Pasco Scientific ME-6830 Instruction Manual

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Pasco Scientific ME-6830 Instruction Manual Manual pdf 13 page image

012-5375B Ballistic Pendulum/Projectile Launcher9®EQUIPMENT NEEDED:- Projectile Launcher and plastic ball- Plumb bob- meter stick- carbon paper- white paperPurposeThe purpose of this experiment is to predict and verify the range of a ball launched at an angle.The initial velocity of the ball is determined by launching it horizontally and measuring the rangeand the height of the launcher.TheoryTo predict where a ball will land on the floor when it is launched off a table at some angle abovethe horizontal, it is necessary to first determine the initial speed (muzzle velocity) of the ball. Thiscan be determined by launching the ball horizontally off the table and measuring the vertical andhorizontal distances through which the ball travels. Then the initial velocity can be used tocalculate where the ball will land when the ball is launched at an angle.➤➤➤➤➤ NOTE: For best results, see the notes on "Repeatable Results" in the Introduction.HORIZONTAL INITIAL VELOCITY:For a ball launched horizontally off a table with an initial speed, vo, the horizontal distancetravelled by the ball is given by x = v0t , where t is the time the ball is in the air. Air friction isassumed to be negligible.The vertical distance the ball drops in time t is given y = 12 gt 2The initial velocity of the ball can be determined by measuring x and y. The time of flight of theball can be found using:t = 2ygand then the initial velocity can be found using ν0 = xt .INITIAL VELOCITY AT AN ANGLE:To predict the range, x, of a ball launched with an initial velocity at an angle, θ, above the horizon-tal, first predict the time of flight using the equation for the vertical motion:y = y0 + v0 sinθ t – 12 gt 2where yo is the initial height of the ball and y is the position of the ball when it hits the floor. Thenuse x = v0 cosθ t to find the range.Setup➀ Clamp the Projectile Launcher to a sturdy table near one end of the table.➁ Adjust the angle of the launcher to zero degrees so the ball will be launched horizontally.Experiment 1: Projectile Motion