A 3.0 kg block slides with aspeed of 1.1 m/s on a frictionless, horizontal surfa

Question

A 3.0 kg block slides with aspeed of 1.1 m/s on a frictionless, horizontal surface until itencounters a spring. (a) If the block compresses the spring 7.0 cm before coming to rest, what is the forceconstant of the spring? (b) What initial speed should the block have if it is tocompress the spring by 1.3 cm?
A 3.0 kg block slides with aspeed of 1.1 m/s on a frictionless, horizontal surface until itencounters a spring. (a) If the block compresses the spring 7.0 cm before coming to rest, what is the forceconstant of the spring? (b) What initial speed should the block have if it is tocompress the spring by 1.3 cm?

Explanation / Answer

   (1 / 2) m v2 = (1 / 2) kx2    (3.0 kg) (1.1 m / s)2 = k (0.070m)2    k = ......... N / m    with the same formula    m v2 = k x2    solve for v    v = ......... m / s with x = 0.013 m    solve for v    v = ......... m / s with x = 0.013 m

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