Answer:
See below ↓
Explanation:
Assuming the motion of a simple pendulum, the time period is given by
- ⇒ T = 2π√(L/g)
- ⇒ T₁/T₂ = √(g₂/g₁)
<u>The values we have</u>
- T₁ = 3 s
- g₁ = 9.79 m/s²
- g₂ = 9.82 m/s²
<u>Solving</u>
- T₂ = T₁/√(g₂/g₁)
- T₂ = 3/√(9.82/9.79)
- T₂ = <u>3.004593 seconds</u>
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- This many digits are needed because the acceleration is changed by a very small percentage (roughly 2 decimal places)
- So on taking the square root of the ratio of the gravity due to acceleration (2 values), 4 decimal places will be present at the very least
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Answer: 479. 425 N
Explanation: the calculation of a body in an elevator obeys Newton law. When it is accelerating upward, the scale reading is greater than the true weight of the person.
It is given by N= m(g+a)
When it is accelerating downward, the scale reading is less than the true weight.
It so given by N = m(g-a)
The answer to the above questions is in the attached photo
Answer:
The speed and direction of each ball after the collision is 1.27 m/s to East direction and 5.07 m/s to East direction.
Explanation:
given information
m₁ = 0.440 kg
v₁ = 3.80 m/s
m₂ = 0.220 kg
v₂ = 0
collision is perfectly elastic
v₁ - v₂ = - (v₁'- v₂')
v₁ = - (v₁'- v₂')
v₂' = v₁ + v₁'
according to momentum conservation energy
m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'
m₁v₁ = m₁v₁' + m₂(v₁ + v₁')
m₁v₁ = m₁v₁' + m₂v₁ + m₂v₁'
m₁v₁ - m₂v₁ = m₁v₁' + m₂v₁'
v₁ (m₁ - m₂) = (m₁ + m₂) v₁'
v₁' = (m₁ - m₂)v₁ / (m₁ + m₂)
= (0.440 - 0.220) (3.8) / (0.440 + 0.220)
= 1.27 m/s to East direction
v₂' = v₁ + v₁'
= 3.8 + 1.27
= 5.07 m/s to East direction
The jet stream winds blow storms from west to east
