Answer:
3.03 m/s²
Explanation:
m₂ > m₁, so m₁ will move up, m₂ will move down, and m₃ will move to the right.
Sum of the forces on m₁:
∑F = ma
T₁ − m₁g = m₁a
T₁ = m₁g + m₁a
Sum of the forces on m₂:
∑F = ma
T₂ − m₂g = m₂(-a)
T₂ = m₂g − m₂a
Sum of the forces on m₃ in the y direction:
∑F = ma
N − m₃g = 0
N = m₃g
Sum of the forces on m₃ in the x direction:
∑F = ma
T₂ − T₁ − F = m₃a
T₂ − T₁ − Nμ = m₃a
Substituting and solving for acceleration:
(m₂g − m₂a) − (m₁g + m₁a) − (m₃g)μ = m₃a
m₂g − m₂a − m₁g − m₁a − m₃gμ = m₃a
g (m₂ − m₁ − m₃μ) = (m₁ + m₂ + m₃) a
a = g (m₂ − m₁ − m₃μ) / (m₁ + m₂ + m₃)
Given m₁ = 4 kg, m₂ = 12 kg, m₃ = 6 kg, and μ = 0.2:
a = 9.81 (12 − 4 − 6×0.2) / (4 + 12 + 6)
a = 3.03 m/s²
Neptune is one of two ice giants in the outer solar system (the other is Uranus). Most (80 percent or more) of the planet's mass is made up of a hot dense fluid of "icy" materials—water, methane and ammonia—above a small, rocky core. Of the giant planets, Neptune is the densest.
Pls mark brainliest
Answer:
a) about 20.4 meters high
b) about 4.08 seconds
Explanation:
Part a)
To find the maximum height the ball reaches under the action of gravity (g = 9.8 m/s^2) use the equation that connects change in velocity over time with acceleration.
In our case, the initial velocity of the ball as it leaves the hands of the person is Vi = 20 m/s, while thw final velocity of the ball as it reaches its maximum height is zero (0) m/s. Therefore we can solve for the time it takes the ball to reach the top:
Now we use this time in the expression for the distance covered (final position Xf minus initial position Xi) under acceleration:
Part b) Now we use the expression for distance covered under acceleration to find the time it takes for the ball to leave the person's hand and come back to it (notice that Xf-Xi in this case will be zero - same final and initial position)
To solve for "t" in this quadratic equation, we can factor it out as shown:
Therefore there are two possible solutions when each of the two factors equals zero:
1) t= 0 (which is not representative of our case) , and
2) the expression in parenthesis is zero:
Answer:
I am so sorry about that.
Explanation: