Answer:
187.38 m
Explanation:
Using the equation of motion
s = ut + 1/2gt²...................... Equation 1
Where s = distance of fall, u = initial velocity of the rock, t = time taken for the rock to fall from rest, g = acceleration due to gravity of venus.
Given: u = 0 m/s ( from rest), t = 6.5 s, g = 8.87 m/s².
substituting into equation 1
s = 0(6.5) + 1/2(8.87)(6.5)²
s = 0 + 374.7575/2
s = 187.38 m.
Hence the rock will fall 187.38 m
Answer:
T=Lnsin![\alpha](https://tex.z-dn.net/?f=%5Calpha)
Please check the attached
Explanation:
The torque can simply be calculated by multiplying the length of the rod by the perpendicular force n as shown in the attached figure.
Note that sin90=1
T=Lsin
(nsin90)
T=Lsin
xn
T=Lnsin![\alpha](https://tex.z-dn.net/?f=%5Calpha)
Answer:
Explanation:
The answer you should pick is A. Two magnets will attract each other when their poles are opposite and they are close together.
The air pressure inside the balloon increases as the number of particles increases.
Answer:
The magnitudes of the second force is ![Z = 129.9 N](https://tex.z-dn.net/?f=Z%20%3D%20129.9%20N)
The magnitudes of the resultant force is ![R = 256.047 N](https://tex.z-dn.net/?f=R%20%3D%20256.047%20N)
Explanation:
From the question we are told that
The force is ![F = 187 \ lb](https://tex.z-dn.net/?f=F%20%3D%20187%20%5C%20lb)
The angle made with second force ![\theta_o = 73 ^o 36' = 73 + \frac{36}{60} = 73.6^o](https://tex.z-dn.net/?f=%5Ctheta_o%20%3D%2073%20%5Eo%2036%27%20%3D%20%2073%20%2B%20%5Cfrac%7B36%7D%7B60%7D%20%20%3D%20%2073.6%5Eo)
The angle between the resultant force and the first force ![\theta _1 = 29 ^o 1 ' = 29 + \frac{1}{60} = 29.0167^o](https://tex.z-dn.net/?f=%5Ctheta%20_1%20%20%3D%2029%20%5Eo%201%20%27%20%3D%2029%20%2B%20%5Cfrac%7B1%7D%7B60%7D%20%20%3D%2029.0167%5Eo)
For us to solve problem we are going to assume that
The magnitude of the second force is Z N
The magnitude of the resultant force is R N
According to Sine rule
![\frac{F}{sin (\theta _o - \theta_1 } = \frac{Z}{\theta _1}](https://tex.z-dn.net/?f=%5Cfrac%7BF%7D%7Bsin%20%28%5Ctheta%20_o%20-%20%5Ctheta_1%20%7D%20%20%3D%20%5Cfrac%7BZ%7D%7B%5Ctheta%20_1%7D)
Substituting values
![Z = 129.9 N](https://tex.z-dn.net/?f=Z%20%3D%20129.9%20N)
According to cosine rule
![R = \sqrt{F ^2 + Z^2 + 2(F) (Z) cos (\theta _o) }](https://tex.z-dn.net/?f=R%20%3D%20%5Csqrt%7BF%20%5E2%20%2B%20Z%5E2%20%2B%202%28F%29%20%28Z%29%20cos%20%28%5Ctheta%20_o%29%20%7D)
Substituting values
![R = \sqrt{187^2 + 129.9 ^2 + 2 (187 ) (129.9) cos (73.6)}](https://tex.z-dn.net/?f=R%20%3D%20%5Csqrt%7B187%5E2%20%2B%20129.9%20%5E2%20%20%2B%202%20%28187%20%29%20%28129.9%29%20cos%20%2873.6%29%7D)
![R = 256.047 N](https://tex.z-dn.net/?f=R%20%3D%20256.047%20N)