Answer:
T = 2.83701481512 seconds
Explanation:
Hi!
The formula that you will want to use to solve this question is:
T--> period
L --> length of the pendulum
g --> acceleration due to gravity (9.8m/s^2)
since we know that the mass of the bob at the end of the pendulum does not affect the period of the pendulum, we can go ahead and ignore that bit of information (unless, of course, the weight causes the pendulum to stretch)
so now we can plug in our given info into the formula above and solve!
T = 2*pi * sqrt(2/9.8)
T = 2.83701481512 seconds
*Note*
- I used 3.14 to pi, if you need to use a different value for pi (a longer version, etc) your answer will be slightly different
I hope this helped!
Answer:
Increase, increase
Explanation:
For a light bulb, voltage, resistance and current follows the Ohm's law:
where
V is the voltage
R is the resistance
I is the current
In this problem, the voltage is fixed: V=120 V. We can rewrite the equation as
(1)
we see that the current is inversely proportional to the resistance: so, if we decrease the resistance of the filament, the current will increase.
Moreover, the power dissipated by the bulb is
which can be rewritten using (1) as
We see that the power dissipated is inversely proportional to the resistance: therefore, if we decrease the resistance of the filament, the power dissipated will increase.
Answer:
(a) -1.18 m/s
(b) 0.84 m/s
Explanation:
(a)
The total linear momentum before the lumberjack begins to move is zero because all parts of the system are at res
From the law of conservation of momentum
m1v1+m2v2=0 hence m1v1=-m2v2 where m1 is mass of lumberjack, v1 is velocity of lumberjeck, m2 is mass of floating log, v2 is velocity of the floating log.
Substituting M1 for 103 Kg, V1 for 2.93 m/s, M2 for 255 Kg into the above equation we obtain
103Kg*2.93 m/s=-255Kg*V2
V2=-(103 kg*2.93 m/s)/255=-1.183490196 m/s
Hence V2=-1.18 m/s
(b)
For the second log
V(M1+M2)=m1v1 where V is the common velocity
V(103 Kg+255 Kg)=103 Kg*2.93 m/s
V=(103 Kg*2.93 m/s)/(103 Kg+255 Kg)=0.842988827 m/s
V=0.84 m/s
For circular motion.
Centripetal acceleration = mv²/r = mω²r
Where v = linear velocity, r = radius = diameter/2 = 1/2 = 0.5m
m = mass = 175g = 0.175kg.
Angular speed, ω = Angle covered / time
= 2 revolutions / 1 second
= 2 * 2π radians / 1 second
= 4π radians / second
Centripetal Acceleration = mω²r = 0.175*(4π)² * 0.5 Use a calculator
≈13.817 m/s²
The magnitude of acceleration ≈13.817 m/s² and it is directed towards the center of rotation.
Tension in the string = m*a
= 0.175*13.817
= 2.418 N
Answer:80kg/m^3
Explanation:
1L = 0.001m^3
25L= 25 *0.001 = 0.025m^3
Average density =mass/volume
Average density =2/0.025=80kg/m^3