Answer:
a) t = 56.34 minutes
b) v = 5.32mph
c) t = 47.22 minutes
d) v = 6.35 mph
Explanation:
Given;
The speed of Ilya and Anya are
Run = 8.90mph
Walk = 3.80mph
distance = 5.00 miles
a) anya walk half the distance and run half the distance.
Speed = distance/time
time = distance/speed
t1 = 5×0.5/3.80 = 0.658hr
t2 = 5×0.5/8.90 = 0.281hr
t = t1 + t2 = 0.658+0.281 = 0.939hr × 60minutes/hr
t = 56.34 minutes
b) average speed = total distance/total time taken
v = 5.00miles/0.939hr = 5.32mph
c) Ilya walk half the time and run half the time.
t1 = t2 = t/2
Distance = speed × time
Substituting the values.
5 = 3.80(t/2) + 8.90(t/2)
5 = 12.70(t/2)
t = 10/12.70
t = 0.787 hr × 60 minutes/hr
t = 47.22 minutes
d) average speed = 5miles/0.787hr
v = 6.35 mph
Answer:
Mechanical resonance is the tendency of a mechanical system to respond at greater amplitude when the frequency of its oscillations matches the system's natural frequency of vibration (its resonance frequency.
Explanation:
Explanation:
The given data is as follows.
Dielectric constant, K = 3.0
Area of the plates (A) = 0.021 
Distance between plates (d) = 
Maximum electric field (E) = 
Now, we will calculate the capacitance as follows.
C = 
= 
= 
=
F
Formula to calculate electric charge is as follows.
E = 
or, Q =
(as
)
= 
= 
Formula to calculate the energy is as follows.
U = 
= 
= 
= 
or, = 
Thus, we can conclude that the maximum energy that can be stored in the capacitor is
.
In the given question, we already know
Work done = 150 joules
Force = 120 Newton
Now we know from the study of physics that
Distance (D) = Work done / Force
(a) To find the height upto which the backpack has been lifted,
D = Work done / Force
= 150 / 120
= 15 / 12
= 5 / 4
= 1.25
So the backpack was lifted to a height of 1.25 metres.
(b) Now we have the find the weight of the backpack in pounds
We know that 1 pound = 4.448 Newton
So if
4.448 Newton = 1 pound
Then
120 Newton = (120 / 4.448) pounds
= 26.978 pounds
So the backpack weighed 26.98 pounds.