Answer: The mass of the object is 10 kg
Step-by-step explanation:
According to Newton's second law of motion, the force
applied to an object with mass
is directly proportional to its acceleration
:
(1)
If we isolate
:
(2) This means the acceleration of the object varies inversely with its mass
Now, we are given the following data to calculate a constant force using (1):

(3)
(4)
(5)
If we apply this same force calulated in (4) in another object with an acceleration of
, its mass
will be:
(6)
(7)
Finding
:
This is the mass of the object
This is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π
Answer:
Yes
Step-by-step explanation:
Graph this function on your calculator and you will see an upwards graph, if the range (y), -1 can be mapped on the graph, it is within the range.