Answer: 52%
Explanation:
1W = 1 J/s
motor input is 10000 J/s
Potential energy change
PE = 955(9.81)(25.0) = 234,213.75
power needed to change the PE in that time
P = 234,213.75/ 45 = 5,204.75 Watts
motor is 5204.75 / 10000 = 0.520475 or 52% efficient
Answer:
The star is moving toward us
Explanation:
The wavelength of a distant object changes due to the change in the distance between the observer and the object. This is known as the Doppler effect.
If the wavelength decreases this means that the wavelength in going towards blue which is shorter wavelength. This is known as blue shift. If blue shift occurs then it means that the object is coming closer to the observer.
Hence, the star described here has blue shifted and is moving closer to us.
The work done to accelerate the acrobat is given by

where F is the force applied and d the distance of application of the force.
If the barrel is 3.05 m long, then d=3.05 m. Therefore we can find the force:
Atmospheric pressure is caused by the weight of the air above you. It seems silly , but you have to rememeber that the air is full of molecules of different elements ( nitrogen , oxygen , CO2 , etc ... ) and the have atomic weight.
Thats why there is less pressure on top of you when you are at greater altitudes , there is less air above you.
Hope it helps !
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