Yes all those are correct, but I don't know what the question was
Answer:
Explanation:
If a number of less than 1, then the number has a decimal point like
0.085, 0.008 e.t.c.
The zeros before the none zero digit are insignificant. The significant figure is 8 and 5.
But if there a zero between the none zero e.g. 0.0087056
Here the zero between 7 and 5 is significant, then the significant numbers are 8,7,0,5,6
But if the zero is not in between the none zero digit, then the zero is insignificant
E.g 0.05800
The last two zero is insignificant, the significant number is 5 and 8
So, If a positive numbers less than 1, the zeros between the decimal point and a non-zero number are NOT significant.
Answer:
1.190390345 degrees.
Explanation:
As stated in the problem that the angle between the two curves is also the angle between slopes of the two cures at the point of intersection, which is 1 (when we set two equation equal and solve for x).
We know, if you don't you could verify it for yourself and it will be a nice mathematical exercise for you, that when there are two lines with slopes
and
then the angle between them and their two slopes has following relationship.
where
is angle between the two lines.
As it is clear that we can easily get the angle between the two curves if we know slopes at that point, which you will see in second is very straight forward to calculate.
Slopes are simply derivatives evaluated at the point of intersection and the two derivatives are
16x and
, substituting x =1 we get,
and
.
Now put
and
in this relationship, rearrange and solve for angle, it will come out to be
= 1.190390345 degrees.
that is our angle that we want to know between the two cures at the point of their intersection.
Answer:
The total momentum after the collision is 1 kg-m/s.
Explanation:
We have,
Mass of a steel sphere is 0.5 kg
It is travelling with a speed of 2 m/s
It collides with an identical sphere at rest.
The law of conservation of momentum states that the initial momentum is equal to the final momentum for an isolated system. Here, initial momentum is :
![p_i=p_f=mv\\\\p_i=p_f=0.5\times 2\\\\p_f=1\ kg-m/s](https://tex.z-dn.net/?f=p_i%3Dp_f%3Dmv%5C%5C%5C%5Cp_i%3Dp_f%3D0.5%5Ctimes%202%5C%5C%5C%5Cp_f%3D1%5C%20kg-m%2Fs)
So, the total momentum after the collision is 1 kg-m/s.