Question
A 2200-kg
airplane pulls two gliders, the first of mass 350 kg
and the second of mass 250 kg
, down the runway with an acceleration of 1.3 m/s2
(Figure 1). Neglect the mass of the two ropes and any frictional forces. Determine the magnitude of the net force on the first glider.
airplane pulls two gliders, the first of mass 350 kg
and the second of mass 250 kg
, down the runway with an acceleration of 1.3 m/s2
(Figure 1). Neglect the mass of the two ropes and any frictional forces. Determine the magnitude of the net force on the first glider.
Answers
GPT-4o mini
To find the magnitude of the net force on the first glider (mass \( m_1 = 350 \) kg), we can use Newton's second law of motion, which states:
\[
F_{\text{net}} = m \cdot a
\]
where:
- \( F_{\text{net}} \) is the net force,
- \( m \) is the mass,
- \( a \) is the acceleration.
In this case, the acceleration \( a \) is given as \( 1.3 \, \text{m/s}^2 \).
Now, substituting the known values for the first glider:
\[
F_{\text{net,1}} = m_1 \cdot a = 350 \, \text{kg} \cdot 1.3 \, \text{m/s}^2
\]
Calculating the force:
\[
F_{\text{net,1}} = 350 \cdot 1.3 = 455 \, \text{N}
\]
Thus, the magnitude of the net force on the first glider is:
\[
\boxed{455 \, \text{N}}
\]
\[
F_{\text{net}} = m \cdot a
\]
where:
- \( F_{\text{net}} \) is the net force,
- \( m \) is the mass,
- \( a \) is the acceleration.
In this case, the acceleration \( a \) is given as \( 1.3 \, \text{m/s}^2 \).
Now, substituting the known values for the first glider:
\[
F_{\text{net,1}} = m_1 \cdot a = 350 \, \text{kg} \cdot 1.3 \, \text{m/s}^2
\]
Calculating the force:
\[
F_{\text{net,1}} = 350 \cdot 1.3 = 455 \, \text{N}
\]
Thus, the magnitude of the net force on the first glider is:
\[
\boxed{455 \, \text{N}}
\]