Aspring has a force constant of 1 ã— 105 n/m. how far must it be stretched for its potential energy to be 47 j? answer in units of m.

= 0.03066 m

Work done or energy by a spring or an elastic material is given by the formula;

Potential energy = 1/2 kx²

Where, k is the spring constant and x is the distance stretched.

Therefore;

47 J = 1/2 (100000 n/m) x²

 47 J = 50, 000 x²

x² = 47 /50,000

x² = 0.00094

x = 0.03066 m

Therefore, x = 0.03066 m

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50