Answer:
15. 50 kg
16a. 5 kg
16b. 3.75 kg
Step-by-step explanation:
The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².
F = ma
m = F/a . . . . . divide by a
__
15. m = (250 N)/(5 m/s²) = 50 kg
__
16a. m = (15 N)/(3 m/s²) = 5 kg
16b. m = (15 N)/(4 m/s²) = 3.75 kg
_____
<em>Comment on units</em>
Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).
Answer:
AC = 18 ft
Explanation:
There is a geometric theorem that states that:
" In a triangle, the line joining two midpoints of two sides is parallel to the third side and equals have its length"
Now, let's check the given triangle:
M is the midpoint of AB
N is the midpoint of BC
Based on the above theorem:
MN will be parallel to AC
and
length of MN = (1/2) * length of AC
We are given that:
length of MN = 9 ft
Therefore:
9 = (1/2) * length of AC
length of AC = 2 * 9 = 18 ft
Hope this jhelps :)
