A 11-cm-long spring is attached to the ceiling. When a 2.4kg mass is hung from it, the spring stretches to a length of 18cm . Part A What is the spring constant k?
Part B How long is the spring when a 3.0 kg mass is suspended from it?

Part A : 336 N/m

Part B: 19.75 cm

Explanation:

Part A: Using hooks law,

F = ke Equation 1

Where F = Force applied to the spring, k = spring constant, e = extension.

Note: From the question, the force applied to the spring is the weight of the mass hung on it.

Hence,

F = mg Equation 2

Substitute equation 2 into equation 1.

mg = ke

make k the subject of the equation

k = mg/e Equation 3

Given: m = 2.4 kg, e = 18-11 = 7 cm = 0.07 m

Constant: g = 9.8 m/s²

Substitute these value into equation 3

k = 2.4(9.8)/(0.07)

k = 336 N/m.

Part B,

Similarly,

mg = ke.

make e the subject of the equation

e = mg/k Equation 4

Given: m = 3.0 kg, k = 336 N/m, g = 9.8 m/s²

Substitute into equation 4

e = 3.0(9.8)/336

e = 0.0875 m

e = 8.75 cm

Length of the spring = original length+ extension

Length of the spring = 11+8.75

Length of the spring = 19.75 cm.

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles

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