Solve Kinematics Problem: High Speed Train & Locomotive

In summary, the problem involves a high speed train encountering a locomotive on the track and needing to calculate the deceleration to avoid a collision. The train is traveling at 161km/h and the locomotive is traveling at 29.0km/h in the same direction. The engineer must apply the brakes to avoid hitting the locomotive. The solution involves setting the distance traveled by the train equal to the distance traveled by the locomotive and solving for the deceleration, which is calculated to be 0.93m/s^2.
  • #1
Nenad
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0
Hello everyone, this problem may seem simple to all of you, but I seem to be having a mental block. My physics prof assigned some review last class and I seem to be stuck on this problem.

Here goes:
When a high speed train traveling at 161km/h rounds a bend, the engineer see that there is a locomotive lying on the track directly ahead of the moving train. The locomotive is traveling at 29.0km/h in the same direction as the train, and is 676m away when the train sees it. The engineer of the high speed trian imeediatelly applyes the brakes.
(a) that must be the decelleration of the train in order not to hit the locomotive. (friction is neglected).

Ive tried setting distance traveled of the two events equal to each other, and I keep getting a decelleration of -1.43m/s^2, but the answer is 0.93m/s^2. A helpfull hint on how to approach the problem would be fantastic.
Awaiting a reply, Thanks.
 
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  • #2
First of all, your answer your answer for a will be negative, but the answer to the question should be positive because they ask for the decelleration.

If they are traveling in the same direction, the speed of the train with respect to the locomotive is ____ (pretent the locomotive is stationary). The distance is 676 m. What kinematics formula applies to this? Now solve for a.
 
  • #3
thanx man.
 

1. What is kinematics and how does it relate to high speed trains and locomotives?

Kinematics is the branch of physics that studies the motion of objects without considering the forces that cause the motion. High speed trains and locomotives are complex systems that involve the motion of multiple objects, such as wheels, pistons, and cars, making kinematics an important aspect of understanding their movement.

2. How is the velocity of a high speed train or locomotive calculated?

The velocity of a high speed train or locomotive can be calculated using the formula v = d/t, where v is the velocity, d is the distance traveled, and t is the time it takes to travel that distance. This formula can be applied for both average velocity and instantaneous velocity.

3. What factors affect the acceleration of a high speed train or locomotive?

The acceleration of a high speed train or locomotive is affected by several factors, including the force of the engine, the weight of the train, the friction between the train and the tracks, and the air resistance. Additionally, any changes in the velocity or direction of the train will also affect its acceleration.

4. How is the motion of a high speed train or locomotive graphically represented?

The motion of a high speed train or locomotive can be graphically represented using a position vs. time graph or a velocity vs. time graph. These graphs plot the change in position or velocity over a specific period of time, providing a visual representation of the train's motion.

5. What are some common methods for solving kinematics problems involving high speed trains and locomotives?

Some common methods for solving kinematics problems involving high speed trains and locomotives include using equations of motion, vector diagrams, and graphical analysis. It is also important to accurately define the variables and consider any external factors that may affect the train's motion.

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