Answer:
The velocity will be v = 165.83[m/s]
Explanation:
This is a problem where the definition of kinetic energy can be applied, which can be determined with the following equation.
![E_{k}=\frac{1}{2}*m*v^{2}\\ where:\\m = mass = 80000[kg]\\v = velocity [m/s]\\E_{k}= kinetic energy [J]=1100000000[J]\\Replacing:\\v=\sqrt{\frac{2*E_{k} }{m} } \\v=\sqrt{\frac{2*1100000000 }{80000} }\\v=165.83[m/s]](https://tex.z-dn.net/?f=E_%7Bk%7D%3D%5Cfrac%7B1%7D%7B2%7D%2Am%2Av%5E%7B2%7D%5C%5C%20%20%20where%3A%5C%5Cm%20%3D%20mass%20%3D%2080000%5Bkg%5D%5C%5Cv%20%3D%20velocity%20%5Bm%2Fs%5D%5C%5CE_%7Bk%7D%3D%20kinetic%20energy%20%5BJ%5D%3D1100000000%5BJ%5D%5C%5CReplacing%3A%5C%5Cv%3D%5Csqrt%7B%5Cfrac%7B2%2AE_%7Bk%7D%20%7D%7Bm%7D%20%7D%20%5C%5Cv%3D%5Csqrt%7B%5Cfrac%7B2%2A1100000000%20%7D%7B80000%7D%20%7D%5C%5Cv%3D165.83%5Bm%2Fs%5D)
Answer:

Explanation:
When the velocity changes uniformly, the object has a constant acceleration. The acceleration, the velocities, and the distance are related by the equation:

Where:
vf = final velocity
vo = initial velocity
a = acceleration
x = distance
Solving for a:

The car travels a distance of x=200 m and the velocities are:
vo = 216 Km/h
vf = 360 Km/h
Both velocities must be converted to meters by seconds.
vo = 216 Km/h *1000/3600 = 60 m/s
vf = 360 Km/h *1000/3600 = 100 m/s
The acceleration is:




Answer:
The applied torque is 3.84 N-m.
Explanation:
Given that,
Moment of inertia of the wheel is 
Initial speed of the wheel is 0 (at rest)
Final angular speed is 25 rad/s
Time, t = 13 s
The relation between moment of inertia and torque is given by :

So, the applied torque is 3.84 N-m.
Answer:
10 s
Explanation:
Given:
Δx = 100 m
v₀ = 0 m/s
a = 2 m/s²
Find: t
Δx = v₀ t + ½ at²
100 m = (0 m/s) t + ½ (2 m/s²) t²
t = 10 s