Intermolecular forces in water are greater than those in wood. APEX
Answer:
W = 46 J
Explanation:
We need to find the angle between the two vectors Force vector and displacement vector.
First we will find the angle α of the force vector
![tan\alpha =\frac{1}{8} \\\\\\alpha =7.125 deg\\](https://tex.z-dn.net/?f=tan%5Calpha%20%3D%5Cfrac%7B1%7D%7B8%7D%20%5C%5C%5C%5C%5C%5Calpha%20%3D7.125%20deg%5C%5C)
Then we find the angle β of the displacement vector
![tan\beta=\frac{2}{6} \\\\beta = 18.43 deg\\](https://tex.z-dn.net/?f=tan%5Cbeta%3D%5Cfrac%7B2%7D%7B6%7D%20%5C%5C%5C%5Cbeta%20%3D%2018.43%20deg%5C%5C)
With these two angles we can find the angle between the two vectors
∅ = α + β = 25.56 deg
The definition of work is given by the expression
![W=F*d*cos (theta)](https://tex.z-dn.net/?f=W%3DF%2Ad%2Acos%20%28theta%29)
The absolute value of F will be:
![F=\sqrt{8^{2}+1^{2} } \\F= 8.06 N](https://tex.z-dn.net/?f=F%3D%5Csqrt%7B8%5E%7B2%7D%2B1%5E%7B2%7D%20%20%7D%20%5C%5CF%3D%208.06%20N)
The absolute value of d will be:
![d=\sqrt{(6 )^{2}+(2)^{2} } \\d= 6.32m\\](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%286%20%29%5E%7B2%7D%2B%282%29%5E%7B2%7D%20%20%7D%20%5C%5Cd%3D%206.32m%5C%5C)
Now we have:
![W=8.06*6.32*cos(25.56)\\W=46 J](https://tex.z-dn.net/?f=W%3D8.06%2A6.32%2Acos%2825.56%29%5C%5CW%3D46%20J)
Answer:
109.32 N/m
Explanation:
Given that
Mass of the hung object, m = 8 kg
Period of oscillation of object, T = 1.7 s
Force constant, k = ?
Recall that the period of oscillation of a Simple Harmonic Motion is given as
T = 2π √(m/k), where
T = period of oscillation
m = mass of object and
k = force constant if the spring
Since we are looking for the force constant, if we make "k" the subject of the formula, we have
k = 4π²m / T², now we go ahead to substitute our given values from the question
k = (4 * π² * 8) / 1.7²
k = 315.91 / 2.89
k = 109.32 N/m
Therefore, the force constant of the spring is 109.32 N/m
Sorry I’m only in kindergarten is it 10kg must be supplied???