The magnitude and direction of the object's displacement is 7 m and west direction respectively.
<h3>What is displacement?</h3>
The displacement of an object is the change in the position of the object. Displacement is a vector quantity because it has both magnitude and direction.
To find the sum of the vectors, we find the displacement of the vectors.
Initial position of the vector = 10 m east
final position of the vector = 3 m west
displacement of the vector = final position - initial position
displacement of the vector = 3 m - 10 m
displacement of the vector = - 7 m
magnitude of the displacement = 7 m
direction of the displacement = west
Thus, the magnitude and direction of the object's displacement is 7 m and west direction respectively.
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To attain equilibrium there should be net force on the body, so that the object will not be in motion. so for a body of wb, any weight will do as long as there is no external force that is applied to it. the only force that is acting on it is the weight which is going down, and the normal force which is going up, to counter act the weight. and the net force is zero.
We have that the Average Force is given
Avg F=2.0488N
From the question we are told
Masses=
0.10
0.25
0.40
0.50
0.60
0.75
1
1.5
2
Accelerations
9.5
4.2
2.3
2.1
1.7
1.3
1.1
0.7
0.5
Generally the equation for the Mean is mathematically given as
For Mass
For Acceleration
Since Average Acceleration and mass are found above
Therefore
The Average Force is given as
Generally the equation for the Average Force is mathematically given as
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3. The sum of the players' momenta is equal to the momentum of the players when they're stuck together:
(75 kg) (6 m/s) + (80 kg) (-4 m/s) = (75 kg + 80 kg) v
where v is the velocity of the combined players. Solve for v :
450 kg•m/s - 320 kg•m/s = (155 kg) v
v = (130 kg•m/s) / (155 kg)
v ≈ 0.84 m/s
4. The total momentum of the bowling balls prior to collision is conserved and is the same after their collision, so that
(6 kg) (5.1 m/s) + (4 kg) (-1.3 m/s) = (6 kg) (1.5 m/s) + (4 kg) v
where v is the new velocity of the 4-kg ball. Solve for v :
30.6 kg•m/s - 5.2 kg•m/s = 9 kg•m/s + (4 kg) v
v = (16.4 kg•m/s) / (4 kg)
v = 4.1 m/s