Answer:
The angular speed of rotation is 1.34 rad/s.
Explanation:
Given that,
Length = 3.40 m
Distance = 5.90 m
Angle = 45.0°
We need to calculate the angular speed of rotation
Using balance equation
Horizontal component


Vertical component

Put the value of T


Put the value into the formula


Hence, The angular speed of rotation is 1.34 rad/s.
Answer: weight on Jupiter = 869.75 N
mass on Earth = mass on Jupiter = 35.5 Kg
Explanation:
W = mg
W = weight
m = mass
g = gravitational acceleration [ on the Earth, g₁ = 9,8 N/kg ]
On the Earth,
G₁ = m x g₁ = 347,9 N
On the Jupiter,
G₂ = mg₂
mass on the Earth = mass on the Jupiter !
m = G₁ : g = 347.9 N : 9,8 N/kg = 35.5 kg
G2 : G1 = 2.5
G₂ = 2,5 G₁ = 2,5 x 347.9 N = 869,75 N
Answer:

so gravity will be same as that of surface of earth
Explanation:
As we know that the acceleration due to gravity is given as

here we have


we know that for earth we have

now if the radius and mass is given as above



so gravity will be same as that of surface of earth
Answer:
Vf = 210 [m/s]
Av = 105 [m/s]
y = 2205 [m]
Explanation:
To solve this problem we must use the following formula of kinematics.

where:
Vf = final velocity [m/s]
Vo = initial velocity = 0 (released from the rest)
g = gravity acceleration = 10 [m/s²]
t = time = 21 [s]
Vf = 0 + (10*21)
Vf = 210 [m/s]
Note: The positive sign for the gravity acceleration means that the object is falling in the same direction of the gravity acceleration (downwards)
The average speed is defined as the sum of the final speed plus the initial speed divided by two. (the initial velocity is zero)
Av = (210 + 0)/2
Av = 105 [m/s]
To calculate the distance we must use the following equation of kinematics

44100 = 20*y
y = 2205 [m]
Answer:
The answer to this is
6600 Hz to 19,800 Hz
Explanation:
The shape of the human ear is analogous to a closed ended pipe hence
we have λ = 4L or wavelength = 4 * length of the child ear
The frequency c/λ where c = speed of sound = 343 m/s
hence the child's audible range is multiples of 343/(4*0.13) =6600Hz
or 13200 Hz or 19,800 Hz
The generally quoted range of human hearing is 20 Hz to 20 kHz