh = 10 \text{ m}
  2. Kokotoa kazi iliyofanywa.

    Kazi iliyofanywa (WW) ni sawa na nishati uwezo iliyopatikana, ambayo hutolewa na formula W=mghW = mgh, ambapo mm ni uzito, gg ni mvutano wa mvuto (9.8 m/s29.8 \text{ m/s}^2), na hh ni urefu jumla.

    W=mghW = mgh W=40 kg×9.8 m/s2×10 mW = 40 \text{ kg} \times 9.8 \text{ m/s}^2 \times 10 \text{ m} W=3920 JW = 3920 \text{ J}
  3. Kokotoa nguvu ya wastani.

    Nguvu ya wastani (PP) hutolewa na formula P=WtP = \frac{W}{t}, ambapo WW ni kazi iliyofanywa na tt ni muda uliotumika.

    P=3920 J5 sP = \frac{3920 \text{ J}}{5 \text{ s}} P=784 WP = 784 \text{ W}

    Nguvu ya wastani ya mtu huyo ni 784 W\boxed{\text{784 W}}.

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