A body of mass 3 kg hits a wall at an angle of 60° and returns at the same angle. The impact time was 0.2 sec. The force exerted on the wall

Question

A body of mass 3 kg hits a wall at an angle of 60° and returns at the same angle. The impact time was 0.2 sec. The force exerted on the wall (A) 150√3 N (B) 50√3 N (C) 100 N (D) 75√3 N

Tardigrade Admin · Accepted Answer

Given, Normal initial velocity, v i =-10 sin 60° Normal final velocity, v f =10 sin 60° Change in momentum, Δ P = m ( v f - v i ) =3[10 sin 60°-(-10 sin 60°)] =51.96 Ns -1 Force, F =(Δ P /Δ t )=(51.96/0.2)=150 √3 N Hence, force is 150 √3 N

Q. A body of mass $3 k g$ hits a wall at an angle of $6 0^{\circ}$ and returns at the same angle. The impact time was $0.2 sec$ . The force exerted on the wall

$1503 N$

$503 N$

$100 N$

$753 N$

Q. A body of mass 3kg hits a wall at an angle of 60∘ and returns at the same angle. The impact time was 0.2sec. The force exerted on the wall

1503​N

503​N

100N

753​N

Given, Normal initial velocity, vi​=−10sin60∘ Normal final velocity, vf​=10sin60∘ Change in momentum, ΔP=m(vf​−vi​) =3[10sin60∘−(−10sin60∘)] =51.96Ns−1 Force, F=ΔtΔP​=0.251.96​=1503​N Hence, force is 1503​N

Q. A body of mass $3 k g$ hits a wall at an angle of $6 0^{\circ}$ and returns at the same angle. The impact time was $0.2 sec$ . The force exerted on the wall

$1503 N$

$503 N$

$100 N$

$753 N$