# Power

Power, a concept as pervasive as it is enigmatic, permeates every facet of human interaction and society. From the dynamics of interpersonal relationships to the structures of political governance, power manifests in various forms and shapes, wielding influence and shaping outcomes. Defined by the ability to assert control, command obedience, or effect change, power embodies both potential and potency. Its study spans disciplines, from political science to sociology, psychology to economics, each offering unique perspectives on its nature, distribution, and consequences. Delving into the intricacies of power unveils a complex tapestry of dynamics, aspirations, and tensions that define human existence.

- How are force and power related?
- If a #12 kg# object is constantly accelerated from #0m/s# to #60 m/s# over 8 s, how much power musy be applied at #t=3#?
- How does power differ from energy?
- A 1000-watt microwave oven takes 60 seconds to heat a bowl of soup. How many joules of energy does it use?
- If a rocket with a mass of #2500# tons vertically accelerates at a rate of # 2 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 3 seconds?
- If a rocket with a mass of #900 kg# vertically accelerates at a rate of # 2 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 4 seconds?
- If a rocket with a mass of 4000 tons vertically accelerates at a rate of # 4/7 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 8 seconds?
- If a rocket with a mass of #3500 tons # vertically accelerates at a rate of # 9/2 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 15 seconds?
- If a rocket with a mass of #7 kg# vertically accelerates at a rate of # 3/2 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 6 seconds?
- If a #2 kg# object is being constantly accelerated from #0m/s# to #15 m/s# over # 6s#, how much power is being applied at #t= 2 #?
- An object with a mass of #4 kg# is moving at #7 m/s# over a surface with a kinetic friction coefficient of #3 #. How much power will it take to accelerate the object at #5 m/s^2?
- If a #12 kg# object is constantly accelerated from #0m/s# to #60 m/s# over 8 s, how much power musy be applied at #t=1 #?
- If a rocket with a mass of 4000 tons vertically accelerates at a rate of # 4/7 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 4 seconds?
- If a rocket with a mass of 3500 tons vertically accelerates at a rate of # 3/5 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 12 seconds?
- If a rocket with a mass of #2500 tons # vertically accelerates at a rate of # 7/3 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 24 seconds?
- How much power is needed to accelerate an object with a mass of #6 kg# and a velocity of #3 m/s# at a rate of #7 m/s^2#?
- An object with a mass of #8 kg# is moving at #7 m/s# over a surface with a kinetic friction coefficient of #6 #. How much power will it take to accelerate the object at #8 m/s^2?
- A wagon is pulled at a speed of 0.40 meters/sec by a horse exerting an 1,800-newton horizontal force. What is the power of this horse?
- If a rocket with a mass of 3900 tons vertically accelerates at a rate of # 7/9 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 5 seconds?
- If a rocket with a mass of #8000 " tons" # vertically accelerates at a rate of # 4 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 3 seconds?