Adart of mass 0.5 kg is pressed against the spring of a dart gun the spring k=300n/m is compressed 10 cm and released. if the dart detaches from the spring when the latter reaches its normal length what speed does the dart acquire?

v = 2.45 m/s

Explanation:

given,

mass of the dart = 0.5 Kg

spring constant of the dart = k = 300 N/m

compressed distance = 10 cm = 0.1 m

speed acquire by the cart = ?

we know,

using conservation of energy

kinetic energy will be equal to spring energy

v = 2.45 m/s

speed acquire by the dart is equal to v = 2.45 m/s

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