Water from a house pipe of radius 5 cm strikes a wall normally at a speed of 5 ms-1. The force exerted on the wall in netwton is

Question

Water from a house pipe of radius 5 cm strikes a wall normally at a speed of 5 ms-1. The force exerted on the wall in netwton is (A) 13.5 π (B) 6.25 π (C) 62.5 π (D) 27 π

Tardigrade Admin · Accepted Answer

Given, Radius of hose pipe (r)=5 cm =5 × 10-2 m Speed of water (v)=5 ms -1 We know that, F=A v2 ρ F=π r2 v2 ρ F=π(5 × 10-2)2(5)2 × 1000 F=62.5 π

Q. Water from a house pipe of radius $5 c m$ strikes a wall normally at a speed of $5 m s^{- 1}$ . The force exerted on the wall in netwton is

$13.5 π$

$6.25 π$

$62.5 π$

$27 π$

$125 π$

Given, Radius of hose pipe $(r) = 5 c m$
$= 5 \times 1 0^{- 2} m$
Speed of water $(v) = 5 m s^{- 1}$ We know that,
$F = A v^{2} ρ$
$F = π r^{2} v^{2} ρ$
$F = π (5 \times 1 0^{- 2})^{2} (5)^{2} \times 1000$
$F = 62.5 π$

Q. Water from a house pipe of radius 5cm strikes a wall normally at a speed of 5ms−1. The force exerted on the wall in netwton is

13.5π

6.25π

62.5π

27π

125π

Given, Radius of hose pipe (r)=5cm =5×10−2m Speed of water (v)=5ms−1 We know that, F=Av2ρ F=πr2v2ρ F=π(5×10−2)2(5)2×1000 F=62.5π