Question

A student uses a spring loaded launcher to launch a marble horizontally across a table. The mass of the marble is 0.24 kg and the spring constant is 241 N/m. How fast is the marble moving immediately after the spring is released if the spring was compressed 2.4 cm?

Answer 1

4.09 m/s

Step-by-step explanation:

1/2 * k * x^2 = 1/2 * 241 N/m * (0.024 m)^2

= 1.56 Nm

KE = 1/2 * m * v^2

v^2 = 2 * KE/m

v = √(2*1.56 Nm / 0.24 kg)

v = 4.09 m/s