Fig shows the position-time graph of a particle of mass 4kg- What is thea force on the particle for t4s- 0-t-4 s - b impulse at t-0 and t-4s - Consider one dimensional motion only

The correct option is A 3,12 Condition 1: When t lt;0 (Not possible) Condition 2: When t gt;4s, the graph is showing zero ...

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Byju's Answer

Standard IX

Physics

Acceleration from Velocity-Time Graph

Fig shows the...

Question

Fig shows the position-time graph of a particle of mass $4 k g$ . What is the
(a) force on the particle for $t < 0$ , $t > 4 s$ , $0 < t < 4 s$ ?
(b) impulse at $t = 0$ and $t = 4 s$ ? (Consider one dimensional motion only)

3,12

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4,15

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5,16

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7,18

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Solution

The correct option is A 3,12
$C o n d i t i o n 1 : W h e n t < 0 (N o t p o s s i b l e) C o n d i t i o n 2 : W h e n t > 4 s, t h e g r a p h i s s h o w i n g z e r o d i s p l a c e m e n t . S o m g n i t u d e o f f o r c e i s z e r o . C o n d i t i o n 3 : W h e n 0 < t < 4 s; t h e n C o n s i d e r i n g t = 4 s, D i s t a n c e, s = v t; v = \frac{3 m}{4 s} = 0.75 m / s a = \frac{v - u}{t} a = \frac{0.75 - 0}{4} a = 0.18 m / s F = m a; F = 4 k g \times 0.75 m / s F = 3 N s e c o n d p a r t : A t t = 0 s, I m p u l s e = F t = 0 A t t = 4 s I m p u l s e = 3 N \times 4 s I m p u l s e = 12 N s$

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Fig shows the position-time graph of a particle of mass 4kg. What is the(a) force on the particle for t<0, t>4s, 0<t<4s ? (b) impulse at t=0 and t=4s ? (Consider one dimensional motion only)

Fig shows the position-time graph of a particle of mass $4 k g$ . What is the
(a) force on the particle for $t < 0$ , $t > 4 s$ , $0 < t < 4 s$ ?
(b) impulse at $t = 0$ and $t = 4 s$ ? (Consider one dimensional motion only)