Problemas
A truck is driving down the freeway when it hits a bird The truck experiences a force of 100 Newtons and a change in momentum of 2.5 kg^ast m/s If the truck has 1000x the mass of the bird, the bird will experience a force of __ Newtons and a change in momentum of underline ( )kg^ast m/s 100N,2.5kgm/s 100000N,2500kgm/s 100N,2500kgm/s 100000N,2.5kgm/s
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Amanda
professionell · Tutor durante 6 años
4.5
(328 Votos)
Respuesta
To solve this problem, we need to use the law of conservation of momentum and Newton's third law of motion.Given information:- The truck experiences a force of 100 Newtons and a change in momentum of 2.5 kg·m/s.- The truck has 1000x the mass of the bird.Let's denote the mass of the bird as m_bird and the mass of the truck as m_truck.According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision.The momentum of the truck before the collision is 0 (since it is stationary), and the momentum of the bird before the collision is also 0 (since it is also stationary).After the collision, the momentum of the truck is 2.5 kg·m/s, and the momentum of the bird is unknown.According to Newton's third law of motion, the force experienced by the truck is equal in magnitude and opposite in direction to the force experienced by the bird.Therefore, the force experienced by the bird is also 100 Newtons.The change in momentum of the bird can be calculated using the formula:Δp = F × twhere Δp is the change in momentum, F is the force, and t is the time.Since the force experienced by the bird is 100 Newtons, and the time is the same as the time experienced by the truck, the change in momentum of the bird is also 2.5 kg·m/s.Therefore, the bird will experience a force of 100 Newtons and a change in momentum of 2.5 kg·m/s.The correct answer is: 100N, 2.5kgm/s