No spam !!!
Correct answers accepted!!!
Content quality required!!!
Thanks!!
Share
No spam !!!
Correct answers accepted!!!
Content quality required!!!
Thanks!!
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer: 4.9 m
Explanation:
Let the resultant force acting downwards in the direction of 3kg and acting upward in side of 2kg mass be F and acceleration of masses be a.
Since , 3 kg is heavier than 2kg. So 3 kg mass will pull 2kg mass in upward direction.
Force acting downward by 3kg mass = 3g(m₁)
Force acting downward by 2kg mass = 2g(m₂)
Resultant force(F) = 3g - 2g
F = g
Acceleration (a) = F/(m₁+m₂)
a = g/(3+2)
a = g/5 m/s²
Case I:- Firstly m₂ starts moving this acceleration 'a' in upward direction till string does not get break i.e given as 5 seconds
So in this case we have,
Initial velocity (u) = 0
Final velocity (v) = ?
time(t) = 5 sec
So by using first equation of motion
v = u + at
v = 0 + g/5 × 5
v = g m/s
Case II :- Now m₂ is moving with this acceleration 'a' in upward direction. At the moment when that string breaks, m₂ will still move in upward direction with initial speed as 'g' m/s as per Law of Inertia and its velocity at highest point will be zero.
So in this case we have,
Initial velocity (u) = g
Final velocity (v) = 0
v² = u² - 2as
0 = g² - 2as
2as = g²
2gs = g²
2s = g
s = g/2
s = 9.8/2
s = 4.9 m
Option - A ( 4.9 m )
Let the acting force be 3kg for downwards.
Let the acting force be 2kg for upwards.
Let F be the mass and A be acceleation.
3kg > 2kg ( 3kg is greater than or more than 2kg hence, 3 kg mass taken to the 2kg mass for upward.
1) 3kg mass = 3g (m1)
2) 2kg mass = 2g (m2)
F = 3g - 2g
F = gA = F / ( m1 + m2)
A = g / ( 3 + 2 )
A = g / 5 ( m/s² )
Case 1
u = 0
v = To find (?)
v = g ( m/s )
Case 2
u = g
v = 0
v² = u² = 2as
0 = g²
2as = g²
2gs = g²
2s = g
s = g / 2
s = 9.8 / 2
.°. s = 4.9 m
Therefore, the height from now the 2 kg mass will go to ( 4.9 m ).