Answer:
100,048
Explanation:
K.E = 1/2 m (v)^2
K.E = 1^/2 * 74 * (52)^2
K.E = 100,048J =100.048kJ
Answer:
KE =
m![v^{2}](https://tex.z-dn.net/?f=v%5E%7B2%7D)
Explanation:
In the generation of energy from hydroelectric power station, the motion of water, and the turbines are paramount. The falling flowing water turns the blades of the turbine, which in-turn causes the movement of a coil within a strong magnetic field.
The motion of the coil which cuts the strong magnetic field induces current. Thus, the system generates electrical energy.
The equation that links kinetic energy (KE), mass (m) and speed (v) can be expressed as:
KE =
m![v^{2}](https://tex.z-dn.net/?f=v%5E%7B2%7D)
Answer:
Shown by explanation;
Explanation:
The heat of the sample = mass ×specific heat capacity of the sample × temperature change(∆T)
Assumption;I assume the mass of the samples are : 109g and 192g
∆T= 30.1-21=8.9°c.
The heat of the samples are for 109g are:
0.109 × 4186 × 8.9 =4060.84J
For 0.192g are;
∆T= 67-30.1-=36.9°c
0.192 × 4186×36.9=29656.97J
Answer:
The maximum velocity is 1.58 m/s.
Explanation:
A spring pendulum with stiffness k = 100N/m is attached to an object of mass m = 0.1kg, pulls the object out of the equilibrium position by a distance of 5cm, and then lets go of the hand for the oscillating object. Calculate the achievable vmax.
Spring constant, K = 100 N/m
mass, m = 0.1 kg
Amplitude, A = 5 cm = 0.05 m
Let the angular frequency is w.
![w = \sqrt{K}{m}\\\\w = \sqrt{100}{0.1}\\\\w = 31.6 rad/s](https://tex.z-dn.net/?f=w%20%3D%20%5Csqrt%7BK%7D%7Bm%7D%5C%5C%5C%5Cw%20%3D%20%5Csqrt%7B100%7D%7B0.1%7D%5C%5C%5C%5Cw%20%3D%2031.6%20rad%2Fs)
The maximum velocity is
![v_{max} = w A\\\\v_{max} = 31.6\times 0.05 = 1.58 m/s](https://tex.z-dn.net/?f=v_%7Bmax%7D%20%3D%20w%20A%5C%5C%5C%5Cv_%7Bmax%7D%20%3D%2031.6%5Ctimes%200.05%20%3D%201.58%20m%2Fs)