Table 1 Questions: A)Show the calculation to compute the time required for the b
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Question
Table 1 Questions:
A)Show the calculation to compute the time required for the ball to free fall from the height of the table top to the floor.
B)Show the calculation to compute the average horizontal displacement of the ball from the launching end of the ramp to the point on the floor at the initial impact of the ball for all trials.
C)Show the calculation to compute the average initial launch speed of the ball exiting the launching end of the ramp.
Table 2 Questions:
D)Show the calculation to compute the time required for the ball to free fall from the height of the table top of the top of the stacked tables or a bookshelf shelf to the floor.
E)Show the calculation to compute the horizontal displacement of the ball from the launching end of the ramp to the point on the floor at the initial impact of the ball.
F)Show all calculations that are required to obtain the average horizontal acceleration the ball experiences while on the ramp; assume the horizontal acceleration is uniform.
More Questions:
G) Determine the final horizontal velocity of the ball upon impact with the floor.
H)Calculate the final vertical velocity of the ball upon impact with the floor.
I)Calculate the magnitude of the final velocity vector of the ball upon impact with the floor.
J)Calculate the angle of the final velocity vector of the ball upon impact with the floor.
K)Fully explain, using one or more kinematics equations, the impact (increase, decrease, or remain the same) that doubling the mass of the ball would have on the initial launch speed of the ball exiting the launching end of the ramp.
Final Questions:
*I am including the procedure so you have some background information
Part I: Calculate the initial speed of a ball launched horizontally from the smoothly curved ramp at a known altitude (refer to Figure 1).
1) Secure the ramp on a table with a height between 0.50m and 0.75m such that:
A) the launching end of the ramp (lowest end of the ramp) is flush with the edge of the table, B) the launching end of the ramp is horizontal to the table top and floor, and
C) the ramp length is aligned with the vertical plane.
2) Measure the vertical displacement the ball will experience as it freefalls from the height of table top to the floor. Record the height in Table 1.
Note: This is the negative value of the height of the table top with respect to the floor.
3) Calculate the time required for the ball to free fall from rest from the height of the table top to the floor. Record the time in Table 1.
4) Let the variable x equal 1.
5) Place the ball at the loading end of the ramp (highest end of the ramp) such that the uppermost
point of the ball is aligned with the loading end of the ramp on the horizontal plane.
6) Release the ball from rest; do not impart an initial velocity on the ball.
7) Carefully mark the point on the floor at the initial impact of the ball.
8) Measure the horizontal displacement of the ball at the intersection of
A) the floor,
B) the vertical plane centered along the ramp length, and
C) the vertical plane perpendicular that is
1. perpendicular to the vertical plane centered along the ramp length and
2. perpendicular to the floor
measured a distance equal to the horizontal displacement calculated in step 5 from the launching end of the ramp.
Record the displacement in Table 1 in the appropriate row corresponding to trial x.
Note: Make sure to measure plumb with the launching end of the ramp and not the table legs.
9) Increment by one the variable x.
10) If the variable x is less than 5, repeat steps 5 - 10; otherwise, go to step 11.
11) Calculate the average horizontal displacement of the ball from the launching end of the ramp to
the point on the floor at the initial impact of the ball for all trials. Record the average horizontal
displacement in Table 1.
12) Calculate the average initial launch speed of the ball exiting the launching end of the ramp.
Record the average initial launch speed in Table 1.
2) Part II: Calculate the horizontal displacement of a ball launched horizontally from the same smoothly curved ramp used in Part I at a known altitude different from that used in Part I.
1) Secure the ramp to the table top of the top of the stacked tables or a bookshelf shelf that provides
a height at least 50% greater than the height used in Part I such that:
A) the launching end of the ramp (lowest end of the ramp) is flush with the edge of the top of
the stacked tables or a bookshelf shelf,
B) the launching end of the ramp is horizontal to the table top of the top of the stacked tables or
a bookshelf shelf and the floor, and
C) the ramp length is aligned with the vertical plane.
2) Measure the vertical displacement the ball will experience as it freefalls from the table top of the top of the stacked tables or a bookshelf shelf to the floor. Record the height in Table 2.
Note: This is the negative value of the height of the table top with respect to the floor.
3) Calculate the time required for the ball to free fall from rest from the height of the table top of the top of the stacked tables or a bookshelf shelf to the floor. Record the time in Table 2.
4) Use the average initial launch speed of the ball exiting the launching end of the ramp from Table 1 and record this value in Table 2.
5) Calculate the horizontal displacement of the ball from the launching end of the ramp to the point on the floor at the initial impact of the ball. Record the displacement in Table 2.
6) Place the center of the bottom of the cup at the intersection of
A) the floor,
B) the vertical plane centered along the ramp length, and
C) the vertical plane perpendicular to the vertical plane centered along the ramp length a
distance equal to the horizontal displacement calculated in step 5 from the launching end of the ramp.
Note: The bottom of the cup should have a diameter no less than 10 times the diameter of
the ball.
Note: The side of the cup should be less than 10 times the diameter of the ball; ideally, the
side of the cup should be as small as possible: 0 meters.
Note: Make sure to measure plumb with the launching end of the ramp and not the table legs.
7) Place the ball at the loading end of the ramp (highest end of the ramp) such that the uppermost point of the ball is aligned with the loading end of the ramp on the horizontal plane.
8) Release the ball from rest; do not impart an initial velocity on the ball.
9) Record the results of the experiment in Table 2.
Explanation / Answer
TABLE 1
(A) If we want to calculate the time for the free fall then let us consider that the distance from the top to the floor is
S.Hence we use kinematic equation
S = ut + 0.5at2
Where u is the initial velocity in y or vertical direction which should be taken Zero. t is the time of the motion
a is the acceleration whose value would be g
S = 0.5gt2
t = (2S/g)1/2
(B) The ball will follow the projectile path therefore ball will cover some horizontal distance
Let us say that the initial horizontal velocity is U . Since there is no acceleration in the horizontal direction , therefore
Horizontal displacement = Initial velocity*time = U*(2S/g)1/2
(C) For average we will simply take the average of all the values i.e sum of alll the values of the velocity and divide them by their number.
For e.g you have take 5 trials with different velocities
then Average = Sum of all velocities/5
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