That isn"t the right answer the correct answer is B.
Answer:
![a=5.51\ m/s^2](https://tex.z-dn.net/?f=a%3D5.51%5C%20m%2Fs%5E2)
Explanation:
Given that,
The mass of a bag of acorns, m = 8.5 kg
The force acting on the bag = 80 N
The force of friction = 32 N
We need to find the acceleration of the bag of acorns.
Net force acting on it is = 80 N - 32 N
= 48 N
Let a be the acceleration of the bag of acorns. So,
F = ma
![a=\dfrac{F}{m}\\\\a=\dfrac{48}{8.7}\\\\a=5.51\ m/s^2](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7BF%7D%7Bm%7D%5C%5C%5C%5Ca%3D%5Cdfrac%7B48%7D%7B8.7%7D%5C%5C%5C%5Ca%3D5.51%5C%20m%2Fs%5E2)
So, the acceleration of the bag of acorns is
.
<u>Answer:
</u>
4) The lost value is $4500.
5) The values in a $ are Dependent variable in the graph.
6) Time(year) is inversely proportional to the values in $.
<u>
Explanation:
</u>
4) To calculate a loss between 2005 and 2006 we will find the value on the y-axis for 2005(which is on the x-axis) from the graph and subtract it by the value on the y-axis for 2006(which is on the x-axis) from the graph.
loss between 2005 and 2006 = $14500-$10000
= $4500
Percentage of loss is 31.03%
5) A dependent variable is a variable being tried and estimated in a logical test. The dependent variable in the graph is the value of the car that is given in the Dollar($). We can see that by the increase of the time there is an effect on the value of the car and the dependent variables are taken on the y-axis.
6) From the graph, It is shown that with an increase in time(year) the value of Sarah's car decreases and with the decrease in time its value increases. So it is clear that time is inversely proportional to the value of the car. By every passing year, the value of the car decreases.
D. The maximum electromotive force induced in the coil is determined as 3,200 V.
<h3>
Maximum electromotive force induced in the coil</h3>
emf(max) = NAB/t
where;
- N is number of turns
- B is magnetic field
- A is area of the coil
- t is time
Substitute the given parameters and solve for emf
emf(max) = (150 x 0.042 x 0.86) / (1.7 x 10⁻³)
emf(max) = 3,187.1 V
emf(max) ≈ 3,200 V
Thus, the maximum electromotive force induced in the coil is determined as 3,200 V.
Learn more about emf here: brainly.com/question/24158806
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Answer:
![t=0.0107\ \text{s}](https://tex.z-dn.net/?f=t%3D0.0107%5C%20%5Ctext%7Bs%7D)
Explanation:
![x=10\cos(6t)](https://tex.z-dn.net/?f=x%3D10%5Ccos%286t%29)
Now ![x=8\ \text{cm}](https://tex.z-dn.net/?f=x%3D8%5C%20%5Ctext%7Bcm%7D)
Substituting the value of
in the equation we get
![8=10\cos6t](https://tex.z-dn.net/?f=8%3D10%5Ccos6t)
![\Rightarrow 0.8=\cos6t](https://tex.z-dn.net/?f=%5CRightarrow%200.8%3D%5Ccos6t)
![\Rightarrow \cos^{-1}0.8=6t](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ccos%5E%7B-1%7D0.8%3D6t)
the values here are used found in radians
![\Rightarrow t=0.0107\ \text{s}](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D0.0107%5C%20%5Ctext%7Bs%7D)
So, at
the value of
.