Question

18. 10 Nforce is acting on a body of mass 2 kg for 2 sec.
Find the change in linear momentum of the body.
(A) 40 kg m/s
(B) 20 kg mis
(C) 10 kg m/s
(D) 10 Ns​

Answer 1

$\red{\bigstar}\underline{\underline{\textsf{\textbf{ Given :- }}}}$

• A 10N force is acting on a body of mass 2kg .
• It acts for 2 seconds .

$\red{\bigstar}\underline{\underline{\textsf{\textbf{ To Find :- }}}}$

• The change in linear Momentum of the body .

$\red{\bigstar}\underline{\underline{\textsf{\textbf{ Solution :- }}}}$

Given that a force of 10N acts on a body of mass 2 kg for 2s . We need to find the change in the linear momentum . We know that , the rate of change of momentum is directly proportional to applied force in the direction of the force .

$\sf\longrightarrow Force = \dfrac{ \Delta p }{Time } \\\\\\\sf\longrightarrow 10N = \dfrac{\Delta p }{2s } \\\\\\\sf\longrightarrow \Delta p = 10 N .s \\\\\\\sf\longrightarrow</p><p>\underset{\blue{\sf Required\ change }}{\underbrace{\boxed{\pink{\frak{ \Delta Momentum = 20 \ kg. ms^{-1} }}}}}$