To calculate the rate, first convert units properly. Since 1 kilogram equals 1,000,000 micrograms, 1.6 kilograms is 1,600,000 micrograms. One week has 604,800 seconds. Therefore, dividing 1,600,000 micrograms by 604,800 seconds gives the rate. Simplifying, this results in 2.65 µg/s. I hope this answers your question.
Answer:
If the net force acting on an object doubles, its acceleration also doubles. Conversely, if the mass is doubled, the acceleration will be halved. If both the net force and mass are doubled, the acceleration remains the same.
Explanation:
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a) Average power: 1425 W
b) Instantaneous power at 3.0 seconds: 2850 W
Given that the object moves along the ramp with uniform acceleration due to a constant force, we can apply the suvat equation:
s = 18 m (the distance covered along the ramp)
u = 0 (initial speed)
t = 3.0 s (time taken)
a is the acceleration of the object along the ramp
Calculating the acceleration 'a' using this data,
Next, we use Newton's second law to determine the net force acting on the object:
This net force consists of the applied force acting forward and the backward component of weight, allowing us to calculate the applied force.
m = 24 kg (mass of the object)
Now, we can compute the work done by the applied force, which runs parallel to the ramp:
s = 18 m (displacement)
The average power required is thus determined.
b) The instantaneous power at any point during the motion can be calculated using:
where F is the force applied and v is the object's velocity.
With the previously calculated applied force, as this is uniformly accelerated motion, we can also find the velocity at the end of the 3.0 seconds using the suvat equation:
A cheetah is capable of running at 30 m/s, but only for a duration of about 12s. Therefore, it will cover a distance of 12x30=360 miles during that time.
