need the answer to the question with explanation
Answers
Given:
Mass of Bullet= 10g= 0.01kg
Initial velocity= 0m/s
Final velocity= 20m/s
Time taken= 10s
To Find:
- Power developed by the bullet during the time
Solution:
We know that,
- First equation of motion
⟼ v= u+at
- Force= mass × acceleration
- Power= Force × Velocity
Now,
Using first equation of motion,
⇒ 20= 0+a(10)
⇒ 10a= 20
⇒ a= 2 m/s²
Now,
Force of bullet,
⇒ F= ma
⇒ F= 0.01×2
⇒ F= 0.02N
Now,
⇒ Power= Fv
⇒ Power= 0.02×20
⇒ Power= 0.4 W
Hence, the power developed by the bullet during the time is 0.4W
0. 4 W
Explanation:
Solution : Given that
Mass of bullet(m) =10g
=10/1000 kg
=. 01 Kg
Velocity of bullet (V) =20m/s
Time taken (t) =10 s
initial velocity (u) =0m/s
As we know that v=u +at
20 =0+a ×10
20=a×10
a=20/10
a=2 m/s^2
Force produced by the bullet (F) =mass×acceleration
F=m×a
=. 01 ×2
=.02 N
Also, we know that
POWER =work done /time
P=W/t - - -( i)
Work done (W) =Force(F) ×Displacement (S)
W= F× S
Now from equation (i)
P=F×S/t
P=F × v (as V =S/t)
P=. 02×20
=. 4 W
POWER developed by the bullet. =. 4 W