How much power is needed to accelerate an object with a mass of #4 kg# and a velocity of #3 m/s# at a rate of #6 m/s^2#?

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Answer 1 · 2016-06-19T18:43:15

#P=72" Watt"#

#P=W/(Delta t)" (definition of power)"#

#W=F*Delta x" (definition of work"#

#F=m*a" (The Newton's second law of motion)"#

#W=m*a*Delta x#

#P=(m*a*Delta x)/(Delta t)#

#(Delta x)/(Delta t)=v#

#P=m*a*v" (definition of velocity)"#

#P:"Power"#

#"m:mass of object ;(4 kg)"#

#a:"acceleration of object ;(6) "m/s^2#

#v:"velocity of object ;(3) "m/s#

#P=4*6*3#

#P=72" Watt"#