First let's find the time it takes for the first ball to land:
Acceleration is a=-g so vertical velocity is V=-gt + V1sin(30).
Position is thus
S=(-1/2)gt^2 +V1t sin(30).
Solving for t gives
t=2V1sin(30)/g
The second ball has the same position function except for the new velocity, which is given by
V2=2V1. Putting this in and solving for t2 gives
t2=4V1sin(30)/g.
It takes twice as long for the second ball to land on the ground.
The horizontal distance of ball 1 is S1 = V1t cos(30). Again we look at ball 2's distance by substituting V2=2V1 and get
S2 = 2V1t2 cos(30).
Note here I put in t2 since it will fly for that amount of time. But we already saw that
t2 = 2t1
So S2=4V1 cos(30)
That is the second ball goes 4 times further than the first one. This is because it is going twice as fast along both the horizontal and the vertical. It moves horizontally twice as fast for twice as long.
Answer:
A. N = L/πD
B. N = 389 turns
C. L₂ = DN
D. L₂ = 17.5 m
E. B = 2.3 x 10⁻⁴ Web
Explanation:
A.
For each number of turn a length of wire equal to the circumference of tube. Therefore, the no. of turns can be given as:
N = L/2πr
<u>N = L/πD</u>
where,
N = No. of turns
D = Diameter of tube
L = Length of wire
B.
using values in the equation, we get:
N = 55 m/π(0.045 m)
<u>N = 389 turns</u>
C.
Since, there is only one layer of loop. Therefore, the length of solenoid can be easily found out by adding the diameter of wire for each turn. Hence:
L₂ = DN
where,
L₂ = Length of the solenoid
D = diameter of wire
N = No. of Turns
D.
using values in the equation we get:
L₂ = (0.045 m)(389)
<u>L₂ = 17.5 m</u>
<u></u>
E.
The magnitude of magnetic field inside solenoid is given by the formula:
B = μ₀NI/L₂
where,
B = Magnetic field inside solenoid
μ₀ = permeability = 4π x 10⁻⁷ T/A.m
I = current = 8.5 A
Therefore,
B = (4π x 10⁻⁷ T/A.m)(389)(8.5 A)/17.5 m)
<u>B = 2.3 x 10⁻⁴ Web</u>
Answer:
a
b
Explanation:
From the question we are told that
The mass of the rock is
The length of the small object from the rock is
The length of the small object from the branch
An image representing this lever set-up is shown on the first uploaded image
Here the small object acts as a fulcrum
The force exerted by the weight of the rock is mathematically evaluated as
substituting values
So at equilibrium the sum of the moment about the fulcrum is mathematically represented as
Here is very small so
and
Hence
=>
substituting values
The mechanical advantage is mathematically evaluated as
substituting values
Answer:
1. Belize has a high birth rate and a low death rate.
2. Belize will have a rapidly growing population over the next twenty years.
Explanation:
Belize has a high birth rate and a low death rate. Belize is in the phase II of the demographic transition model. Their population is growing exponentially. This is due to lowering death rates while the birth rates are still high.
Belize will have a rapidly growing population over the next twenty years. When the age structure diagram has a wider base than the middle or top age groups, this indicates a population that is rapidly growing. Belize is early in the transition model and still has high birth rates. Countries like Belize typically have lower opportunities for education for women of reproductive age, can have high infant mortality, and can have high emigration rates.
Potential energy due to gravity = Ep = mgh [symbols have their usual meaning
Evidently, HALVING the mass will make Ep , HALF its previous value. So, It will be halved.