Answer:
y = 10.44cos(2t - 0.291) cm
Explanation:
y = Acos(2πt/T + φ) = Acos(2πt/π + φ) = Acos(2t + φ)
v = y' = -2Αsin(2t + φ)
10 = Acos(2(0) + φ) = Acosφ
6 = -2Αsin(2(0) + φ) = -2Asinφ
6/10 = -2Asinφ/Acosφ = -2tanφ
tanφ = -0.3
φ = -0.291 radians
10 = Acos(-0.291)
A = 10/cos(-0.291) = 10.44
Answer:
Increase in the temperature of water would be 0.9 degree C
Explanation:
As we know by energy conservation
Change in the gravitational potential energy of the cylinder = increase in the thermal energy of the water
Here we know that the gravitational potential energy of the cylinder is given as

here we have
h = 300 m
now we can say

now if the cylinder falls from height h = 100 m
then we have

now from above two equations


Answer:
0.972222........
Explanation:
1. Convert km/h to m/h by multiplying by 1000
2. Divide by 60 so that you have 58.3333... meters per minute
3. Divide by 60 again so now you have 0.972222... m/s
This is a tough one.
In A, B, and C, there are various routes to get from one end to the other end through 2 or 3 capacitors.
D is the only configuration where it's possible to get from one end to the other through only 1 of them.
I'm not totally confident, but I think D is the one that's not like the others.