Answer:
a) 378 m.
b) 184 m.
Explanation:
To obtain the maximun heigth we need to use the formula of accelerated motion:
![Y=Yo+Vo*t+\frac{1}{2}*a*t^2[\tex][tex]Y=0+0*10+\frac{1}{2}*5.0*(10)^2\\Y=250m](https://tex.z-dn.net/?f=Y%3DYo%2BVo%2At%2B%5Cfrac%7B1%7D%7B2%7D%2Aa%2At%5E2%5B%5Ctex%5D%3C%2Fp%3E%3Cp%3E%5Btex%5DY%3D0%2B0%2A10%2B%5Cfrac%7B1%7D%7B2%7D%2A5.0%2A%2810%29%5E2%5C%5CY%3D250m)
and the velocity of the helicopter when the engine was turned off is given by:
so it travels a few meter up before going down:
So the maximun height is 378m.
The time the helicopter takes to crash to the ground is given by:
solving the quadratic function: t=13.9s and t=-3.67
we have to take the positive value.
Power is going down with the same acceleration of the helicopter so the distance above the ground after 7 seconds is given by:
and the velocity at that moment is given by:
we took the acceleration of the gravity and velocity as negative because the movement is taking place in the negative direction.
the helicopter took 13.9 seconds to crash the ground, so after 6.9 seconds power is at:
184 meters above the ground.
Answer:
5.6 volts
Explanation:
According to Ohm's Law, V = IR
where V = voltage, I = Current and R = resistance
Explanation:
A position versus time graph gives the position of an object at a certain point in time. The slope, also known as the derivative, will give the change in the position with respect to time. The slope will give you the instantaneous velocity of the object due to velocity being defined as the change in position over time
According to the Law of Conservation of Energy, energy is neither created nor destroyed. They are just transferred from one system to another. To obey this law, the energy of the substances inside the container must be equal to the substance added to it. The energy is in the form of heat. There can be two types of heat energy: latent heat and sensible heat. Sensible heat is energy added or removed when a substance changes in temperature. Latent heat is the energy added or removed at a constant temperature during a phase change. Since there is no mention of phase change, we assume the heat involved here is sensible heat. The equation for sensible heat is:
H = mCpΔT
where
m is the mass of the substance
Cp is the specific heat of a certain type of material or substance
ΔT is the change in temperature.
So the law of conservation of heat tells that:
Sensible heat of Z + Sensible heat of container = Sensible heat of X
Since we have no idea what these substances are, there is no way of knowing the Cp. We can't proceed with the calculations. So, we can only assume that in the duration of 15 minutes, the whole system achieves equilibrium. Therefore, the equilibrium temperature of the system is equal to 32°C. The answer is C.
