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3 years ago

For 1983 through 1989, the per capita consumption

Physics

1 answer:

Tresset [83]3 years ago

8 0

Answer:

y = 43.55 + 2.15t

Explanation:

We were told that in 1983, the per capita consumption was 37.1 pounds, and in 1989 it was 50 pounds.

If we assume t = 0 corresponds to year 1980. Then, for 1983 it will be t = 3 and for 1989,it will be t = 9.

Thus, expressing the information as ordered pairs, we have; (3,37. 1) and (9,50).

Let us now find slope of the linear function:

m1 = (y2 - y1)/(t2 - t1)

m1 = (50 - 37.1)/(9 - 3)

m1 = 2.15

So, we can find the linear equation as;

y - 37.1 = 2.15(t - 3)

y = 37.1 + 2.15t - 6.45

y = 43.55 + 2.15t

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A charge Q accumulates on the hollow metallic dome, of radius R, of a Van de Graaff generator. A probe measures the electric fie

frez [133]

Answer:

E'=(3/16)E

Explanation:

The electric field generated by a Van de Graff generator can be taken as the electric field generated by a hollow shell (for distance out of the shell):

$E=k\frac{Q}{R^2}$

Q: electric charge

K: Coulomb's constant

R: distance in which E is measured.

If the distance is increased to R'=2R, and the charge to Q'=(4/3)Q the new electric field is:

$E'=k\frac{Q'}{R'^2}=k\frac{(3/4)Q}{(2R)^2}=\frac{3}{4}k\frac{Q}{4R^2}=\frac{3}{16}k\frac{Q}{R^2}=\frac{3}{16}E$

hence, the new electric field E' is 3/16 times the previous electric field E

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3 years ago

Read 2 more answers

A car moves at a speed of 40 miles per hour for half an hour and then at 60 miles per hour for two hours. What is the average sp

katovenus [111]

Answer:

The average speed for the entire trip is 56 miles/hour.

Explanation:

It is given that,

Initially, the car moves with a speed of, v₁ = 40 miles/hour

Initial time, t₁ = 0.5 hours

Distance covered during time t₁,

$d_1=v_1t_1$

$d_1=40\times 0.5$

$d_1=20\ miles$

Then it travels with a speed of, v₂ = 60 miles/hour

Then time taken, t₂ = 2 hours

Distance covered during time t₂,

$d_2=v_2t_2$

$d_2=60\times 2$

$d_2=120\ miles$

The average speed of the car can be calculated as :

$v=\dfrac{d_1+d_2}{t_1+t_2}$

$v=\dfrac{120+20}{0.5+2}$

v = 56 miles/hour

So, the average speed of the car for the entire trip is 56 miles/hour. Hence, this is the required solution.

7 0

4 years ago

Suppose a 49-N sled is resting on packed snow. The coefficient of kinetic friction is 0.11. If a person weighing 585 N sits on t

Andre45 [30]

Answer:

69.74 N

Explanation:

We are given that

Weight of sled=49 N

Coefficient of kinetic friction $,\mu_k=0.11$

Weight of person=585 N

Total weight==mg=49+585=634 N

We know that

Force needed to pull the sled across the snow at constant speed,F=Kinetic friction

$F=\mu_k N$

Where N= Normal=mg

$F=0.11\times 634=69.74 N$

Hence, the force is needed to pull the sled across the snow at constant speed=69.74 N

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3 years ago

The amount of heat needed

Masteriza [31]

J=joules, c=specific heat, q= energy, and the Tf and Ti are the final and initial temperatures cause I couldn't find a delta sign.

$Q=mc(T_{f}-T_{I}) \\ 33000j=2kg*c*80 \\\frac{33000j}{2kg*80} =c \\ c=206.25jkg^{-1}$

4 0

3 years ago

In electronic circuits:______.

trapecia [35]

Answer:

(a), (c) and (e) s correct.

Explanation:

a. the power used by a circuit is the resistance times the current squared.

The power is given by P = I^2 R, so the statement is correct.

b. electric and magnetic fields are transporting the energy.

false

c. electrons are transporting the energy.

The energy is transferred by flow of electrons. It is correct.

d. the power used by a circuit is the voltage times the current squared.

The power is given by P = V I, the statement is wrong.

e. the power used by a circuit is the current times the voltage.

The power is given by P = V I, the statement is correct.

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3 years ago