Full Question
A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
Determine the spring constant k.
Answer:
Spring Constant = 1000Nm^-1
Step-by-step explanation:
Given
Mass = 10kg
Spring Extension = 9.8cm
Spring Constant K = Force/Extension
Force = Mass * Acceleration
Force = 10 * 9.8 = 9.8N
Spring Extension = 9.8 cm = 9.8 /100 = 0.098 m
Spring constant = 98 / 0.098
Spring Constant = 1000Nm^-1
The values that completes the table are 28, 9, 33, 32 and -3
<h3>Tables and values.</h3>
Tables are used to represents the dependent and independent variable of a function. They are used to formulate function.
From the given table, we are to think of any dependent value and subtract 3 from it to get the equivalent independent value.
From the third column;
a3-3 = 25
a3 = 25 + 3
a3 = 28
For the fourth column
a4 = 12 - 3
a4 = 9
For the fifth column
a5-3 = 30
a5 = 30 + 3
a5 = 33
For the sixth column
a6-3 = 29
a6 = 29 + 3
a6 = 32
For the seventh column
0-3 = a7a
a7 = 0 - 3
a7 = -3
Hence the values that completes the table are 28, 9, 33, 32 and -3
Learn more on table and function here; brainly.com/question/3632175
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Salesperson A made $7428.30
Salesperson B made $6859.20
Salesperson A made more commission this month and made $7428.30
Answer:
Explanation
Step-by-step explanation:
Angles 2 and 6 are corresponding angles in a transversal meaning they have the same measure.