50π m ≈ 157 m
Explanation:
100 rev/min (2π rad/rev) / (60 sec/min) = 3⅓π rad/s
d = ωrt = 3⅓π(0.50)(30) = 50π m ≈ 157 m
Answer:light year is a measurement of distance. It is often used in special theory of relativity
Explanation:
Answer:
0.0979 kg/m³
Explanation:
Treating air as an ideal gas:
PV = nRT
n/V = P/RT
Density depends on both pressure and temperature. If we assume the temperature is constant, we can say that density is directly proportional to pressure.
ρ = kP
ρ/P = k
Writing a proportion:
(1.26 kg/m³) / (7720 mmHg) = ρ / (600 mmHg)
ρ = 0.0979 kg/m³
Answer:
a) E = 4.5*10⁴ V/m
b) C= 17.7 nF
c) Q = 159. 3 nC
Explanation:
a)
- By definition, the electric field is the electrostatic force per unit charge, and since the potential difference between plates is just the work done by the field, divided by the charge, assuming a uniform electric field, if V is the potential difference between plates, and d is the separation between plates, the electric field can be expressed as follows:
b)
- For a parallel-plate capacitor, applying the definition of capacitance as the quotient between the charge on one of the plates and the potential difference between them, and assuming a uniform surface charge density σ, we get:
From (1), we know that V = E*d, but at the same time, applying Gauss'
Law at a closed surface half within the plate, half outside it , it can be
showed than E= σ/ε₀, so finally we get:
c)
- From (3) we can solve for Q as follows:
His average speed all the way is
(50 meters) / (5 sec) = 10 m/s .
But, if the acceleration is uniform all the way down, then
Average speed = (1/2) (start speed + end speed)
Start speed = 0.
So
Average speed = (1/2) (0 + end speed)
= (1/2) of end speed .
10 m/s = (1/2) of end speed
End speed (at the bottom) = 20 m/s .
Magnitude of acceleration = (change in speed) / (time for the change)
= (20 m/s) / (5 sec)
= 4 m/s² .