Wind, hydropower, and solar can all be used to make ___
2 answers:
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The final momentum is 20.00 kg*m/s
Explanation:
The momentum of an object is given by:
where
m is the mass of the object
v is its velocity
For the object in the problem, the initial momentum is
Then, the mass is doubled:
m' = 2m
And the velocity is also doubled:
v' = 2v
So, the new momentum will be:
So, the final momentum is 4 times the initial momentum.
Learn more about momentum:
#LearnwithBrainly
Answer:
a) See attachment.
b) a_avg = -8.66 i - 2.33 j
c) a = 195 degrees from + x-axis. |a_avg| = 8.97 m/s^2
Explanation:
Given:
- Initial Velocity V_i = (90 i + 110 j)
- Final velocity V_f = (-170 i + 40 j)
- t_i = 0
- t_f = 30.0 s
Find:
(a) Sketch the velocity vectors at t1 and t2. How do these two vectors differ?
(b) the components of the average acceleration
(c) the magnitude and direction of the average acceleration.
Solution:
- The change in velocity is given by:
Δ V = (V_f - V_i)
Δ V = ( -170 i - 90 i + 40 j - 110 j)
Δ V = (-260 i - 70 j)
- The change in time is given as:
Δ t = t_f - t_i = 30 - 0 = 30 s
-The average acceleration is:
a_avg = Δ V / Δ t
a_avg = (-260 i - 70 j) / 30
a_avg = -8.66 i - 2.33 j
- The magnitude of acceleration is:
|a_avg| = sqrt ( 8.66^2 + 2.33^2)
|a_avg| = sqrt (80.4245)
|a_avg| = 8.97 m/s^2
- The direction of acceleration is given by:
tan (Q) = a_y / a_x
Q = arctan(a_y / a_x)
Q = arctan(2.33 / 8.66)
Q = 15 degrees
Hence, 180 + 15 = a. a = 195 degrees from + x-axis.
