Answer:
See below
Explanation:
An object at rest tends to stay at rest unless acted on by a force
Answer:
14.0 m
25.1 m/s
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
Distance traveled in the reaction time
Distance = Speed × Time
![\text{Distance}=20\times 0.5=10\ m](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3D20%5Ctimes%200.5%3D10%5C%20m)
![v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{0^2-20^2}{2\times -10}\\\Rightarrow s=20\ m](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as%5C%5C%5CRightarrow%20s%3D%5Cfrac%7Bv%5E2-u%5E2%7D%7B2a%7D%5C%5C%5CRightarrow%20s%3D%5Cfrac%7B0%5E2-20%5E2%7D%7B2%5Ctimes%20-10%7D%5C%5C%5CRightarrow%20s%3D20%5C%20m)
Distance in which the car will stop is 10+20 = 30.0 m
So, the car will not hit the deer
Distance between the car and deer is 44-30 = 14.0 m
![\text{Distance}=u\times 0.5=0.5u\ m](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3Du%5Ctimes%200.5%3D0.5u%5C%20m)
![v^2-u^2=2as\\\Rightarrow -u^2=2as-v^2\\\Rightarrow u^2=v^2-2as\\\Rightarrow u^2=0^2-2\times -10\times (44-0.5u)\\\Rightarrow u^2=20(44-0.5u)\\\Rightarrow u^2=880-10u\\\Rightarrow u^2+10u-880=0](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as%5C%5C%5CRightarrow%20-u%5E2%3D2as-v%5E2%5C%5C%5CRightarrow%20u%5E2%3Dv%5E2-2as%5C%5C%5CRightarrow%20u%5E2%3D0%5E2-2%5Ctimes%20-10%5Ctimes%20%2844-0.5u%29%5C%5C%5CRightarrow%20u%5E2%3D20%2844-0.5u%29%5C%5C%5CRightarrow%20u%5E2%3D880-10u%5C%5C%5CRightarrow%20u%5E2%2B10u-880%3D0)
![u=\frac{-10+\sqrt{10^2-4\cdot \:1\left(-880\right)}}{2\cdot \:1}, u=\frac{-10-\sqrt{10^2-4\cdot \:1\left(-880\right)}}{2\cdot \:1}\\\Rightarrow u=25.08, -35.08\ m/s](https://tex.z-dn.net/?f=u%3D%5Cfrac%7B-10%2B%5Csqrt%7B10%5E2-4%5Ccdot%20%5C%3A1%5Cleft%28-880%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%2C%20u%3D%5Cfrac%7B-10-%5Csqrt%7B10%5E2-4%5Ccdot%20%5C%3A1%5Cleft%28-880%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%5C%5C%5CRightarrow%20u%3D25.08%2C%20-35.08%5C%20m%2Fs)
Maximum speed of the car by which it will not hit the deer is 25.1 m/s
Answer:
D. Electricity will flow if the electrons are bound loosely to their atoms in the material.
Explanation:
The continuous flow of charges is known as electricity (current). The flow of these charges are due to free or mobile electron within the atoms of the conductors. The materials which will allow current to pass through them, must have free or mobile electrons which are loosely bound to their atoms.
Thus, the correction for this question is "D"
D. Electricity will flow if the electrons are bound loosely to their atoms in the material.
An object moving at a constant speed.
The spring has been stretched 0.701 m
Explanation:
The elastic potential energy of a spring is the potential energy stored in the spring due to its compression/stretching. It is calculated as
![E=\frac{1}{2}kx^2](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1%7D%7B2%7Dkx%5E2)
where
k is the spring constant
x is the elongation of the spring with respect to its equilibrium position
For the spring in this problem, we have:
E = 84.08 J (potential energy)
k = 342.25 N/m (spring constant)
Therefore, its elongation is:
![x=\sqrt{\frac{2E}{k}}=\sqrt{\frac{2(84.08)}{342.25}}=0.701 m](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B%5Cfrac%7B2E%7D%7Bk%7D%7D%3D%5Csqrt%7B%5Cfrac%7B2%2884.08%29%7D%7B342.25%7D%7D%3D0.701%20m)
Learn more about potential energy:
brainly.com/question/1198647
brainly.com/question/10770261
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