Answer:
(d) 9 × 10^{3] J
Explanation:
from the question we are given the following:
weight of the man = 6.0 × 10 ^ {2} N
average speed (v) = 3 m/s
time (t) = 3 s
potential energy (U) = ?
We can calculate the increase in potential energy of the man by applying the formula below
increase in potential energy = P₂ - P₁
where
- P₁ is the initial potential energy
- P₂ is the final potential energy
- Potential energy = mass x acceleration due to gravity x height
From physic we know that weight = mass x acceleration due to gravity
- We should take note that the distance in this case is also our height, and we can get it from the formula distance = velocity x time
- Distance = 3 x 5 = 15 meters
- Initial potential energy P₁ is zero because the person was initially in motion and potential energy is the energy at rest.
therefore
potential energy = 6.0 × 10 ^ {2} × 15 = 9 × 10^{3] J
The height need to change by 4 to double the final velocity.
<h3>Final velocity of the object</h3>
The final velocity of an object during a free fall is related to maximum height of fall as given the equation below.
v = √2gh
v² = 2gh
v²/h = 2g
v₁²/h₁ = v₂²/h₂
when v₂ = 2v₁, change in height is calculated as;
h₂ = h₁v₂²/v₁²
h₂ = (h₁ (2v₁)²) / (v₁)²
h₂ = 4h₁v₁² / v₁²
h₂ = 4h₁
Thus, the height need to change by 4 to double the final velocity.
Learn more about final velocity here: brainly.com/question/25905661
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Answer:
Negative
Explanation:
If a negatively charged object is used to charge a neutral object by induction, then the neutral object will acquire a positive charge. And if a positively charged object is used to charge a neutral object by induction, then the neutral object will acquire a negative charge:
We have a neutral sphere
1) Electrons are attracted to the positive charge
2) Electrons enter the sphere from ground, attrated to the + charge in the sphere
3) The sphere has an excess of e- having entered from the ground
4) Electrons redistribute uniformly