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The vector position of a particle varies in time according to the expression r = 3i-6t^2 j.(a) find an expression of velocity of particle as a function of time (b) determine acceleration of particle as a function of time (c)calculate the position and velocity at t=1s
In a tuned circuit,if a capacitor is added only to the secondary coil, derive the current and voltage across the capacitor in the resultant circuit.
A microwave oven needs 240 V of electricity to operate and draws 5 A current. How much does it cost per month (30 days) if it operates 30 minutes per day and TNB char RM 0.95 cents per kWh?
You can determine the index of
refraction of a substance by
determining its critical angle. (a) What
is the index of refraction of a
substance that has a critical angle of
68.4º when submerged in water?
What is the substance, based on Table
25.1? (b) What would the critical
angle be for this substance in air?
A rechargeable battery has emf εbattery=14.0 V, internal resistance r=4.00 Ω and battery capacity (total charge) 2.00 Ah.
When the battery is fully charged, a light bulb is connected to it for 8 hours (no other elements are in the circuit). The light bulb has specs 14.0 V and 1.00 W.
We assume the light bulb has constant resistance (independent of the current) and the emf of the battery remains constant.
After these 8 hours the battery is disconnected from the light bulb and connected in this circuit for charging:
Picture: +ε to +battery to -battery to resistor R1 to -ε
The charger consists of a ideal voltage source with ε=20.0 V (with no internal resistance) and a resistor R1 in series.
(a) What is the minimum time that is needed to fully recharge the battery (with R1=0 Ω)
(b) What should the resistance R1 be to fully recharge the battery in exactly 1 hour?
A box of material X changes volume from 8.75 m³ to 10.0 m³ , when temperature is raised from 42.0 °C to 144 °C. Mass of the box is 12.0 kg.
(a) Calculate the volume expansion coefficient of the material.
(b) Calculate the change in density of the box, if temperature changes by 248 °C and initial volume is 10.0 m³.
3. Determine the image distance and image height for a 5.00-cm tall object placed 20.0 cm
from a concave mirror having a focal length of 15.0 cm.
An optical instrument consist of a converging lens of focal lens 30cm, placed 20cm away from a diverging lens of focal lens 5cm. An object is placed 6m distance from the formal lens, calculate the position and magnification of the image form
The body temperature of mammals (humans, furry animals & marine animals) ranges from 35°C – 38°C whereas birds have body temperature ranging from 40°C – 43°C. Exemplify how the body temperature of these vertebrates are maintained during a cold weather.
Two charges q1 = -6 µC and q2 = +10 µC are placed 12 cm apart. Another charge, q=-2 μC is placed in the middle. Determine the magnitude and direction of the force acting on q3 by the charge q1 and q2.
