A clock's pendulum is replaced by a spring-mass system featuring a spring with a spring constant of 0.1 N/m . Determine the mass that should be attached to the spring.

Step-by-step solution

The time period of a standard clock pendulum (seconds pendulum) is T = 2 s . The time period of a spring-mass system is given by T = 2 m k . Equating the two time periods: 2 = 2 m 0.1 1 = m 0.1 Squaring both sides and using the approximation ^2 10 : 1 = 10 ( m 0.1 ) 1 = 100 m m = 1 100 kg m = 0.01 kg = 10 g