Final answer:
A thrust force of 3.9 N is required to accelerate a 3kg remote control car at 0.5 m/s² while overcoming a friction force of 2.4 N.
Step-by-step explanation:
To calculate the required thrust force to accelerate a 3kg remote control car at a rate of 0.5 m/s², taking into account a friction force of 2.4 N, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
First, we determine the net force needed to achieve the given acceleration:
- Mass (m) of the car = 3 kg
- Desired acceleration (a) = 0.5 m/s²
Net force needed (excluding friction) = m × a = 3 kg × 0.5 m/s² = 1.5 N
However, we must also overcome the force of friction, which is given as 2.4 N. Hence, the total thrust force needed is the sum of the net force and friction force:
Total thrust force = Net force + Friction force = 1.5 N + 2.4 N = 3.9 N
Therefore, a thrust force of 3.9 N is required to accelerate the car at the specified rate.