Answer:
Part a)

Part b)

Explanation:
As we know that it makes half revolution in given time interval
so we have



now the angular speed is given as



now linear speed is given as


now we have



Now centripetal acceleration is given as



Part b)
Average acceleration of the cat is given as




Answer:
the real answer is current
Explanation:
i took the test
Answer:
Total time elapsed between the start and when he returns with the ball is 7.5s
Explanation:
From the question,
- The dog starts at the origin and runs forward at 6m/s for 1.5s. First, we will determine the distance covered while running forward.
From
Speed = Distance / Time
Distance = Speed × Time
Speed = 6m/s
Time = 1.5s
∴ Distance = 6m/s × 1.5s
Distance = 9m
That is, the dog covered a distance of 9m while running forward.
- The dog turns around and runs backward at 7m/s for 3s. Now, we will also determine the distance the dog covered backwards.
Distance = Speed × Time
Speed = 7m/s
Time = 3s
Distance = 7m/s × 3s
Distance = 21m
The dog's displacement from the origin is 21m - 9m = 12m
Now, to calculate how much time has elapsed between the start if the dog runs back to the origin at 4m/s, we will first determine the time the dog spent back to the origin and then add to the time spent for the first two distances.
To get back to the origin, the dog needs to cover 12m
From
Speed = Distance / Time
Time = Distance / Speed
Distance = 12m
Speed = 4m/s
∴ Time = (12m) / (4m/s)
Time = 3s
Therefore, the dog spent 3s to run back to the origin.
Hence, total time elapsed = 1.5s + 3s + 3s
Total time elapsed = 7.5s
If the radius of the cylinder is halved and length is kept unchanged then the density of air inside the cylinder will increase.
As it can be said that density is inversely proportion to the square of the radius.
Density of Cylinder
Density is the ratio of mass to volume.
The formula for density is: ρ= m/v.
The formula for the Mean Density of a cylinder is:
ρ= m/ (π•r²•h)
where:
ρ is the density of the cylinder
m is the mass of the cylinder
h is the height of the cylinder
So, with increase in radius the of the cylinder there is decrease in the density of cylinder.
And on decreasing the radius of the cylinder there is increase in the density of the cylinder.
As it can be said that density is inversely proportion to the square of the radius.
To learn more about Density Of Cylinder
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