Answer:
Explanation:
y = 16 sinπx/15 cos(96πt)
When t = 0
y = 16 sinπx/15
here πx/15 is phase of the point at x
if x = 13
Phase = 13π/15
if x = 16
Phase = 16π/15
Phase difference
= 16π/15 - 13π/15
= 3π/15
= π/5 radian .
Answer:
14 N to the right
Explanation:
The net force is equal to the resultant of the forces acting on the wagon. In this case, we are considering two forces acting on the wagon:
- The force applied by Marybeth, to the left, of magnitude 34 N
- The force applied by Grant, to the right, of magnitude 48 N
Since the two forces are in opposite directions, in order to find the net force, we must choose a positive direction. Let's take "right" as positive direction, so the net force is:

And the positive sign means the net force is to the right. Due to this net force different from zero, the wagon will have an acceleration to the right, so if the wagon was at rest, it will start moving to the right.
Answer:
0.25 gram of neptunium is remaining
Explanation:
First we calculate the no. of half lives passed. For that we have formula:
n = t/T
where,
n = no. of half lives passed = ?
t = total time passed = 8 days (From Monday noon to Tuesday noon of following week)
T = Half Life Period = 2 days
Therefore,
n = 8 days/2 days
n = 4
Now, for the remaining mass of neptunium, we use the formula:
m = (mi)/(2)^n
where,
mi = initial mass of neptunium = 4.00 grams
m = remaining mass of neptunium = ?
Therefore,
m = 4 grams/2⁴
<u>m = 0.25 gram</u>
The mass of the petcock of the pressure cooker is 0.257 kg.
The total pressure inside the cooker is= atmospheric pressure+Gauge pressure
=100 kPa+101 kPa=201*10^3 Pa
The area of the petcock is= (π/4)d^2=0.785*0.004^2=12.56*10^(-6) m^2
Now the mass of the petcock is calculated as
P=(F/A)=(mg/A)
201*10^3=(m*9.81/(12.56*10^(-6)
m=0.257 kg
Therefore the mass of the petcock is 0.257 kg
Pesticides are nothing but strong chemicals that kill the pests.
They are harmful for human also.
While spraying, the pesticide mixes with the air and enters the farmer’s body who is spraying.
Inside the body this chemical gets mixed with the blood and affects the immune system.
As a result the farmer falls ill.
So it is important that the person who is spraying pesticide mush cover his mouth and nose to protect himself from its harmful effect.