An airplane of mass 1.2 × 104 kg tows a glider of mass 0.6 × 104 kg. The airplane propellers provide a net forward thrust of 5.4 × 104 N. What is the glider's acceleration?Select one:a.9.8 m/s2b.6.0 m/s2c.2.0 m/s2d.3.0 m/s2

To solve this problem, we need to use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula is F = ma, where F is the net force, m is the mass, and a is the acceleration.

Step 1: Calculate the total mass of the airplane and the glider. The total mass (m) = mass of the airplane + mass of the glider = 1.2 × 10^4 kg + 0.6 × 10^4 kg = 1.8 × 10^4 kg.

Step 2: Use the formula to calculate the acceleration. The net force (F) = 5.4 × 10^4 N. So, the acceleration (a) = F/m = (5.4 × 10^4 N) / (1.8 × 10^4 kg) = 3.0 m/s^2.

So, the glider's acceleration is 3.0 m/s^2. The correct answer is d. 3.0 m/s^2.

To solve this problem, we need to use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.

Step 1: Determine the total mass of the system (airplane and glider).

Total mass = mass of airplane + mass of glider Total mass = 1.2 × 10^4 kg + 0.6 × 10^4 kg = 1.8 × 10^4 kg

Step 2: Determine the net force acting on the system.

The net force is provided by the airplane propellers, which is 5.4 × 10^4 N.

Step 3: Use Newton's second law to calculate the acceleration.

Acceleration = Net force / Total mass Acceleration = 5.4 × 10^4 N / 1.8 × 10^4 kg = 3.0 m/s^2

So, the glider's acceleration is 3.0 m/s^2. The correct answer is d. 3.0 m/s^2.