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
Using order of operations, the answer is 569.
Answer:
(a). Function 1
(b) Function 2
(c) Function 1,2 and 4
Step-by-step explanation:
Find the equation for all functions;
function 1: y= 2x+1
function 2: y= -2x+3
function 3: y= 5x-2
function 4: y= -4x-4
for answer of (a) y= mx+c
c is intercept. so function 1 has closest intercept to 0
for (b) the greatest y intercept is function 2
for(c) slope is m: we have function 1, 2 and 4
