A single photogate is programmed to start a timer when it is blocked, and stop t

Question

A single photogate is programmed to start a timer when it is blocked, and stop the timer when it is unblocked. A sphere with constant velocity passes through the photogate. Using the appropriate data in the table, determine the speed of the sphere as it passes through the photogate. Assume that the beam of the photogate is aligned such that the photogate will collect data based on the sphere's diameter. All work must be shown on the back of this page. Your work should include a diagram of when the timer begins and ends. What is the speed of the sphere in m/s ? A projectile is launched perfectly horizontally with a constant velocity. How much time in seconds will it take the projectile to fall a distance of 4 meters? A projectile is launched perfectly horizontally from a table height of 1.0 meters. How many meters will the projectile travel in the horizontal direction before it hits the floor, if its initial velocity is 4 m/s?

Explanation / Answer

1.solution

Speed is distance divided by time. Vs = D/t = 23*10-3 m / 0.005 sec = 4.6 m/s

2.solution

use the equation of motion i.e. s=ut+1/2at^2 (everything is in vertical components) now since it is a horizontal projectile, "u" in vertical = 0, t^2=2h/g but h = 23mm

t = 0.068 sec

3.solution

Time to fall 1.0 m: t = [2y/g] = 0.4517 sec

X = Vx*t = 1.8068 m

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