Answer:
The answer is 4th choice. Down with a speed less than v.
Explanation:
The momentum of the person and the balloon need to cancel each other out. Momentum formula of the balloon is as following:
At the moment of t=0, the person and the balloon has the 0 speed.
When the person starts to climb on a balloon, balloon need to cancel this momentum out. We know that the balloon is more heavier than the person. So balloon need to go down with the speed of less than v.
Answer:
The value is
Explanation:
From the we are told that
The radius of the sphere is
The temperature is
The average temperature of the rest of the universe is
Generally the change in entropy of the entire universe per second is mathematically represented as
Here is the entropy of the rest of the universe which is mathematically represented as
Here Q is the quantity of heat radiated by the star which is mathematically represented as
Here is the Stefan-Boltzmann constant with value
=>
=>
So
=>
Here is the entropy of the rest of the universe which is mathematically represented as
=>
=>
So
=>
Answer:
4E
Explanation:
From the question given above, the following data were obtained:
Initial elongation (e₁) = 4 cm = 4/100 = 0.04 m
Initial energy (E₁) = E
Final elongation (e₂) = 0.04 + 0.04 = 0.08 m
Final energy (E₂) =?
The energy stored in a s spring is given by:
E = ½Ke²
Where
E => is the energy
K => is the spring constant
e => is the elongation
From:
E = ½Ke²
Energy is directly proportional to the elongation. Thus,
E₁/e₁² = E₂/e₂²
With the above formula, we can obtain the final energy as follow:
Initial elongation (e₁) = 0.04 m
Initial energy (E₁) = E
Final elongation (e₂) = 0.08 m
Final energy (E₂) =?
E₁/e₁² = E₂/e₂²
E / 0.04² = E₂ / 0.08²
E / 0.0016 = E₂ / 0.0064
Cross multiply
0.0016 × E₂ = 0.0064E
Divide both side by 0.0016
E₂ = 0.0064E / 0.0016
E₂ = 4E
Therefore, the final energy is 4 times the initial energy i.e 4E
To find the slope, use the equation: m = y2 - y1 / x2 - x1
Hope this helps!