If a #2 kg# object is constantly accelerated from #0m/s# to #15 m/s# over # 5 s#, how much power musy be applied at #t= 1 #?

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Answer 1 · 2016-06-19T15:08:06

#18W#

Given

#m->"mass of the object"=2kg#

#"At "t=0 ->"velocity"=0m/s#

#"At "t=5s->"velocity"=15m/s#

#"And constant acceleration"#
#a = (15-0)/5=3ms^-2#

#"So the constant force "#
#F=mxxa=2xx3=6N#
If the velocity at t th instant be v then #v= at#

Now power at t th instant is

#P(t)=Fxxv=Fxxaxxt=6xx3xxt=18tW#

At t =1s Power

#P(t=1)=18xx1W=18W#