I assume the x-y axis are tilted such that the x-axis is parallel to the surface of the hill while the y-axis is perpendicular to it.
In this case, the x-component of the weight is given by:

where
m is the mass of the car
g is the acceleration of gravity

is the angle of the hill
Substituting numbers into the formula, we find
Answer:

Explanation:
Newton's law of universal gravitation states that the force experimented by a satellite of mass m orbiting Mars, which has mass
at a distance r will be:

where
is the gravitational constant.
This force is the centripetal force the satellite experiments, so we can write:

Putting all together:

which means:
![r=\sqrt[3]{\frac{GM}{4\pi^2}T^2}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7BGM%7D%7B4%5Cpi%5E2%7DT%5E2%7D)
Which for our values is:
![r=\sqrt[3]{\frac{(6.67\times10^{-11}Nm^2/kg^2)(6.39\times10^{23} kg)}{4\pi^2}(1.026\times24\times60\times60s)^2}=20395282m=20395.3km](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B%286.67%5Ctimes10%5E%7B-11%7DNm%5E2%2Fkg%5E2%29%286.39%5Ctimes10%5E%7B23%7D%20kg%29%7D%7B4%5Cpi%5E2%7D%281.026%5Ctimes24%5Ctimes60%5Ctimes60s%29%5E2%7D%3D20395282m%3D20395.3km)
Since this distance is measured from the center of Mars, to have the height above the Martian surface we need to substract the radius of Mars R=3389.5 km
, which leaves us with:

To solve this problem we will use the kinematic equations of angular motion in relation to those of linear / tangential motion.
We will proceed to find the centripetal acceleration (From the ratio of the radius and angular velocity to the linear velocity) and the tangential acceleration to finally find the total acceleration of the body.
Our data is given as:
The angular speed
The angular acceleration
The distance
The relation between the linear velocity and angular velocity is

Where,
r = Radius
Angular velocity
At the same time we have that the centripetal acceleration is






Now the tangential acceleration is given as,

Here,
Angular acceleration
r = Radius


Finally using the properties of the vectors, we will have that the resulting component of the acceleration would be



Therefore the correct answer is C.
Answer:
The force of the car engine.
Explanation:
The work- energy theorem states that the work done on an object is equal to the change in its kinetic energy. Its expression is given by :

Also, W = F.d
Where
F is the force applied by the engine of car
d is the displacement
m is the mass of an object
u is the initial speed
v is the final speed
So, the force of the car engine increased the car’s kinetic energy. Hence, this is the required solution.
When you have a warm shower, you create steam. So when the warm steam flows in the air and starts to be in contact with a cold surface, it condenses causing a mist to form on the cold surface. The heated mirror is warm so, when, the steam is in contact with the mirror condensation is prevented. Therefore, the mirror stays clear.