Answer:
Incomplete question: "Each block has a mass of 0.2 kg"
The speed of the two-block system's center of mass just before the blocks collide is 2.9489 m/s
Explanation:
Given data:
θ = angle of the surface = 37°
m = mass of each block = 0.2 kg
v = speed = 0.35 m/s
t = time to collision = 0.5 s
Question: What is the speed of the two-block system's center of mass just before the blocks collide, vf = ?
Change in momentum:
![delta(P)=F*delta(t)](https://tex.z-dn.net/?f=delta%28P%29%3DF%2Adelta%28t%29)
![P_{f} -P_{i}=F*delta(t)](https://tex.z-dn.net/?f=P_%7Bf%7D%20-P_%7Bi%7D%3DF%2Adelta%28t%29)
![2m(v_{f} -v_{i})=F*delta(t)](https://tex.z-dn.net/?f=2m%28v_%7Bf%7D%20-v_%7Bi%7D%29%3DF%2Adelta%28t%29)
![v_{i} =0.35-0.35=0](https://tex.z-dn.net/?f=v_%7Bi%7D%20%3D0.35-0.35%3D0)
It is neccesary calculate the force:
![F=(m+m)*g*sin\theta](https://tex.z-dn.net/?f=F%3D%28m%2Bm%29%2Ag%2Asin%5Ctheta)
Here, g = gravity = 9.8 m/s²
![F=(0.2+0.2)*9.8*sin37=2.3591N](https://tex.z-dn.net/?f=F%3D%280.2%2B0.2%29%2A9.8%2Asin37%3D2.3591N)
![v_{f} =\frac{F*delta(t)}{2m} =\frac{2.3591*0.5}{2*0.2} =2.9489m/s](https://tex.z-dn.net/?f=v_%7Bf%7D%20%3D%5Cfrac%7BF%2Adelta%28t%29%7D%7B2m%7D%20%3D%5Cfrac%7B2.3591%2A0.5%7D%7B2%2A0.2%7D%20%3D2.9489m%2Fs)
Answer:
F = 3.6 x 10⁻²⁴ N
Explanation:
The force of attraction or repulsion between two charges is given by the Coulomb's Law. Coulomb's Law states that:
F = kq₁q₂/r²
where,
F = Electric Force between electrons = ?
k = Coulomb's Constant = 9 x 10⁹ N.m²/C²
q₁ = q₂ = Charge on electron = 1.6 x 10⁻¹⁹ C
r = distance between electrons = 0.8 cm = 0.008 m
Therefore,
F = (9 x 10⁹ N.m²/C²)(1.6 x 10⁻¹⁹ C)(1.6 x 10⁻¹⁹ C)/(0.008 m)²
<u>F = 3.6 x 10⁻²⁴ N</u>
Answer:
Total distance covered by airplane is 3330 km
Explanation:
Distance covered in speed of v= 696 km /hr for t = 4 hours is
![x_{1}=v \times t\\x_{1}=696 \times 4\\x_{1}=2784 km](https://tex.z-dn.net/?f=x_%7B1%7D%3Dv%20%5Ctimes%20t%5C%5Cx_%7B1%7D%3D696%20%5Ctimes%204%5C%5Cx_%7B1%7D%3D2784%20km)
Convert given speed in km/min, then distance covered in 35 minutes at speed of 936 km/hr is
![x_{2}=\frac{936}{60} \times 35\\x_{2}==546 km](https://tex.z-dn.net/?f=x_%7B2%7D%3D%5Cfrac%7B936%7D%7B60%7D%20%5Ctimes%2035%5C%5Cx_%7B2%7D%3D%3D546%20km)
Total distance covered by airplane is
![x = x_{1}+x_{2}\\x =2784 +546\\x=3330 km](https://tex.z-dn.net/?f=x%20%3D%20x_%7B1%7D%2Bx_%7B2%7D%5C%5Cx%20%3D2784%20%2B546%5C%5Cx%3D3330%20km)
Total distance covered by airplane is 3330 km
Energy cannot be created or destroyed it can only be transformed into a different kind of energy work or power.