Question

a vehicle needs an engine of 7500w to keep it on moving with constant velocity of 20m/s on a horizontal surface. what is the force required for the motion?​

Answer 1

$\sf{\huge{\bold{\underline{Given:}}}}$

A vehicle needs an engine of 7500w to keep it on moving with constant velocity of 20m/s on a horizontal surface.

• Power = 7500 W
• Velocity = 20 m/s

$\sf{\huge{\bold{\underline{Find:}}}}$

Force required for the motion.

$\sf{\huge{\bold{\underline{Explanation:}}}}$

Power :

Rate of doing work is known as power.

$\boxed{\sf{Power\:=\:\dfrac{work\:done}{time}}}$

Work done :

Work done is defined as amount of energy transferred.

$\sf{P\:=\:\dfrac{work\:done}{time}}$

$\therefore$ $\boxed{\sf{work\:done\:=\:force\:\times\:displacement}}$

• Force = F
• displacement = s
• time = t

⇝ $\sf{P\:=\:\dfrac{F\:\times\:s}{t}}$

⇝ $\sf{P\:=\:F\:\times\:v}$

( As, velocity (v) = change in displacement with respect to time )

Substitute the known values in above formula. To find the value of force (F).

⇝ $\sf{7500\:=\:F\:\times\:20}$

⇝ $\sf{\dfrac{7500}{20}\:=\:F}$

⇝ $\sf{\dfrac{750}{2}\:=\:F}$

⇝ $\sf{375\:=\:F}$

⇝ $\sf{F\:=\:375\:N}$

•°• Force required for the motion is 375 N.

$\rule{200}2$

Answer 2

Solution:

Given:

➜ A vehicle needs an engine of 7500w to keep it on moving with constant velocity of 20m/s on a horizontal surface.

Find:

What is the force required for the motion?

According to given question:

➜ 7500 = Power

➜ 20m/s = Velocity.

Formula:

➜ Power = Work done/Time.

➜ Work done = Force × Displacement.

Know Terms:

➜ Force => F

➜ Displacement => s

➜ Time => t

➜ Velocity => V

Calculations:

➜ P = F × S/t

➜ P = F × V

Add the values to above formula, to find force:

➜ 7500 = F × 20

➜ 7500/200 = F

➜ 750/2 = F

➜ 375 = F

➜ F = 375 N

Therefore, the force required for the motion is 375 N.

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