Gravity pulls on the object in the downward direction. The normal force to the inclined plane points in a direction perpendicular to the surface of the plane. Then for the object to be at rest, the frictional force must act parallel to the inclined plane, pointing in the upward direction.
Answer:
1.42 s
Explanation:
The equation for free fall of an object starting from rest is generally written as
where
s is the vertical distance covered
a is the acceleration due to gravity
t is the time
On this celestial body, the equation is
this means that
so the acceleration of gravity on the body is
The velocity of an object in free fall starting from rest is given by
In this case,
g = 20.08 m/s^2
So the time taken to reach a velocity of
v = 28.6 m/s
is
the sum of vectors with the Pythagorean theorem allows us to find that the maximum magnitude occurs for the case:
d) the two vectors are parallel
Vectors are physical quantities that have modulus and direction, for example: force, velocity, acceleration, etc.
Vector algebra has defined the sum, the product by a scalar and by a vector. The modulus and the direction of the resulting vector must be encoded.
The sum of two quantities is done using the Pythagorean theorem
c² = a² + b²
where c is the resultant called hypotenuse, a and b are the summing vectors called legs; trigonometry is used for the direction.
Let's apply this expression to the present case
a, b) perpendicular vectors
c² = a² + b²
c =
c = 11.7
the magnitude is the same in both cases, changing the direction of the vector
c) Antiparallel vectors
For this case the vectors are collinear, so the sum reduces to the algebraic addition
c = a-b
c = 6 -10
c = -4
d) parallel vectors
c = a + b
c = 4 + 10
c = 14
We can see that the vectors addition gives their maximum and minimum values when the vectors are collinear.
In conclusion using the vectors addition we find that the correct answer is
d) the two vectors are parallel
learn more about vector addition here: