Answer:
V2=-20.0155m/s
Step-by-step explanation:
To answer this question we will use the principle of conservation of momentum which is
MtVt=M1V1+M2V2
1) let's find the initial velocity.
We will use,
v=a*t
v=10m/s2*2s = 20 m/s
d=vot+1/2*a*t2
d=0+1/2*10*4
d=20m
2) For the speed of the lighter piece we use,
v22=v12+2ad
0=v12+2*-9.81*(530-20)
v12=10006.2
v1=100.031m/s
3) Computing this in our conservation of momentum equation it will be-
MtVt=M1V1+M2V2
1500kg*20m/s=(1500*1/3)kg*100.031m/s + (1500*2/3)+V2
30000=50015.5+1000V2
Therefore V2=-20.0155m/s.
Answer:
Step-by-step explanation:
We have the geometric sequence:
2, 6, 18, 54 ...
And we want to find S8, or the sum of the first eight terms.
The sum of a geometric series is given by:
Where <em>n</em> is the number of terms, <em>a</em> is the first term, and <em>r</em> is the common ratio.
From our sequence, we can see that the first term <em>a</em> is 2.
The common ratio is 3 as each subsequent term is thrice the previous term.
And the number of terms <em>n</em> is 8.
Substitute:
And evaluate. Hence:
The sum of the first eight terms is 6560.
Answer: a
Step-by-step explanation: can i have brainliest