The final velocity after the collision is 8.2 m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in fact, if we consider the system to be isolated (=no external unbalanced forces), the total momentum of the raindrop+mosquito must be conserved before and after the collision.
If the collision is perfectly inelastic, moreover, the raindrop and the mosquito stick together and travel at the same velocity v after the collision.
Mathematically:
where:
is the mass of the first mosquito
is the initial velocity of the mosquito
is the mass of the raindrop
is the initial velocity of the raindrop
is the final combined velocity of the raindrop+mosquito
Re-arranging the equation and substituting, we find:
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Answer:
Answer:
Debt payments to income ratio = 22.74%
Explanation:
Debts payment to Income ratio is calculated as follows:
= \frac{Total\ debt\ payment}{Total\ Income}
Total Income
Total debt payment
We have total debts payment = auto loan payment 685 + student loan payment685+studentloanpayment375 + credit card payment 125 =125=1,185
Total Income = $5,210
Note: Credit card is also a kind of debt as firstly all the expenses are met during the period and then the payment is made at the end of the period, therefore, there is a loan in the period. Therefore, it will be considered for payment of debt.
Debt payments to income ratio = \frac{1,185}{5,210} = 22.74
5,210
1,185
=22.74
That means the debts are 22.74% of income.
Answer:
Electronegativity is a chemical property at the top of the periodic table
Explanation:
electronegativity is a chemical property that measures the ability of an atom to attract a bonding pair of electrons when it is part of a compound
it's a property of atom that increases as you go to the right and up.
One example is the Pauling scale. it is a numerical scale of electronegativities. It was first developed by Linus Pauling.
it is commonly used to calculate the ability of electronegativity to attract electrons to itself.
The most common electronegative element is Flourine, having an assigned value of 4.0, ranging down to caesium and francium, having the least electronegative at 0.7
Answer:
The magnetic field will be 
, '2d' being the distance the wires.
Explanation:
From Biot-Savart's law, the magnetic field (
) at a distance '
' due to a current carrying conductor carrying current '
' is given by
where '
' is an elemental length along the direction of the current flow through the conductor.
Using this law, the magnetic field due to straight current carrying conductor having current '', at a distance '
' is given by
According to the figure if '
' be the current carried by the top wire, '
' be the current carried by the bottom wire and '
' be the distance between them, then the direction of the magnetic field at 'P', which is midway between them, will be perpendicular towards the plane of the screen, shown by the 
symbol and that due to the bottom wire at 'P' will be perpendicular away from the plane of the screen, shown by 
symbol.
Given 
and 
Therefore, the magnetic field (
) at 'P' due to the top wire
and the magnetic field (
) at 'P' due to the bottom wire
Therefore taking the value of 
the net magnetic field (
) at the midway between the wires will be
Answer:
Magnitude of Vector = 79.3
Explanation:
When a vector is resolved into its rectangular components, it forms two vector components. These components are named as x-component and y-component, they are calculated by the following formulae:
x-component of vector = (Magnitude of Vector)(Cos θ)
y-component of vector = (Magnitude of Vector)(Sin θ)
where,
θ = angle of the vector with x-axis = 27°
Therefore, using the values in the equation of y-component, we get:
36 = (Magnitude of Vector)(Sin 27°)
Magnitude of Vector = 36/Sin 27°
<u>Magnitude of Vector = 79.3</u>
