CALCULATE THE HEIGHT OF THE BALL: From the data provided, calculate the height o
ID: 1436310 • Letter: C
Question
CALCULATE THE HEIGHT OF THE BALL:
From the data provided, calculate the height of the ball in the ballistic pendulum for each trial:
(Use the unit format shown or it will be scored wrong!)
1. Measure the mass of the ball, m, the mass of the pendulum block M, and the initial vertical position of the pendulum block h0.
2. Fire the ball, and measure the final vertical position of the pendulum block h1.
3. Make sure to take the measurement from the center of the block.
4. Find h by using (h1 – h0). Repeat the same procedure for FOUR more times.
5. Record your data, then find the average of h.
The mass of the ball, m: 65 grams
The mass of the pendulum block, M: 368 grams
The initial position of the block, h0: 7.0 cm
The first trial, h11: 9.8 cm
The second trial, h12: 10.0 cm
The third trial, h13: 9.9 cm
The forth trial h14: 9.8 cm
The average value for h1 is ¼(h11+ h12 + h13 + h14) :
The height for h is equal to h1 – h0:
CALCULATE THE PROJECTILE MOTION OF THE BALL:
From the data provided, calculate the projectile motion of the ball in the ballistic pendulum for each trial:
(Use the unit format shown or it will be scored wrong!)
1. Measure the vertical distance y that is from the ball to the floor.
2. Fire the ball without hitting the pendulum block.
3. Measure the traveling distance x by the ball.
4. Repeat the same procedure for FOUR more times. Record your data, and find the average of x.
The vertical position of the ball, y: 100 cm
X1 = 204 cm
X2 = 220 cm
X3 = 221 cm
X4 = 219 cm
The average value for X =?
CALCULATE THE VELOCITY OF THE BALLISTIC PENDULUM
From the data provided, calculate the velocity of the ballistic pendulum.
(Use the unit format shown or it will be scored wrong!)
Use mass of the ball, mass of the block, and the average value of h to calculate the velocity of the ball, v1=?
CALCULATE THE VELOCITY OF THE BALL
From the data provided, calculate the velocity of the ball.
(Use the unit format shown or it will be scored wrong!)
Use the value of y, and the average value of x to calculate the velocity of the ball, v2=?
Calculate the Percentage of Difference using the following relationship.
Use the value for Velocity #1 and the value for Velocity #2 you calculated from the lab.
Explanation / Answer
The average value for h1 is
¼(h11+ h12 + h13 + h14) = 1/4 ( 9.8 cm + 10.0 cm + 9.9 cm + 9.8 cm ) = 9.875 cm
The height for h is equal to
h1 – h0 = 9.875 cm - 7.0 cm = 2.875 cm
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The average value for X:
= 1/4 ( X1 + X2 + X3 + X4 )
= 1/4 ( 204 cm + 220 cm + 221 cm + 219 cm )
= 216 cm
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Find velocity of pendulm:
vp = [ ( 2 g ) ( h1 – h0 ) ] 1/2
vp = [ ( 2 ) ( 9.8 ) ( 0.02875 m ) ] 1/2
vp = 0.75 m/s
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Velocity of ball:
vb = [ ( mb +mp ) / mb ) ] vp
= [ ( 0.368 kg + 0.065 kg )/ 0.065 kg ] ( 0.75 m/s )
= 5.00 m/s
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