Answer:
Average power output of insect is 2.42W
Explanation:
Workdone by constant force during displacement is given by:
W= F× d cos theta
Where theta is angle between F and d.
Power output due to the force over the interval time is given by:
P= Workdone/change in time
Ginen:
Mass of insect,m= 7.0g= 7/1000 = 0.07kg
Downward force applied by insect,F= 2mg
Distance moved by the wing each stroke=1.5cm=1.5/100= 0.015m
W= F× d cos theta
Where theta=0° since force is in the same direction as the displacement.
W= 2mg×d
W= 2× 0.07 × 9.8 × 0.015
W= 0.02058J
Power output = W/ change in time
Since wings make 117strokes each second time interval is 1/117 = 8.5×10^-3seconds
Power= 0.02058/(8.5×10^-3)
Power= 2.42W
Answer:
<h3>the momentum of the earth</h3>
Explanation:
To solve letter a:
d1 = 85t1 = 16 km,
85t1 = 16,
t1 = 16 / 85 = 0.1882 h = 11.29 min.
d2 = 115t2 = 16 km,
115t2 = 16,
t2 = 16 / 115 = 0.139 h = 8.35 min.
t1 - t2 = 11.29 - 8.35 = 2.94 min.
Car #2 arrives 2.94 minutes sooner.
To solve letter b:
15 min = 1/4 h = 0.25 h.
d1 = d2,
115t = 85(t + 0.25),
115t = 85t + 21.25,
115t - 85t = 21.25,
30t = 21.25,
t = 21.25 / 30 = 0.71 h,
d = 115 * 0.71 = 81.65 km.
Answer:
a.Velocity of A and Velocity of B will be opposite in direction.
b.Both velocities have the same direction.
c. The two objects will move in a direction of some angle α.
Explanation:
When the angle gets maximum the velocities of the two objects pull each other and move in opposite direction. But when the two objects make an angle zero degree with each other their motion is in the same direction.
<span>s=2.7 centimeters = 0.027 meters
t=3.9 milliseconds = 0.0039 seconds
s=(1/2)a*t^2
so
a=(2.7*2)/(0.0039)^2
= 355,029.58 m/s^2
a=355,029.58 m/s^2 = 355.02958 km / s^2</span>