Complete the Table below: The force that is applied to the wagon is from the han

Question

Complete the Table below:

The force that is applied to the wagon is from the hanging mass being acted on by gravity, so that F = m.g, where m is the hanging mass in kg and g is the acceleration due to gravity, 9.8 m/s2. Remember that the mass must be in kg for this calculation.

Calculate the Force applied (mg) and record it in column (2) of the table.

Calculate the average velocity of the wagon using Vave = 0.500 m/t, and record it in column (4) of the table.

Calculate the final velocity of the wagon using the relationship Vfinal = 2 Vave and record it in Column (5) of the table.

Calculate the acceleration of the wagon by dividing the Vf by the time and record it in column (6) of the table.

Calculate the acceleration of the wagon + hanging mass using a = F/(M + m) and record it in column (7) of the table. (This assumes a coefficient of friction = 0)

Mass of wagon = M = 200 g = 0.200 kg Distance (s) = 0.500 meters

(1)

Hanging

Mass

(2)

Force

Hanging

Mass

(3)

Time

(4)

Average

Velocity

(5)

Final

Velocity

Col (4)

(6)

a

wagon

Col (5)

(7)

a

system

Col (2)

0.010

0.025

0.050

0.075

(1)

Hanging

Mass

kg

(2)

Force

Hanging

Mass

X 9.8

(3)

Time

seconds

(4)

Average

Velocity

0.500/Time

(5)

Final

Velocity

Col (4)

X 2

(6)

a

wagon

Col (5)

÷ Time

(7)

a

system

Col (2)

÷ (M+m)

0.010

1.463

0.025

0.958

0.050

0.714

0.075

0.611 0.100 0.553

Explanation / Answer

Mass of wagon = M = 200 g = 0.200 kg Distance (s) = 0.500 meters

(1)

Hanging

Mass

(2)

Force

Hanging

Mass

(3)

Time

(4)

Average

Velocity

(5)

Final

Velocity

Col (4)

(6)

a

wagon

Col (5)

(7)

a

system

Col (2)

0.010

0.025

0.050

0.075

(1)

Hanging

Mass

kg

(2)

Force

Hanging

Mass

X 9.8

(3)

Time

seconds

(4)

Average

Velocity

0.500/Time

(5)

Final

Velocity

Col (4)

X 2

(6)

a

wagon

Col (5)

÷ Time

(7)

a

system

Col (2)

÷ (M+m)

0.010

0.098 N 1.463 0.341 m/sec 0.628 m/sec 0.429 m/s2 0.527

0.025

0.245N 0.958 0.521 m/sec 1.042 m/sec 1.08 m/s2 1.325

0.050

0.49 N 0.714 0.7 m/sec 1.4 m/sec 1.96 m/s2 2.45

0.075

0.735N 0.611 0.818 m/sec 1.636 m/sec 2.67 m/s2 3.405 0.100 0.98 N 0.553 0.9041 m/sec 1.8082 m/sec 3.269 m/s2 4.249

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