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physical scinsce

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A cannon that is 10m long is designed to launch a 10kg ball over a castle wall.
In order to do this the ball must have a speed of at least 50m/s as it exits the
cannon. For every 10kg of explosives used, the force on the ball in the cannon
increases by 1000N. How many kg of explosives should they use?

  • physical scinsce - ,

    F=1000n,
    F=ma,
    a=F/m=1000n/10= 100n.

    a=v²/2s,
    v²/2s=100n,
    n= v²/200s=50²/200•10=1.25.
    The amount of explosive is
    1.25•10 =12.5 kg.

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