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#Measuring instantaneous velocity # photogate timer # projectile motion Q1-3 Tha

ID: 2304640 • Letter: #

Question

#Measuring instantaneous velocity

# photogate timer

# projectile motion

Q1-3 Thanks :)

In this experiment, you are going to measure the instantaneous velocity of an object 1. Method using photogate timer 2. Method using projectile motion Inclined plane Metal ball Photogate timer & computer interface Meter stick Small piece of wooden plate Retort stand and clamp Set squares & plumb bob Carbonless copy paper Single-sided and double-sided adhesive tape Graph paper (major grid size 1 cm X 1 cm) The setup of the experiment is shown in the following diagram. Photogate mounted on a small piece of wooden plate Figure 1. Experimental setup A ball is released from rest from an inclined plane. The ball travels a distance Lalong the inclined plane. The ball passes through a photogate timer at the bottom of the inclined plane with velocity Va- Immediately after passing through the photogate timer, the ball leaves the table and follows a projectile motion and lands on the floor at a distance D from the edge of the table. The level where the ball leaves the table is of height H from the floor.

Explanation / Answer

a) The velocities calculated can differ because of the change in the initial velocities of the ball arriving from different heights of the inclined plane. However after that the calculation is taking the projectile launch kind of problem. So the actual velocity in theory makes use of the experimental height h and H during the determination of the theoretical velocity of the fall from inclined plane and the velocity of the projectile from there on till ground. So we are to expect

Total Velocity=incline plane velocity+projectile velocity.

percentage error=(experimental-theoretical)/theoretical.

Now experimental is known. So finding the theoretical involves:

However, it is not enough to solve the inclined plane considered very ideally like a smooth inclined plane. It is experimental data that is under considereation. So the data available that needs to be considered is simply not sufficient. Firstly, there is friction and the case for theoretical matching is with rolling ball on a rough surface problem. Secondly the data that we are dealing doesnt consider ball drifting away from the center line on the inclided plane. So path deviation tells about energy loss for such tendency of the rolling ball.