scottdave said:What equations can you use, for something rolling down an incline? Do they tell you the mass of the train?
We don't seem to be told either the length of the incline or the time spent thereon, so even if we knew the mass all we would have for the first part is the initial speed and acceleration. Not enough to find the speed at the bottom.scottdave said:If there was no braking force, you could use equations of motion.
You could also use Conservation of Energy. Are you familiar with these?
It is rarely helpful to find the angle in these questions. Usually you only know and only want trig functions of the angle, and those can be converted one to another easily.Girn261 said:Tan -1 (.01) = .57 degrees
haruspex said:We don't seem to be told either the length of the incline or the time spent thereon, so even if we knew the mass all we would have for the first part is the initial speed and acceleration. Not enough to find the speed at the bottom.
The grade of the incline, in this case 1%, refers to the steepness or slope of the incline. It indicates that for every 100 units of horizontal distance, the incline rises 1 unit. This means that the train will have to work against gravity to move up the incline, which can affect its speed and energy consumption.
The train's ability to climb the incline depends on several factors, including its weight, power and traction. A heavier train will require more power to overcome the incline, while a train with good traction (i.e. strong grip on the tracks) will be better equipped to handle the incline.
The grade of the incline can also affect the train's brakes. If the train is going downhill, the incline will increase its speed, meaning the brakes will have to work harder to slow it down. On the other hand, if the train is going uphill, the incline will act as a natural brake, reducing the speed and strain on the train's brakes.
Yes, a train can safely remain stationary on a 1% grade incline. However, it may require additional measures such as applying the brakes or using wheel chocks to prevent it from rolling downhill. The train's braking system and weight distribution also play a role in its ability to stay stationary on an incline.
The length of the train can affect its ability to climb the incline, especially if it is a long train. Longer trains may struggle more to climb the incline due to the increased weight and potential for uneven weight distribution. This can also impact the train's braking and acceleration on the incline.