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Need to calulate velocity, KE, PE, and TE from table. 1.To calculate the kinetic

ID: 1718282 • Letter: N

Question

Need to calulate velocity, KE, PE, and TE from table.

1.To calculate the kinetic energy, the velocity of the ball needs to be known. From the given table, only position is provided. To find velocity, a method called the “leap-frog” method can be used to approximate the velocity using the position and time points just before and after:

x v=

t

The first velocity point has been done for you as an example:

                                                              x          x3 - x1             0.10 m- 0.00 m

                                                 v = =            =            = - 0.40 m/s

                                                              t           t3 - t1               0.496 s - 5.00 s

Time (s)

Ball Position (m)

Ball Velocity (m/s)

Potential Energy

(J)

Kinetic Energy

(J)

Total Energy

(J)

0.00

5.00

0.05

4.99

0.10

4.96

0.15

4.89

0.20

4.78

0.25

4.69

0.30

4.54

0.35

4.40

0.40

4.22

0.45

4.00

0.50

3.80

0.55

3.50

0.60

3.26

0.65

2.93

0.70

2.60

0.75

2.23

0.80

1.88

0.85

1.46

0.90

1.05

0.95

0.58

1.00

0.11

Time (s)

Ball Position (m)

Ball Velocity (m/s)

Potential Energy

(J)

Kinetic Energy

(J)

Total Energy

(J)

0.00

5.00

0.05

4.99

0.10

4.96

0.15

4.89

0.20

4.78

0.25

4.69

0.30

4.54

0.35

4.40

0.40

4.22

0.45

4.00

0.50

3.80

0.55

3.50

0.60

3.26

0.65

2.93

0.70

2.60

0.75

2.23

0.80

1.88

0.85

1.46

0.90

1.05

0.95

0.58

1.00

0.11

Explanation / Answer

Velocities are calculated as per the tabulated data. Kindly provide the value of mass, then only the energies can be calculated.

-0.40 -1.00 -1.80 -2.00 -2.40 -2.90 -3.20 -4.00 -4.20 -5.00 -5.40 -5.70 -6.60 -7.00 -7.20 -7.70 -8.30 -8.80 -9.40
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