Spring forces and Hooke's law Knowledge-Based Practice

Questions

1. 1.

   A 2.50 kg block hangs at rest from the end of a vertical ideal spring attached to a ceiling, stretching the spring by 5.00 cm from its relaxed length. Assuming the acceleration due to gravity is $g = 9.80\text{ m/s}^2$, what is the spring constant of the spring?

   • A) $49.0\text{ N/m}$
   • B) $123\text{ N/m}$
   • C) $245\text{ N/m}$
   • D) $490\text{ N/m}$
2. 2.

   An ideal spring with an unstretched length of 20.0 cm extends to a total length of 26.0 cm when subjected to a tensile force of 18.0 N. Assuming the spring obeys Hooke's law, what magnitude of force is required to stretch it to a total length of 31.0 cm?

   • A) 15.0 N
   • B) 21.5 N
   • C) 33.0 N
   • D) 42.0 N

Answers and step-by-step solutions appear after you finish the test.