The addition of vectors involve both magnitude and direction. In this case, we make use of a triangle to visualize the problem. The length of two sides were given while the measure of the angle between the two sides can be derived. We then assign variables for each of the given quantities.
Let:
b = length of one side = 8 m
c = length of one side = 6 m
A = angle between b and c = 90°-25° = 75°
We then use the cosine law to find the length of the unknown side. The cosine law results to the formula: a^2 = b^2 + c^2 -2*b*c*cos(A). Substituting the values, we then have: a = sqrt[(8)^2 + (6)^2 -2(8)(6)cos(75°)]. Finally, we have a = 8.6691 m.
Next, we make use of the sine law to get the angle, B, which is opposite to the side B. The sine law results to the formula: sin(A)/a = sin(B)/b and consequently, sin(75)/8.6691 = sin(B)/8. We then get B = 63.0464°. However, the direction of the resultant vector is given by the angle Θ which is Θ = 90° - 63.0464° = 26.9536°.
In summary, the resultant vector has a magnitude of 8.6691 m and it makes an angle equal to 26.9536° with the x-axis.
Answer:
It is called a surface wave (rayleigh wave) that transmits its energy with the wind blowing onto its surface.Hope this helps
Answer:
False
Explanation:
The torque exerted by a force is given by:
where
F is the magnitude of the force
d is the distance between the point of application of the force and the pivot
is the angle between the directions of F and d
We see that the magnitude of the torque depends on 3 factors. In this problem, we have 2 forces of equal magnitude (so, equal F). Moreover, one of the forces (let's call it force 1) acts farther from the pivot than force 2, so we have
However, this does not mean that force 1 produces a greater torque. In fact, it also depends on the angle at which the force is applied. For instance, if the first force is applied parallel to d, then we have
and the torque produced by this force would be zero.
So, the statement is false.
Answer:
0.20
Explanation:
The box is moving at constant velocity, which means that its acceleration is zero; so, the net force acting on the box is zero as well.
There are two forces acting in the horizontal direction:
- The pushing force: F = 99 N, forward
- The frictional force: 
, backward, with
coefficient of kinetic friction
m = 50 kg mass of the box
g = 9.8 m/s^2 gravitational acceleration
The net force must be zero, so we have
which we can solve to find the coefficient of kinetic friction:
Based on the relative velocity of the man with respect to the boat and the dock:
- Distance covered in 4.0 seconds relative to the boat = 8 m
- Distance covered in 4.0 seconds relative to the dock = 56 m
<h3>What is relative velocity?</h3>
Relative velocity is the velocity of a body relative to another body which serves as a reference point.
Relative velocity is a vector.
Considering the velocity of the man and the boat:
The relative velocity of the man with respect to the boat = 2.0 m/s
Distance covered in 4.0 seconds relative to the boat = 2.0 m/s * 4.0 s
Distance moved = 8 m
Relative velocity of the man with respect to the dock = 12 + 2 = 14 m/s
Distance covered in 4.0 seconds relative to the dock = 14.0 m/s * 4.0 s
Distance moved = 56 m
In conclusion, the relative velocity is velocity with respect to a reference point.
Learn more about relative velocity at: brainly.com/question/24337516
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