A force 2i + J - k Newton acts on a body which is initially at rest. At the end of 20 seconds the velocity of the body is 4 i + 2j - 2K m s⁻¹. What is the mass of the body?
Answers
Answered by
13
Hey buddy,
# Answer- m = 10kg
## Explaination-
# Given-
F = 2i+j-k N
t = 20 s
u = 0 m/s
v = 4i+2j-2k m/s
# Solution-
F = m(v-u)/t
2i+j-k = m(4i+2j-2k-0)/20
2i+j-k = m(2i+j-k)/10
m = 10 kg
Mass of the body is 10 kg.
# Answer- m = 10kg
## Explaination-
# Given-
F = 2i+j-k N
t = 20 s
u = 0 m/s
v = 4i+2j-2k m/s
# Solution-
F = m(v-u)/t
2i+j-k = m(4i+2j-2k-0)/20
2i+j-k = m(2i+j-k)/10
m = 10 kg
Mass of the body is 10 kg.
Answered by
4
Given :
Force F= 2i + J - k
|F|=√4+1+1 =√6
Initial velocity=u=0
Final velocity v= 4i+2j+2k
|V|=√16+4+4 =√24=2√6
Time=t=20
F=ma=m(v-u)/t
m=Fxt/(v-u)
=√6x20/2√6-0
=10kg
∴m=10kg
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