Finding Velocity of Rolling Ball

In summary, the conversation discusses a kinematics problem involving a small ball being shot from point P and traveling along a horizontal path, up a ramp, and onto a plateau. The goal is to calculate the initial speed at point P in order for the ball to land at a specific horizontal distance. The conversation suggests using projectile equations and energy conservation to solve the problem.
  • #1
GingerBread27
108
0
In Figure 11-36, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h1 = 4.80 cm and h2 = 1.60 cm. With what speed must the ball be shot at point P for it to land at d = 5.80 cm?

Can someone give me a push in the right direction?
 

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  • #2
This is a kinematics problem. How much time would it take an object to fall from h2? Now you know d, so can you find the horizontal velocity of the ball on the plateau? Now consider the energy transfers (kinetic-potential and vice versa) that occur during the ball's travel up the slope, and you should be able to find initial velocity at P.
 
  • #3
Don't get it...sigh
 
  • #4
use the projectile equations to figure out the velocity you would need when the ball leaves the edge so that you would get that range.

2nd consider the energy required to make it up the ramp and also have the velocity of part one

then ur done
 
  • #5
I know it deals with energy conservation but I can't remember the equation to use for projectile motion.
 
  • #6
AIM me at greenman100
 

Related to Finding Velocity of Rolling Ball

What is the definition of velocity?

Velocity is a measure of the rate at which an object changes its position in a specific direction over time. It is a vector quantity that includes both magnitude (speed) and direction.

How is velocity calculated for a rolling ball?

The velocity of a rolling ball can be calculated by dividing the distance traveled by the time it took to travel that distance. This can be expressed as V = d/t, where V is velocity, d is distance, and t is time.

What factors affect the velocity of a rolling ball?

The velocity of a rolling ball can be affected by several factors, such as the mass and shape of the ball, the surface it is rolling on, and the force applied to the ball. Friction and air resistance can also impact the velocity of a rolling ball.

Why is the velocity of a rolling ball considered constant?

The velocity of a rolling ball is considered constant because its speed and direction do not change as long as the factors affecting it remain constant. This is known as uniform motion.

How can the velocity of a rolling ball be measured?

The velocity of a rolling ball can be measured using various methods, such as using a stopwatch to time its movement over a known distance, or using sensors and computer software to track its motion. The chosen method will depend on the precision and accuracy required for the specific experiment or application.

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