Answer:
Step-by-step explanation:
Using the area model and standard algorithm, we have:
332 (tenths)
<u> × 21 </u>
332
<u> 664 </u>
<u> 6972 </u> tenths = 697.2
<u />
30 + 3 tenths
1 300 32 332
20 600 64 664
33.2 × 21 =<u> 30 </u> × <u> 1 </u> = <u> 30 </u>
Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble
= 12.3 gm
Velocity of
before collision
= 15.5 cm/s
Velocity of
after collision
= 77.5 cm/s
Marble 2:
Mass of the marble
= 24.6 gm
Velocity of
before collision
= 62 cm/s
Velocity of
after collision
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒ 
⇒
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
⇒
...subtracting both sides 953.25
⇒ 
⇒
...dividing both sides with 24.6
⇒ 
⇒
cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.
Answer:
7.21
Step-by-step explanation:
Given that:
P1=(-1,3) and P2=(5,-1)
Distance between two points :
d = Sqrt[(x2 - x1)² + (y2 - y1)²]
x1 = - 1 ; y1 = 3
x2 = 5 ; y2 = - 1
d = Sqrt[(5 - (-1))² + ((-1) - 3)²]
d = Sqrt[(5 + 1)² + (-1 - 3)²]
d = sqrt[(6)^2 + (-4)^2]
d = sqrt(36 + 16)
d = sqrt(52)
d = 7.21