Question

(3) 001
A particle of m
which varies with
ve of mass 0.5 kg is subjected to a force
ries with distance as shown in graph
F (N)
8
12
X (m)
need of the particle at x = 0 is 4 m/s, then
If the speed of the
its speed at X = 8 m is
(1) 8 m/s
(3) 32 m/s
(2) 16 m/s
(4) 4 m/s​

Answer 1

Answer:

answer

Explanation:

your answer will be option number 2 16

Answer 2

Answer:

Speed at X = 8 m is v = 16m/s

Explanation:

We have got a particle of mass 0.5 kg and the force subjected to it varies with distance.

Speed at X equal to zero is given as 4 metre per second Search area at X equal to 8 will be calculated through the area under the graph

Area from 0 to 4 will be

½ x 4 x 10 = 20

Area from 4 to 8 will be

½ x (8-4)  x10 =20

Area from 8 to 12 will be

½ x (12-8) x 10 =20

Show the total area would be sum of the three 20 + 20 + 20=60  

9 to find velocity we have to apply ½ mv2 =60

So we get v = 16m/s