Exercises:1. A plane has a mass of25000kg,supposeittravels at 15m/s. Find theKE possessed by it.2. Suppose a 15 kg wastraveling at a speed of110m/s. Now this masstransfers all its energy to amass of 30kg. What will bethe velocity of the 30kgmass after being hit by it?-please use the g.r.e.s.a method
Answer (1)
Here are the solutions to the exercises using the G.R.E.S.A method: Exercise 1: Given: - Mass (m) = 25000 kg- Velocity (v) = 15 m/s Required: - Kinetic Energy (KE) Equation: - KE = 1/2 * mv² Solution: - KE = 1/2 * 25000 kg * (15 m/s)²- KE = 1/2 * 25000 kg * 225 m²/s²- KE = 2,812,500 Joules Answer: The kinetic energy possessed by the plane is 2,812,500 Joules. Exercise 2: Given: - Mass 1 (m1) = 15 kg- Velocity 1 (v1) = 110 m/s- Mass 2 (m2) = 30 kg Required: - Velocity 2 (v2) Equation: - Conservation of Energy: KE1 = KE2- KE = 1/2 * mv² Solution: - KE1 = KE2- 1/2 * m1 * v1² = 1/2 * m2 * v2²- 1/2 * 15 kg * (110 m/s)² = 1/2 * 30 kg * v2²- 90750 J = 15 kg * v2²- v2² = 90750 J / 15 kg- v2² = 6050 m²/s²- v2 = √6050 m²/s²- v2 ≈ 77.78 m/s Answer: The velocity of the 30 kg mass after being hit is approximately 77.78 m/s.
