A : 10000 J
B: 625 J
C: 2500 J
Step-by-step explanation:
Step 1:
We know that ,
Kinetic Energy is given by ((1/2) × m × V²) J
where m = Mass of substance
V = Velocity
Step 2:
In first case, m= 50 kg, V=20 m/s
Kinetic energy = 0.5 × 50 × 20 ×20
= 10000 J
In second case, m= 50 kg, V=20 m/s
Kinetic energy = 0.5 × 50 × 5 ×5
= 625 J
In Third case, m= 50 kg, V=10 m/s
Kinetic energy = 0.5 × 50 × 10 ×10
= 2500 J
Answer:
x = 270 gallons
270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze
Step-by-step explanation:
Let x represent the number of gallons of the 50% antifreeze solution.
The volume of the 10% antifreeze is = 90 gallons
The volume of the mixture that is 40% antifreeze = 90+x
The amount of antifreeze in the two solutions must be equal to the amount of anti freeze in the mixture;
50% of x + 10% of 90 = 40% of (90+x)
0.50(x) + 0.10(90) = 0.40(90+x)
0.50x + 9 = 36 + 0.40x
Collecting the like terms;
0.50x - 0.40x = 36-9
0.10x = 27
x = 27/0.10
x = 270 gallons
270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze
Answer:
It is 8,7
Hope this helps!
Step-by-step explanation:
