A jet catapult on an aircraft carrier accelerates a 2 000 kg plane uniformly from rest to 320 km/h in 2.0 s. How much net force is needed to do this?
Answer (1)
1. Convert units to be consistent:• Mass (m): 2000 kg (already in SI units)• Initial velocity (vi): from rest, so 0 m/s• Final velocity (vf): 320 km/h needs to be converted to meter/sec. 320 km/h × 1000m/1km × 1hour/3600 sec =88.89 m/s (approximately)• Time (t): 2.0 s (already in SI units)2. Calculate the acceleration (a):Acceleration is the change in velocity over time:a = [tex]\frac{Vf-Vi}{t}[/tex]a = [tex]\frac{88.89 m/s - 0 m/s}{2 s}[/tex]a = 44.445 m/s^23. Calculate the net force (Fnet):Using Newton's Second Law of Motion: Fnet=m×aFnet = 2000 kg ×44.445 m/s2Fnet = 88890 N
