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2 years ago

Use V=Voe^-t/RC and T=RC to derive T1/2=Tln2

Physics

1 answer:

Ksju [112]2 years ago

3 0

Enclosed is some guidance algebra.I find this q a little confusing. It quotes "RC" which usually makes me think of electrical circuits and time constants based on converting calculating RC value and equating that to t for one time constant then 2RC for two time constants etc. The theory being that after 5 time constants - 5RC - a circuit is stable. BUT, this q then goes on to mention HALF LIFE. The curves for both half life and time constant are both exponential, as in the number e to the power of something, but the algebra is slightly different. I hope my algebra is ok.

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A student's room has a TV (250 W) ,heater (1150 W) and lamp (200 W) Electricity costs 10 fills per KWh. Calculate how much it wo

Yuki888 [10]

Answer:

Cost = 40 fills

Explanation:

First, we will calculate the total power consumed by all appliances:

$Power = P_{TV}+P_{heater}+P_{lamp}\\Power = 250\ W+1150\ W+200\ W\\Power = 1600\ W = 1.6\ KW$

Now, we will calculate the energy required:

$Energy = (Power)(Time)\\Energy = (1.6\ KW)(2.5 h)\\Energy = 4 KWh\\$

Now, for the cost we use the following formula:

$Cost = (Energy)(Unit\ Cost)\\Cost = (4\ KWh)(10\ fills/KWh)\\$

Cost = 40 fills

6 0

2 years ago

A 98-kg fullback, running at 5.0 m/s, attempts to dive directly across the goal line for a touchdown. Just as he reaches the lin

Troyanec [42]

Answer:

(a) Explained below

(b) $v_f=0.35\ m/s$

Explanation:

Law Of Conservation Of Linear Momentum

The total linear momentum of a system of particles or objects is conserved unless an external force is acting on the system. The formula for the momentum of a body with mass m and velocity v is P=mv. If there is a system of bodies, then the total linear momentum is the sum of the individual momentums

$P=m_1v_1+m_2v_2+...+m_nv_n$

When objects collide and join together, the only final mass is the sum of all masses, all traveling at the same speed.

Our $m_1=98\ kg$ fullback runs at $v_1=5\ m/s$ . Two two 68-kg linebackers attempt to stop him, one at -2.0 m/s and the other at -4.0 m/s. The negative value is because the run against the positive direction, taken in the direction of the fullback.

(a) Before the event, there is a total linear momentum, computed as the sum of the momentums of each player as shown

$p_1=m_1v_1=(98)(5)=490 Kg\ m/s$

$p_2=m_2v_2=(68)(-4)=-272 kg\ m/s$

$p_3=m_3v_3=(68)(-2)=-136 kg\ m/s$

$p_t=p_1+p_2+p_3=390-272-136=82\ kg\ m/s$

After the collision, all the players keep joined in one single mass of.

$m_t=98+68+68=234\ kg$

They will move at a speed which will be computed below

(b) The final momentum of the system is

$p_f=m_tv_f=82\ kg\ m/s$

Since the linear momentum is conserved, the final speed $v_f$ is common to all of the players. Let's solve to find it

$\displaystyle v_f=\frac{p_f}{m_t}$

$\displaystyle v_f=\frac{82}{234}$

$v_f=0.35\ m/s$

(c) Since the final speed of the players is positive, it means the touchdown was actually scored, the fullback moved forward across the goal line, the positive reference.

5 0

2 years ago

With what maximum precision can its position be ascertained? [hint: ?p=m?v.]

Nana76 [90]

The formula for the momentum is
p = mv
As a consequence of the conservation of energy, there is also the law of conservation of momentum.
So,
Δp = Δmv = mΔv
The maximum precision that the position can be ascertained is less than 100% because of dissipation.

5 0

2 years ago

Sports managers have the potential to earn more than a million dollars per year. True false

andriy [413]

Answer:

true

Explanation:

hope this helped!

4 0

2 years ago

When a wheel is rotated through an angle of 21◦ , a point on the circumference travels through an arc length of 2.1 m. When the

LiRa [457]