High School

What is the velocity of a 990-kg car initially moving at 26.0 m/s just after it hits a 159-kg deer initially running at 12.0 m/s in the same direction? Assume the deer gets lodged on the car.

Answer :

Final answer:

The velocity of the car, just after it hits the deer and the deer remains on the car, is approximately 25.6 m/s.

Explanation:

Initially, the car has a mass of 990 kg and a velocity of 26.0 m/s, while the deer has a mass of 159 kg and a velocity of 12.0 m/s. After the collision, the combined mass of the car and the deer is 990 kg + 159 kg = 1149 kg.

To find the velocity of the car and the deer after the collision, we can use the equation: (mass of car x initial velocity of car) + (mass of deer x initial velocity of deer) = (mass of car + mass of deer) x final velocity.

Substituting in the values, we get: (990 kg x 26.0 m/s) + (159 kg x 12.0 m/s) = (1149 kg) x final velocity. Solving for the final velocity, we get: final velocity = (990 kg x 26.0 m/s) + (159 kg x 12.0 m/s) / 1149 kg = 25.6 m/s (approximately).

Learn more about Conservation of Momentum here:

https://brainly.com/question/33316833

#SPJ11