Answer:
No it's not true electric grow from Positive terminal to negative terminal
Answer:
t = 0.24 s
Explanation:
As seen in the attached diagram, we are going to use dynamics to resolve the problem, so we will be using the equations for the translation and the rotation dyamics:
Translation: ΣF = ma
Rotation: ΣM = Iα ; where α = angular acceleration
Because the angular acceleration is equal to the linear acceleration divided by the radius, the rotation equation also can be represented like:
ΣM = I(a/R)
Now we are going to resolve and combine these equations.
For translation: Fx - Ffr = ma
We know that Fx = mgSin27°, so we substitute:
(1) mgSin27° - Ffr = ma
For rotation: (Ffr)(R) = (2/3mR²)(a/R)
The radius cancel each other:
(2) Ffr = 2/3 ma
We substitute equation (2) in equation (1):
mgSin27° - 2/3 ma = ma
mgSin27° = ma + 2/3 ma
The mass gets cancelled:
gSin27° = 5/3 a
a = (3/5)(gSin27°)
a = (3/5)(9.8 m/s²(Sin27°))
a = 2.67 m/s²
If we assume that the acceleration is a constant we can use the next equation to find the velocity:
V = √2ad; where d = 0.327m
V = √2(2.67 m/s²)(0.327m)
V = 1.32 m/s
Because V = d/t
t = d/V
t = 0.327m/1.32 m/s
t = 0.24 s
Answer:
7560 Joules
Explanation:
= Mass of first car = ![1.5\times 10^5\ kg](https://tex.z-dn.net/?f=1.5%5Ctimes%2010%5E5%5C%20kg)
= Mass of second car = ![2\times 10^5\ kg](https://tex.z-dn.net/?f=2%5Ctimes%2010%5E5%5C%20kg)
= Initial Velocity of first car = 0.3 m/s
= Initial Velocity of second car = -0.12 m/s
v = Velocity of combined mass
As linear momentum of the system is conserved
![m_1u_1 + m_2u_2 =(m_1 + m_2)v\\\Rightarrow v=\frac{m_1u_1 + m_2u_2}{m_1 + m_2}\\\Rightarrow v=\frac{1.5\times 10^5\times 0.3 + 2\times 10^5\times -0.12}{1.5\times 10^5 + 2\times 10^5}\\\Rightarrow v=0.06\ m/s](https://tex.z-dn.net/?f=m_1u_1%20%2B%20m_2u_2%20%3D%28m_1%20%2B%20m_2%29v%5C%5C%5CRightarrow%20v%3D%5Cfrac%7Bm_1u_1%20%2B%20m_2u_2%7D%7Bm_1%20%2B%20m_2%7D%5C%5C%5CRightarrow%20v%3D%5Cfrac%7B1.5%5Ctimes%2010%5E5%5Ctimes%200.3%20%2B%202%5Ctimes%2010%5E5%5Ctimes%20-0.12%7D%7B1.5%5Ctimes%2010%5E5%20%2B%202%5Ctimes%2010%5E5%7D%5C%5C%5CRightarrow%20v%3D0.06%5C%20m%2Fs)
Energy lost is
![\Delta E=\Delta E_i-\Delta E_f\\\Rightarrow \Delta=\frac{1}{2}(m_1u_1^2 + m_2u_2^2-(m_1+m_2)v^2)\\\Rightarrow \Delta=\frac{1}{2}(1.5\times 10^5\times 0.3^2 + 2\times 10^5\times (-0.12)^2-(1.5\times 10^5 + 2\times 10^5)\times 0.06^2)\\\Rightarrow \Delta=7560\ J](https://tex.z-dn.net/?f=%5CDelta%20E%3D%5CDelta%20E_i-%5CDelta%20E_f%5C%5C%5CRightarrow%20%5CDelta%3D%5Cfrac%7B1%7D%7B2%7D%28m_1u_1%5E2%20%2B%20m_2u_2%5E2-%28m_1%2Bm_2%29v%5E2%29%5C%5C%5CRightarrow%20%5CDelta%3D%5Cfrac%7B1%7D%7B2%7D%281.5%5Ctimes%2010%5E5%5Ctimes%200.3%5E2%20%2B%202%5Ctimes%2010%5E5%5Ctimes%20%28-0.12%29%5E2-%281.5%5Ctimes%2010%5E5%20%2B%202%5Ctimes%2010%5E5%29%5Ctimes%200.06%5E2%29%5C%5C%5CRightarrow%20%5CDelta%3D7560%5C%20J)
The Energy lost in the collision is 7560 Joules
Explanation:
Take south to be negative.
a. Momentum is mass times velocity.
p = mv
p = (540 kg) (-6 m/s)
p = -3240 kg m/s
p = 3240 kg m/s south
b. Impulse = change in momentum
J = Δp
Since the mass is constant:
J = mΔv
J = (540 kg) (-4 m/s − (-6 m/s))
J = 1080 kg m/s
J = 1080 kg m/s north