Due that the velocity is constant that means that friction force is equal to the force exert by you, otherwise the refrigerator will accelerate or decelerate and in both cases velocity will not be constant.
So then the friction force between refrigerator and floor is 150 Newtons.
Answer:
Identify the object to be analyzed. For some systems in equilibrium, it may be necessary to consider more than one object. Identify all forces acting on the object. Identify the questions you need to answer. Identify the information given in the problem. In realistic problems, some key information may be implicit in the situation rather than provided explicitly.
Explanation:
Identify the object to be analyzed. For some systems in equilibrium, it may be necessary to consider more than one object. Identify all forces acting on the object. Identify the questions you need to answer. Identify the information given in the problem. In realistic problems, some key information may be implicit in the situation rather than provided explicitly.
Answer:
![\theta = n\pi/2, {\rm where~n~is~an~integer.}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20n%5Cpi%2F2%2C%20%7B%5Crm%20where~n~is~an~integer.%7D)
Explanation:
We should first find the velocity and acceleration functions. The velocity function is the derivative of the position function with respect to time, and the acceleration function is the derivative of the velocity function with respect to time.
![\vec{v}(t) = \frac{d\vec{r}(t)}{dt} = (2)\^i + (\sqrt{7})\^j + (6t)\^k](https://tex.z-dn.net/?f=%5Cvec%7Bv%7D%28t%29%20%3D%20%5Cfrac%7Bd%5Cvec%7Br%7D%28t%29%7D%7Bdt%7D%20%3D%20%282%29%5C%5Ei%20%2B%20%28%5Csqrt%7B7%7D%29%5C%5Ej%20%2B%20%286t%29%5C%5Ek)
Similarly,
![\vec{a}(t) = \frac{d\vec{v}(t)}{dt} = (6)\^k](https://tex.z-dn.net/?f=%5Cvec%7Ba%7D%28t%29%20%3D%20%5Cfrac%7Bd%5Cvec%7Bv%7D%28t%29%7D%7Bdt%7D%20%3D%20%286%29%5C%5Ek)
Now, the angle between velocity and acceleration vectors can be found.
The angle between any two vectors can be found by scalar product of them:
![\vec{A}.\vec{B} = |\vec{A}|.|\vec{B}|.\cos(\theta)](https://tex.z-dn.net/?f=%5Cvec%7BA%7D.%5Cvec%7BB%7D%20%3D%20%7C%5Cvec%7BA%7D%7C.%7C%5Cvec%7BB%7D%7C.%5Ccos%28%5Ctheta%29)
So,
![\vec{v}(t).\vec{a}(t) = |\vec{v}(t)|.|\vec{a}(t)|.\cos(\theta)\\36t = \sqrt{4 + 7 + 36t^2}.6.\cos(\theta)](https://tex.z-dn.net/?f=%5Cvec%7Bv%7D%28t%29.%5Cvec%7Ba%7D%28t%29%20%3D%20%7C%5Cvec%7Bv%7D%28t%29%7C.%7C%5Cvec%7Ba%7D%28t%29%7C.%5Ccos%28%5Ctheta%29%5C%5C36t%20%3D%20%5Csqrt%7B4%20%2B%207%20%2B%2036t%5E2%7D.6.%5Ccos%28%5Ctheta%29)
At time t = 0, this equation becomes
![0 = 6\sqrt{11}\cos(\theta)\\\cos(\theta) = 0\\\theta = n\pi/2, {\rm where~n~is~an~integer.}](https://tex.z-dn.net/?f=0%20%3D%206%5Csqrt%7B11%7D%5Ccos%28%5Ctheta%29%5C%5C%5Ccos%28%5Ctheta%29%20%3D%200%5C%5C%5Ctheta%20%3D%20n%5Cpi%2F2%2C%20%7B%5Crm%20where~n~is~an~integer.%7D)
Answer:
Two forces that act in opposite directions produce a resultant force that is smaller than either individual force. To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.
Charles' Law: The Temperature-Volume Law. This law states that the volume of a given amount of gas held at constant pressure is directly proportional to the Kelvin temperature. As the volume goes up, the temperature also goes up, and vice-versa.