Answer:
2.93 x 10⁻⁴ volts
4.88 x 10⁻⁵ A
Explanation:
N = Number of turns in cylindrical coil = 400
r = radius of the coil = 2 cm = 0.02 m
Area of the coil is given as
A = πr²
A = (3.14)(0.02)²
A = 12.56 x 10⁻⁴ m²
ΔB = Change in magnetic field = 0.13 - 0.06 = 0.07 T
t = time interval = 2 min = 2 x 60 sec = 120 sec
Induced emf is given as
E = 2.93 x 10⁻⁴ volts
R = resistance of the resistor = 6 ohm
i = induced current
Using ohm's law
E = i R
2.93 x 10⁻⁴ = i (6)
i = 4.88 x 10⁻⁵ A
Given:
The initial velocity of the object, v=30 m/s
a_t=0
a_c≠0
The time period is Δt.
To find:
The right conclusion among the given choices.
Explanation:
a_t represents the tangential accleration on the object and a_c represents the centripetal acceleration on the object.
The centripetal acceleration is the acceleration that keeps the object in its circular path. The centripetal force only changes the direction of the velocity and not the magnitude.
Thus the magnitude of the velocity of the object remains the same after a time interval of Δt. But the direction of the velocity of the object will be changed and will be unknown after Δt seconds.
Final answer:
Thus the object will be traveling at 30 m/s in some unknown direction.
Therefore, the correct answer is option a.
Answer:
<em>The change in momentum of the car is 3575 Kg.m/s</em>
Explanation:
<u>Impulse and Momentum</u>
The impulse (J) experienced by the object equals the change in momentum of the object (Δp).
The formula that represents the above statement is:
J = Δp
The impulse is calculated as
J = F.t
Where F is the applied force and t is the time.
The car hits a wall with a force of F=6500 N and stops in 0.55 s. Thus, the impulse is:
J = 6500 * 0.55
J = 3575 Kg.m/s
The change in momentum of the car is:
The change in momentum of the car is 3575 Kg.m/s