Answer :
To find the velocity of a car just after colliding with a deer, we use the conservation of momentum principle. Assuming an inelastic collision where the deer remains attached to the car, the final velocity is calculated by dividing the total initial momentum by the combined mass of the car and deer.
The velocity of a car after a collision with a deer, assuming that the deer remains on the car after the collision. To solve this, we can use the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision. Assuming an inelastic collision where the car and deer stick together, the combined mass is the sum of the car's and deer's mass.
Here's how you calculate it step by step:
- Calculate the total initial momentum of the system (car plus deer). Momentum is the product of mass and velocity.
- Since the collision is perfectly inelastic and the two stick together, the total final momentum will be equal to the initial momentum.
- Divide the total momentum by the combined mass of the car and deer to find the final velocity.
For the original question, if the mass of the car is 920 kg moving at 26.5 m/s, and assuming the deer essentially becomes part of the car's mass after the collision, the final velocity (v_f) can be found by:
Momentum of car: p_car = m_car * v_car_initial
Momentum of deer: p_deer = m_deer * v_deer_initial (since the deer is initially at rest, its momentum is 0)
Total initial momentum (p_total_initial) = p_car + p_deer
Combined mass after collision (m_total) = m_car + m_deer
Final velocity (v_f) = p_total_initial / m_total
