Answer:
a) -5.40 rad/s
b) -2.842 rad/s²
Explanation:
The direction is important in dealing with such questions. Clockwise is considered negative and counterclockwise is considered positive
a) Δω = final angular velocity - initial angular velocity
= -2.70 rad/s - 2.70 rad/s
= -5.40 rad/s
b) ∝ = Δω/Δt = (-5.40 rad/s)/1.90s = -2.842 rad/s²
Answer:
Explanation:
For fundamental frequency in a vibrating string , the formula is
n = 1 / 2L x √ ( T /m₁ )
n is frequency , L is length , T is tension and m₁ is mass per unit length .
For first string ,
293 = 1 / 2L x √ ( 49 N /m₁ )
For second string , let mass per unit length be m₂ .
196 = 1 / 2L x √ ( 49 N /m₂ ) ------ ( 1 )
To bring its frequency back to previous one let tension be T
293 = 1 / 2L x √ ( T /m₂ ) ------- ( 2 )
Dividing
293 / 196 = √ ( T /49 )
1.4948 = √ ( T /49 )
2.2344 = T /49
T = 109.48 N .
Don't over think it!
For example, if you do 5 laps in 5 minutes then you do one lap per minute. If you use that example and you apply it to your problem you'll notice that the answer is simply C. 1km/min.
Best wishes!
Answer:
10.2 km
Explanation:
Displacement is the shortest distance from your original position after movement.
Now, the Zambeef delivery truck moves 18 km north and then 10 km east and then 16 km south.
This means that vertically the truck is 2km short of the 18 km he travelled north..
So we can find the displacement using pythagoras theorem..
Let d be the distance from the current position to the initial position.
Thus;
d² = 2² + 10²
d² = 4 + 100
d = √104
d ≈ 10.2 km
I have attached a diagram showing the direction of this displacement
Answer:
D.) Heat the jar in a microwave oven.
Explanation: