Question

A horse exerts a force of 500N in pulling a cart at a speed of 15 m/s.The power spent by horse is * 7500 W 750W 33.33W 33.3W​

Answer 1

Provided that:

• Force = 500 Newton
• Speed = 15 mps

To calculate:

• The power

Solution:

• The power = 7500W

Using concept:

• Power formula

Using formula:

• ${\small{\underline{\boxed{\pmb{\sf{P \: = F \times v}}}}}}$

Where, P denotes power, F denotes force and v denotes speed.

How this formula derived!?

$:\implies \sf Power \: = \dfrac{Work \: done}{Time} \\ \\ :\implies \sf Power \: = \dfrac{Force \times displacement}{Time} \\ \\ :\implies \sf Power \: = Force \times Velocity \\ \\ {\pmb{\sf{Henceforth, \: derived!}}}$

Required solution:

»»» Power = force × speed

»»» P = Fv

»»» P = 500 × 15

»»» P = 7500 Watts

»»» Power = 7500 Watts

• Therefore, the power spent by horse is 7500 W. Henceforth, option (a) is correct.

Know more:

$\begin{gathered}\boxed{\begin{array}{c}\\ {\pmb{\sf{Some \: formulas!}}} \\ \\ \sf \star \: Power \: = \dfrac{Work \: done}{Time} \\ \\ \sf \star \: Time \: = \dfrac{Work \: done}{Power} \\ \\ \sf \star \: Power \times Time = Work \: done \end{array}}\end{gathered}$

Answer 2

Answer:

Force = 500 Newton

Speed = 15 mps

To calculate:

The power

Solution:

The power = 7500W

Using concept:

Power formula

Using formula:

{\small{\underline{\boxed{\pmb{\sf{P \: = F \times v}}}}}}P=F×vP=F×v

Where, P denotes power, F denotes force and v denotes speed.

How this formula derived!?

\begin{gathered}:\implies \sf Power \: = \dfrac{Work \: done}{Time} \\ \\ :\implies \sf Power \: = \dfrac{Force \times displacement}{Time} \\ \\ :\implies \sf Power \: = Force \times Velocity \\ \\ {\pmb{\sf{Henceforth, \: derived!}}}\end{gathered}:⟹Power=TimeWorkdone:⟹Power=TimeForce×displacement:⟹Power=Force×VelocityHenceforth,derived!Henceforth,derived!

Required solution:

»»» Power = force × speed

»»» P = Fv

»»» P = 500 × 15

»»» P = 7500 Watts

»»» Power = 7500 Watts

Therefore, the power spent byhorse is 7500 W. Henceforth,option (a) is correct.

Know more:

\begin{gathered}\begin{gathered}\boxed{\begin{array}{c}\\ {\pmb{\sf{Some \: formulas!}}} \\ \\ \sf \star \: Power \: = \dfrac{Work \: done}{Time} \\ \\ \sf \star \: Time \: = \dfrac{Work \: done}{Power} \\ \\ \sf \star \: Power \times Time = Work \: done \end{array}}\end{gathered}\end{gathered}Someformulas!Someformulas!⋆Power=TimeWorkdone⋆Time=PowerWorkdone⋆Power×Time=Workdone