a big lump of meat of mass 5kg is hung from a spring balance in an elevator, find the reading of the balance if; (I) the elevator is moving with a steady speed. (ii)the elevator is moving upwards with acceleration of 0.2m/s
(g= 10 m/s^2)
Answers
Given:
A big lump of meat of mass 5kg is hung from a spring balance in an elevator.
To find:
Reading of the balance if;
- the elevator is moving with a steady speed.
- the elevator is moving upwards with acceleration of 0.2m/s².
Calculation:
1st case:
- When the lift is moving up/down with a steady speed, the mass will not experience any pseudo-force.
- Hence, the reading will be equal to weight of the mass.
So, reading will be 50N.
2nd case:
- When elevator is moving upwards with 0.2 m/s² , it will experience an pseudo-force downwards.
So, reading will be 51 N.
Answer:
Given:
A big lump of meat of mass 5kg is hung from a spring balance in an elevator.
To find:
Reading of the balance if;
the elevator is moving with a steady speed.
the elevator is moving upwards with acceleration of 0.2m/s².
Calculation:
1st case:
When the lift is moving up/down with a steady speed, the mass will not experience any pseudo-force.
Hence, the reading will be equal to weight of the mass.
reading=mg=5g=50N
So, reading will be 50N.
2nd case:
When elevator is moving upwards with 0.2 m/s² , it will experience an pseudo-force downwards.
\rm\therefore \: reading = mg + ma∴reading=mg+ma
\rm \implies\: reading = m(g + a)⟹reading=m(g+a)
\rm \implies\: reading = 5(10+ 0.2)⟹reading=5(10+0.2)
\rm \implies\: reading = 5 \times 10.2⟹reading=5×10.2
So, reading will be 51 N.