Energy cannot be created or destroyed. This statement is known as law of conservation of energy, and it implies that whenever a certain form of energy does change, the loss of this form of energy must have converted into an another type of energy. A typical example is an object falling to the ground: initially, the object has gravitational potential energy. As the object falls down, it loses potential energy (since its altitude from the ground decreases), but it acquires kinetic energy (because its velocity increases). In this example, potential energy has converted into kinetic energy, but the total energy of the object has remained constant.
when object is placed on inclined plane then we will have net force along the inclined plane which is due to the component of weight along the incline
so we can say that


now in order to find the acceleration we can use Newton's II law




and the direction is along the inclined plane downwards as weight always pull downwards
So correct answer will be
<em>B)4.0m/s2, directed down the slope</em>
Answer:
The maximum number of days for the trip
Explanation:
Given
--- Missing Equation
Required
What does d represent?
From the question, we understand that t represent the number of days;
So, by default 212 represent days
Going further:
For the equation,
to be valid; the value of t must be within the interval;

When 
that is the beginning of the journey
As t increases;
212 - t decreases
Until the point where t = 212,
This signifies the end of the journey
So: 212 - t indicates a particular day between 0 and 212.
Hence, 212 represents the maximum number of days for the trip.
The Average velocity for the bacterium is 0.75 unit/sec.
<u>Explanation:</u>
The given values are in the vector form
Where,
dS = distance covered
dT = time interval
Now, to calculate distance covered, we have

&

d S=(4.6 i+1.9 k)-(2.2 i+3.7 j - 1.2 k)
d S=(4.6-2.2) i+(0-3.7) j+(1.9+1.2) k
d S=2.4 i-3.7 j+3.1 k
Now, putting these values in the standard formula to evaluate the average velocity, we get;


As dT=7.2 sec
Now,
Solving the equation, we get;


Hence, the average velocity for the bacterium is 0.75 unit/sec.
Answer:
1471.5 Newton
10
Explanation:
Small piston area = A₁ = 2 m²
Large piston area A₂ = 20 m
m = Mass of car = 1500 kg
g = Acceleration due to gravity = 9.81 m/s²
Force
F = mg = 1500×9.81 = 14715 N
Force applied by car is 14715 N
a) Pascal's law

Force required is 1471.5 Newton
b) Mechanical advantage

Mechanical advantage is 10