ch13Spring/Determine Mass/Equilibrium NOTE: ONLY ANSWER THIS QUESTION IF YOU PLA

Question

ch13Spring/Determine Mass/Equilibrium

NOTE: ONLY ANSWER THIS QUESTION IF YOU PLAN TO INCLUDE A STEP-BY-STEP PROCESS WITH EQUATIONS USED, AND IDENTIFY ALL VARIABLES. PLEASE AND THANK YOU. I am trying to LEARN how to do these types of questions on my own, you are how i learn. Thank You! : )

spring is hung from a ceiling, and an object attached to its lower end stretches the spring by a distance d = 6.30 cm from its unstretched position when the system is in equilibrium as in the figure below. If the spring constant is 59.0 N/m, determine the mass of the object.

Explanation / Answer

The equation for force on a spring is F= k * d

where, k is the spring constant and d is the change in distance of the spring i.e., stretch in spring.

The spring stretches due to the due to the force on the object hung from the spring.

The force on the object is due to gravity which stretches the spring from its unstretched condition to a distance of d.

Force on the object due to gravity is Fg = m * g ; where m is the mass of the object and g is acceleration due to gravity.

k= 59.0 N/m

d= 6.30 cm = 0.063 m

g- 9.8 m/s2

again Fg = F

=> m * g = k * d

=> m = (k * d) / g

=> m = (59.0 * 0.063) / 9.8

=> m = 0.38 kg.

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