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serg [7]
3 years ago
7

Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num

ber of linebackers that would be required to be stuffed into the volume of a pea in order to obtain the same density as an alpha particle.
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be  m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is  ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

ρ= m/V

since both should be equal ρ=ρa , then

ρa= m/V =N*L/V → N =ρa*V/L

replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg  = 1.544*10⁹ Linebackers

N=1.544*10⁹ Linebackers

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Harry buys a TV priced at £1200 plus 20% VAT.
RoseWind [281]

Answer:

£ 114

Step-by-step explanation:

From the question given above, the following data were obtained:

Price of TV = £ 1200

VAT = 20%

Amount paid = £ 300

Amount paid monthly =.?

Next, we shall determine the VAT. This can be obtained as follow:

VAT = 20% of price of TV

VAT = 20/100 × 1200

VAT = £ 240

Next, we shall determine the total cost of the TV. This can be obtained as follow:

Price of TV = £ 1200

VAT = £ 240

Total cost of TV =?

Total cost = Price + VAT

Total cost = 1200 + 240

Total cost = £ 1440

Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:

Total cost = £ 1440

Amount paid = £ 300

Balance amount =?

Balance = Total cost – Amount paid

Balance = 1440 – 300

Balance = £ 1140

Finally, we shall determine the amount Harry will pay month.

Balance Amount = £ 1140

Number of months = 10

Amount paid monthly =.?

Amount paid monthly = Balance / number of month

Amount paid monthly = 1140 / 10

Amount paid monthly = £ 114

Therefore, Harry will pay £ 114 monthly.

4 0
2 years ago
1.The sum of two times a number and 8 is 10. What is the number?<br> A.1<br> B.2<br> C.18<br> D.9
Soloha48 [4]
Answer is Choice A - 1.
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4 0
3 years ago
You notice that when you study for a test more, you get better grades. What does this illustrate?
xxTIMURxx [149]

Answer:

Causation

Step-by-step explanation:

Studying better prepares you for a test, getting you better grades.

8 0
3 years ago
Carol makes a scale drawing of her school using a scale of 8cm:12m. If the length of the playground on the scale drawing is 12.4
mojhsa [17]
A scale of 8cm:12cm would be a scale of 2/3. since this is the case, we can divide the scale drawing of the playground by the scale factor to get the length of the actual playground

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3 years ago
Graph f(x) = 22 +1 and g(x) = -x +4 on the same graph
Virty [35]

Answer:

-19 = x

Step-by-step explanation:

22 + 1 = -x + 4

23 = -x + 4

- 4 - 4

________

19 = −x

-19 = x

I am joyous to assist you anytime.

7 0
3 years ago
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