Draw the vector C⃗ =A⃗ +2B⃗ .
1 answer:
Answer:
A) C is 2 units towards right
B) C is 9 units towards right and 3 units towards up
C) C is 4 units towards right and 1 unit towards down
Explanation:
Drawings are given in the attachment.
A)Since,
A is 4 units towards right,
B is 1 unit towards left,
Then,
C is 2 units towards right.
B) Since,
A is 4 units towards right and 2 units towards up,
B is 1 unit towards left,
Then,
C is 9 units towards right and 3 units towards up.
C) Since,
A is 4 units towards right and 2 units towards up,
B is 1 unit towards right, and 1 unit towards down
Then,
C is 4 units towards right and 1 unit towards down.
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The momentum increases by a factor of 2
Explanation:
We can solve this problem by rewriting the momentum of the rocket in terms of the kinetic energy and the mass.
The kinetic energy of the rocket is:
(1)
where
m is the mass
v is the velocity
The momentum of the rocket is
(2)
From eq.(1) we get
and substituting into (2),
Now in this problem we have:
- The kinetic energy of the rocket is increased by a factor 8:
- The mass is reduced by half:
Substituting, we find the new momentum:
So, the momentum increases by a factor of 2.
Learn more about momentum and kinetic energy:
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