Question
What do Argo floats measure in the world's ocean currents? Select the two correct answers.(1 point)%0D%0AResponses%0D%0A%0D%0Acarbon dioxide%0D%0Acarbon dioxide%0D%0A%0D%0Asalinity%0D%0Asalinity%0D%0A%0D%0Atemperature%0D%0Atemperature%0D%0A%0D%0Arainfall
Answers
Answered by
GPT 3.5
The correct answers are:
- Salinity
- Temperature
- Salinity
- Temperature
Answer
A pendulum has a string with the length 1.2 m. You hold it at an angle of 22 degrees to the vertical and release it. The pendulum bob has a mass of 2.0 kg.
What is the potential energy before it is released?___J. What will be the velocity of the pendulum through the bottom of its swing? ___m/s.
Note:- Use g = 10 m/s^2. Use geometry to determine the height when released.
What is the potential energy before it is released?___J. What will be the velocity of the pendulum through the bottom of its swing? ___m/s.
Note:- Use g = 10 m/s^2. Use geometry to determine the height when released.
Answered by
GPT 3.5
To calculate the potential energy before the pendulum is released, we need to determine the height when released.
Given:
Length of the string (L) = 1.2 m
Angle with the vertical (θ) = 22 degrees
Using geometry, we can calculate the height (h) when released:
h = L * sin(θ)
h = 1.2 * sin(22)
h ≈ 0.44 m
Potential Energy (PE) = m * g * h
PE = 2.0 * 10 * 0.44
PE = 8.8 J
Therefore, the potential energy before it is released is 8.8 J.
To find the velocity of the pendulum at the bottom of its swing, we can use the principle of conservation of mechanical energy.
Since there is no energy loss due to friction or air resistance, the potential energy at the highest point (when released) is equal to the kinetic energy at the lowest point (bottom of the swing).
Potential Energy (PE) = Kinetic Energy (KE)
m * g * h = (1/2) * m * v^2
Simplifying:
g * h = (1/2) * v^2
10 * 0.44 = (1/2) * v^2
4.4 = (1/2) * v^2
Solving for v:
v^2 = 4.4 * 2
v^2 = 8.8
v ≈ √8.8
v ≈ 2.97 m/s
Therefore, the velocity of the pendulum through the bottom of its swing is approximately 2.97 m/s.
Given:
Length of the string (L) = 1.2 m
Angle with the vertical (θ) = 22 degrees
Using geometry, we can calculate the height (h) when released:
h = L * sin(θ)
h = 1.2 * sin(22)
h ≈ 0.44 m
Potential Energy (PE) = m * g * h
PE = 2.0 * 10 * 0.44
PE = 8.8 J
Therefore, the potential energy before it is released is 8.8 J.
To find the velocity of the pendulum at the bottom of its swing, we can use the principle of conservation of mechanical energy.
Since there is no energy loss due to friction or air resistance, the potential energy at the highest point (when released) is equal to the kinetic energy at the lowest point (bottom of the swing).
Potential Energy (PE) = Kinetic Energy (KE)
m * g * h = (1/2) * m * v^2
Simplifying:
g * h = (1/2) * v^2
10 * 0.44 = (1/2) * v^2
4.4 = (1/2) * v^2
Solving for v:
v^2 = 4.4 * 2
v^2 = 8.8
v ≈ √8.8
v ≈ 2.97 m/s
Therefore, the velocity of the pendulum through the bottom of its swing is approximately 2.97 m/s.