Correct Answer - Option 1 : Y spends more power than X
Concept:
Power: Power is work done per unit time.
\(Power = \frac{ Work }{Time}\)
work done by the force is a product of force acted on body and displacement.
work = force x displacement
force = mass x gravitational acceleration
Calculation:
- X and Y climbed the same hill therefore displacement is the same for both.
- Their weight is also the same.
- therefore work done by X and Y is the same.
The time taken by X and Y to climb the hill is 10 and 7 minutes respectively.
Let, PX and PY are power spent by X and Y respectively.
PX = W / 10
PY = W / 7
As denominator of PX is bigger compared to PY.
PX < PY
This explains Y spends more power than X.
PHYSICAL QUANTITY |
SYMBOL |
UNITS |
DIMENSIONS |
POWER |
P |
W |
[L2 M T-3]
|
WORK |
W |
J |
[L2 M T-2]
|
FORCE |
F |
N |
[L M T-2]
|