4. An object moves in a circular path at a constant speed. Compare the direction of the object’s velocity and acceleration vecto
rs.
A) Both vectors point in the same direction.
B) Both vectors point in opposite directions.
C) The vectors are perpendicular.
A) Both vectors point in the same direction.
B) Both vectors point in opposite directions.
C) The vectors are perpendicular.
1 answer:
Answer:
Option C
The vectors are perpendicular
Explanation:
Acceleration will be directed towards the center for uniform circular motion. Consequently, velocity of the object increases hence acceleration. The direction of velocity is tangent to its circular motion, therefore, tangential velocity vector is perpendicular to centripetal acceleration vector. Therefore, comparing the direction of the object, the vectors are perpendicular to each other.
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Answer:
7.9060 m²
8.57 Volts
5.142×10⁻⁶ Joule
1.2×10⁻⁶ Coulomb
Explanation:
C = Capacitance between plates = 0.14 μF = 0.14×10⁻⁶ F
d = Distance between plates = 0.5 mm = 0.5×10⁻³ m
Q = Charge = 1.2 μC = 1.2×10⁻⁶ C
ε₀ = Permittivity = 8.854×10⁻¹² F/m
Capacitance
∴ Area of each plate is 7.9060 m²
Voltage
∴ Potential difference between the plates if the capacitor is charged to 1.2 μC is 8.57 Volts.
Energy stored
E=0.5CV²
⇒E = 0.5×0.14×10⁻⁶×8.57²
⇒E = 5.142×10⁻⁶ Joule
∴ Stored energy is 5.142×10⁻⁶ Joule
Charge
Q = CV
⇒Q = 0.14×10⁻⁶×8.57
⇒Q = 1.2×10⁻⁶ C
∴ Charge the capacitor carries before a spark occurs between the two plates is 1.2×10⁻⁶ Coulomb