When carrying a passenger or cargo:
Answers
It may take less time to accelerate, but more time to stop.
It may take more time to accelerate and stop.
It may take more time to accelerate, but less time to stop.
It may take less time to accelerate and stop.
The Correct Answer and Explanation is :
The correct answer is:
It may take more time to accelerate and stop.
Explanation:
When carrying a passenger or cargo, the overall mass of the vehicle increases. This increased mass affects both acceleration and stopping distances.
- Acceleration:
Acceleration is determined by the force applied to the vehicle divided by its mass, according to Newton’s second law of motion (( F = ma )). When the mass increases (due to the addition of a passenger or cargo), the vehicle’s acceleration decreases for the same applied force. This means it will take more time to reach a certain speed compared to when the vehicle is empty, since the engine or motor must work harder to overcome the greater inertia caused by the added mass. - Stopping:
The stopping distance is also affected by the vehicle’s mass. A heavier vehicle has more momentum, and according to the equation for momentum (( p = mv )), the greater the mass (m), the more momentum (p) the vehicle has at a given speed (v). In order to stop a vehicle, a braking force is needed to counteract this momentum. Since a heavier vehicle has more momentum, it requires more force or time for the braking system to bring the vehicle to a stop. Consequently, the stopping distance increases as the mass increases.
Key Concepts:
- Increased Mass: Both acceleration and deceleration are slower because the vehicle’s mass has increased.
- Inertia: A heavier vehicle resists changes in motion, meaning it is harder to speed up or slow down.
- Momentum: The heavier the vehicle, the greater the momentum, meaning it will take longer to stop.
In summary, carrying a passenger or cargo increases the vehicle’s mass, which leads to both slower acceleration and longer stopping distances. Therefore, the correct statement is that it may take more time to accelerate and stop when carrying additional weight.