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no
The mass of the object doesn't matter, but the answer does depend on the angle (steepness) of the ramp.
The steepness of the ramp affects the direction of the normal force of the object on a ramp (which is always perpendicular to the ramp). The net gravitational force is always straight down.Using the angle of inclination of the ramp with Trigonometry, you can find the vector forces of gravity perpendicular and parallel to the normal force which makes up the net gravitational force. The parallel portion is in the same direction of the ball rolling down the ramp. This will give you your force of acceleration, which you can use in basic equations to find the velocity of the object.The steeper the ramp, the faster the object rolls down. A ramp of 0 degrees would result in a ball just sitting on the ramp as normal force and gravitational forces cancel each other. A ramp of 90 degrees would be like a cliff and this would produce the fastest velocity since the ball is moving in the same direction as the force of gravity in free fall. A ramp with an angle between these means that part of the gravitational force is being offset by the normal force.
Yes.The higher the ramp the faster.
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.
how does increasing the height of a ramp affect how far a ball rolls down the ramp
The independent variable in an experiment is the variable that the experimenter varies or changes. For instance, if I'm studying the effect of the steepness of a ramp with the time it takes a ball to roll down the ramp, I change the steepness of the ramp (the independent variable) and measure the time (the dependent variable). Hope this helps.
no
The mass of the object doesn't matter, but the answer does depend on the angle (steepness) of the ramp.
The answer depends on what causes the difficulty: the steepness or the distance which you have to run.
The steepness of the ramp affects the direction of the normal force of the object on a ramp (which is always perpendicular to the ramp). The net gravitational force is always straight down.Using the angle of inclination of the ramp with Trigonometry, you can find the vector forces of gravity perpendicular and parallel to the normal force which makes up the net gravitational force. The parallel portion is in the same direction of the ball rolling down the ramp. This will give you your force of acceleration, which you can use in basic equations to find the velocity of the object.The steeper the ramp, the faster the object rolls down. A ramp of 0 degrees would result in a ball just sitting on the ramp as normal force and gravitational forces cancel each other. A ramp of 90 degrees would be like a cliff and this would produce the fastest velocity since the ball is moving in the same direction as the force of gravity in free fall. A ramp with an angle between these means that part of the gravitational force is being offset by the normal force.
it can slip
Changing the slope of the ramp will affect the speed of the vehicle going down it.
The higher the gradient, the more steeper the line will be.
Hmm. . . You can't modify the ball or the ramp. Those are two constraints that don't leave much room for improvement. Is changing the pitch angle of the ramp allowed? I suppose not. How about moving the ramp into a vacuum chamber? If you place the ramp and ball in a vacuum chamber and purge the air, you will eliminate -- or at least greatly reduce -- the friction due to air resistance. In a vacuum, the ball should roll down the ramp faster. How about blowing the ball down the ramp? Get behind the ball and, once it's rolling, blow hard! Better yet, get a hair blow-dryer and really give it a boost.
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.
Yes.The higher the ramp the faster.