Answer:
The new volume is 4.15 L
Explanation:
Given
Initial Volume (,V1) = 4L
Initial Temperature (T1) = 294K
Final Temperature (T2) = 305k
Required
Determine the new volume (V2)
This will be calculated using ideal gas equation where pressure is constant.
We have
V1/T1 = V2/T2
Substitute values for V1, T1 and V2
4/294 = V2/305
Solve for V2
V2 = 305 * 4/294
V2 = 1220/294
V2 = 4.15L (approximated)
Answer:
Explanation:
Given that,
Number of turns is 119
N = 119
The radius of the coils is 2.47 cm
R = 2.47 cm = 0.0247m
Then, the area of the circular coil is given as
A = πr²
A = π × 0.0247²
A = 1.917 × 10^-3 m²
Time interval
t = 0.167s
The magnetic field strength increases from B1 = 57.9mT to B2 = 96.9 mT
Then,
∆B = B2 - B1 = 96.9 — 57.9 = 39 mT
∆B = 39 × 10^-3 T
We want find the average emf
EMF induced in a coil is given as
ε = -N dΦ / dt
Then, magnetic flux (Φ) is given as
Φ = BA
Then,
ε = -N dΦ / dt
ε = -N d(BA) / dt
Since the area is constant, so we have
ε = -N•A dB / dt
ε = -N •A • ∆B / ∆t
So, inserting the parameters above
ε = - 199 × 1.917 × 10^-3 × 39 × 10^-3 / 0.167
ε = 0.0891 V
To mV
ε = 89.1 × 10^-3 V
ε = -89.1 mV
Then, the magnitude of EMF induced in the coil is 89.1 mV
Impulse = Force * times and also Impulse = change in momentum.
Given that the mass does not change, change if momentum = mass * (final velocity - initial velocity)
Given that you know mass and initial velocity (which is the velicity before the cart hits the wall) you need the final velocity (which is the velocity after the cart hits the wall).
Answer: the velocity of the cart after it hits the wall.