Please also this:A girl carries her luggage of mass 75kg through a distance of 25metres in 10seconds. Calculate; Work done Energy power
Answers
Answer:
Work done = 1875 joules
Energy will be same as work.
Power = work done / time = 1875/10 = 187.5 watt
Explanation:
Answer:
1. Work done = 468.75 J.
2. Energy and Work done is the same, their SI Unit is Joule (Newton.metre {N.m})
3. Power = 46.875 Watt.
Explanation:
In our question we are given value of distance 25 metre, mass 75kg and time 10s.
Keep in mind Energy and Work done are the same, measured both in Joule or Nm (newton × metre)
To find out Power, measured in Watt or J/s first we need to know the value of Work Done.
Formula of work done is mass × acceleration. Here we need to find acceleration since it is not in our given information.
Acceleration (a) is the rate of change (time taken) of speed/velocity of an object .
a=v÷t, here we still need to find velocity which is the rate of distance travelled by an object.
v= d÷t.
There, we can easily know velocity since we are given values of distance 25 m and time taken 10 seconds.
So, v = 25÷10 (m/s) = 2.5 m/s
In knowing the value of Velocity (v) we can get acceleration.
So, a = v÷t as we know,
a = 2.5 ÷ 10 (m/s²)
a= 0.25 m/s²
Now we can find out how much force has been acquired.
Knowing f= m×a
f= 75 × 0.25 (kgm/s²)
f = 18.75 kgm/s² or N.
After knowing all the essential values to find out work done in by a little girl, we can get
w = f×d
w = 18.75 × 25 (Nm or J)
w = 468.75 J
Now, we have to know that Power is the rate of change of work done measured in Watt.
We can get it by
p = wd/t
p = 468.75 ÷ 10 J/s or Watt.
p = 46.875 Watt.