1)The work done by gravity on the car is independent of horizontal distance but is proportional to its change in height. this means that the potential energy that is converted to kinetic(motion) energy is all that has changed :
Change in potential energy can be found by a simple formula : m*g*h where m is the mass, g is gravitational acceleration (9.8m/s) and h is the change in height. if a car weighs 1000kg and the ramp is 2m high, the kinetic energy will be roughly 20000kg*m/s. and kinetic energy can be found by 1/2mv^2 we solve for v (velocity, speed) and get 6.324m/s or 22km/h. Again, if we don't count slope or friction than the slope of the ramp does not matter.
2)Because of gravity the car is forced downward. The higher the ramp, the more distance gravity has to apply to the car. Therefore, the higher the ramp, the further the car will travel.
3)The higher the ramp, the faster the car goes when it reaches the bottom. The distance depends on speed and friction. With no friction the car would keep going forever.
You are an avid skateboarder and just skated down a ramp. You want to find the distance you traveled. The height of the ramp at its tallest part is 40 inches and the horizontal length is 81 inches. Calculate the distance, to the nearest whole inch, you traveled down the ramp.
It depends on the mass of the box, the force exerted, the total displacement and the height the box was moved.
Its the reciprocal of the sine of the ramp angle. > 1 / ( sin ( ramp angle ) )
The distance is longer than the lift or the drop, but the force you need is less than the weight of the load.
The same amount
One factor is the height of the ramp. The higher the height of the ramp the further the car travels. Another factor is the surface of the ramp. With a rough surface on the ramp e.g sand paper the car travels a short distance. With a lubricated surface on the ramp e.g Vaseline the car will travel a very long distance.
The height of a ramp affects the distance because it determines the angle at which an object is launched off the ramp. A higher ramp will result in a greater launch angle, allowing the object to travel a longer distance compared to a lower ramp. This is due to the increase in the horizontal component of the initial velocity imparted to the object.
yes
Yes.
The ideal mechanical advantage (IMA) of a ramp is calculated as length divided by height. Therefore, the IMA of a ramp with greater height will be smaller than the IMA of a ramp with a height of 1m. This means that a taller ramp will require less effort but over a longer distance to overcome gravitational force compared to a ramp with a height of 1m.
When the height of the ramp is increased, the marble will have a higher gravitational potential energy. As a result, it will travel at a faster speed when it rolls down the ramp due to the increased height converting into kinetic energy. Conversely, decreasing the height of the ramp will result in the marble traveling at a slower speed.
if the ramp forms a very steep gradient, definately the car will roll for a longer distance. On the contrary, if the gradient formed by the ramp is gentle, then it will roll for a shorter distance
To determine the gradient of a ramp, you can use the formula: Gradient = vertical rise / horizontal run. Measure the height of the ramp (vertical rise) and the distance along the slope (horizontal run), then calculate the gradient by dividing the height by the distance. The gradient represents the steepness of the ramp.
Yes, it does. The further up a ball is placed on a ramp, the greater the distance the ball travels. If launched from a lower starting position, then the ball shall travel a shorter distance. This is all true under Newton's second law, which states that Force = mass * acelaration(F= m*a). If the ball has to move something, i.e. a cup, then the rule applies as well.
The height of the ramp affects effort force by changing the distance over which you need to push an object up the ramp against gravity. A steeper ramp requires more effort force as you have to overcome gravity over a shorter distance, while a gentler ramp requires less effort force as you push the object up a longer incline.
The input force would increase as the height of the ramp increased. It wouldn't matter the distance. Ask me another one.
You are an avid skateboarder and just skated down a ramp. You want to find the distance you traveled. The height of the ramp at its tallest part is 40 inches and the horizontal length is 81 inches. Calculate the distance, to the nearest whole inch, you traveled down the ramp.