Question 25
MotionThe driver in a motor car, of which the total mass is 800 kg and which is travelling at 20 m s−1, suddenly observes a stationary dog in his path 50 m ahead. If the car brakes can exert a force of 2000 N, what will most likely happen?
- A.The car will be able to stop immediately the driver notices the dog
- B.The car will stop 30 m after hitting the dog
- C.The car will stop 20 m in front of the dog
- D.The driver will quickly reverse the car
- E.The car will stop 5 m beyond the dog.
Show the answer and explanation
Answer: B (The car will stop 30 m after hitting the dog)
Explanation
Deceleration a = 2000/800 = 2.5 m s−2. Stopping distance = v²/2a = 400/5 = 80 m, which is 30 m beyond the dog 50 m ahead.