Answer:
T = T
Explanation:
The period of a simple pendulum is given by the formula
Where
l - length of the pendulum
g - acceleration due to gravity
The dimension of the physical quantities are given by,
t - T
l - L
g - m/s² - LT⁻²
Substituting in the above equation,
T = 2π √(L / LT⁻²)
Considering only the dimensional units in the equation
T = √(L / LT⁻²)
T = T
This shows that the formula for a simple pendulum is dimensionally consistent, T = T
Answers:
a)The balloon is 68 m away of the radar station
b) The direction of the balloon is towards the radar station
Explanation:
We can solve this problem with the Doppler shift equation:
(1)
Where:
is the actual frequency of the sound wave
is the "observed" frequency
is the velocity of sound
is the velocity of the observer, which is stationary
is the velocity of the source, which is the balloon
Isolating :
(2)
(3)
(4) This is the velocity of the balloon, note the negative sign indicates the direction of motion of the balloon: It is moving towards the radar station.
Now that we have the velocity of the balloon (hence its speed, the positive value) and the time () given as data, we can find the distance:
(5)
(6)
Finally:
(8) This is the distance of the balloon from the radar station
Answer:
The mass of the feather would be 0.0075 kg.
Explanation:
If the feather were to be on earth, it would have experienced the gravitational pull of the earth downwards. So that from Newton's second law of motion,
F = mg
where f is the force on the object, m is the mass of the object and g is the acceleration due to gravity of the earth.
But, F = 0.075 N, g = 10 m/.
So that,
0.075 = m x 10
m =
= 0.0075 kg
The mass of the feather would be 0.0075 kg.
<span>An endothermic reaction takes heat from it's environment. When you increase the temperature of the environment in which the endothermic reaction is taking place, the forward reaction will be favored and more products will form. The answer is B.</span>
Answer:
43850.49112 kg
Explanation:
M = Mass of moon =
r = Distance from Moon's center =
G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²
m = Mass of black hole
F = Force = 7870 N
From the universal force of gravity we have
The mass of the mini black hole is 43850.49112 kg