Finding the speed of a metal ball

In summary, the ball of mass .500kg with an initial speed of 5.00 m/s rolls down a frictionless incline onto the floor 1.00 meter below. To find the speed of the ball when it reaches the floor, the equation PEf + KEf = PEi + KEi is used, leading to .5mv^2 = mgh. The initial speed of 5.00 m/s is factored into the equation as KEi, and the ball will slide down the incline rather than accelerating at the same rate as if it was dropped. The final equation used to solve for the velocity is KEf = PEi + KEi.
  • #1
smithers11
4
0
alright, so here's my question that i have to answer:
"A ball of mass .500kg is rolling across a table top with a speed of 5.00 m/s. When the ball reaches the edge of the table, it rolls down a frictionless incline onto the floor 1.00 meter below (without bouncing). What is the speed of the ball when it reaches the floor (just before it touches the floor)?"

I use the equation PEf + KEf = PEi + KEi and then get KEf = PEi, which then leads to
.5mv^2 = mgh
From here, I'm stuck. Since the ramp is frictionless, does the ball accelerate the same as it would if it was dropped? And, how would I add in the initial speed of 5.00 m/s?
 
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  • #2
smithers11 said:
I use the equation PEf + KEf = PEi + KEi and then get KEf = PEi, which then leads to
.5mv^2 = mgh
But KEi ≠ 0.
From here, I'm stuck. Since the ramp is frictionless, does the ball accelerate the same as it would if it was dropped?
No, it slides down the incline.
And, how would I add in the initial speed of 5.00 m/s?
That speed will be reflected in KEi.
 
  • #3
ok so then i would change my equation to KEf = PEi + KEi, and then from there use the equation KEf = .5mv^2 to solve for the velocity (speed), right?
 
  • #4
Right.
 

1. How do you measure the speed of a metal ball?

The speed of a metal ball can be measured using a device called a speedometer, which uses sensors to track the movement of the ball and calculate its speed.

2. What factors can affect the speed of a metal ball?

The speed of a metal ball can be affected by factors such as the surface it is rolling on, the angle of the slope, and any obstacles or friction present in its path.

3. Can the speed of a metal ball change over time?

Yes, the speed of a metal ball can change over time as it moves along its path. It may speed up or slow down depending on various factors such as gravity, air resistance, and collisions with other objects.

4. How can you calculate the speed of a metal ball?

To calculate the speed of a metal ball, you can use the formula: Speed = Distance/Time. Measure the distance the ball travels and the time it takes, then divide the distance by the time to get the speed.

5. What is the unit of measurement for the speed of a metal ball?

The unit of measurement for the speed of a metal ball is typically meters per second (m/s) or kilometers per hour (km/h). Other units such as feet per second (ft/s) or miles per hour (mph) may also be used.

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