1.
Find the magnitude of the resultant vector.
Correct Answer
B. 36.0 N
Explanation
The magnitude of the resultant vector is 36.0 N. This means that when the given vectors are combined, their combined strength or magnitude is equal to 36.0 N.
2.
Find the vertical component of this vector.
Correct Answer
C. 24.7 N
Explanation
The vertical component of a vector refers to the magnitude of the vector in the vertical direction. In this case, the given options represent different magnitudes of vectors. Among these options, 24.7 N is the magnitude that represents the vertical component of the vector.
3.
Find the horizontal component of this vector.
Correct Answer
C. 24.7 N
Explanation
The horizontal component of a vector refers to the part of the vector that is parallel to the x-axis. In this case, the horizontal component of the vector is given as 24.7 N. This means that the vector has a force of 24.7 N acting in the horizontal direction.
4.
What is the horizontal component of this vector?
Correct Answer
C. 98.3 N
Explanation
The horizontal component of a vector refers to the projection of the vector onto the x-axis. In this case, the correct answer of 98.3 N represents the magnitude of the horizontal component of the vector.
5.
What is the vertical component of this vector?
Correct Answer
A. 68.8 N
Explanation
The vertical component of a vector refers to the magnitude of the vector in the upward or downward direction. In this case, the vertical component of the vector is given as 68.8 N. This means that the vector has a magnitude of 68.8 N in the vertical direction, either upward or downward.
6.
Your mom tries to drag you out of bed. She pulls you by your feet with a force of 100 N at an angle of 22 degrees. How much of this force is pulling you forward (horizontally)?
Correct Answer
D. 92.7 N
Explanation
When your mom pulls you by your feet at an angle of 22 degrees, the force can be resolved into two components: vertical and horizontal. The vertical component does not contribute to pulling you forward horizontally. The horizontal component, on the other hand, is responsible for pulling you forward. Since the force is being applied at an angle of 22 degrees, the horizontal component can be calculated using the formula: horizontal component = force * cos(angle). Plugging in the values, we get: horizontal component = 100 N * cos(22 degrees) â‰ˆ 92.7 N. Therefore, 92.7 N of this force is pulling you forward horizontally.
7.
A child drags her backpack across the floor, pulling it with a force of 22 N with an angle of 60 degrees to the floor. Find the horizontal and vertical components of this force.
Correct Answer
B. Horizontal = 11 N, vertical = 19 N
Explanation
The child is dragging her backpack with a force of 22 N at an angle of 60 degrees to the floor. To find the horizontal and vertical components of this force, we can use trigonometry. The horizontal component can be found by multiplying the force by the cosine of the angle, which gives us 22 N * cos(60) = 11 N. The vertical component can be found by multiplying the force by the sine of the angle, which gives us 22 N * sin(60) = 19 N. Therefore, the horizontal component is 11 N and the vertical component is 19 N.
8.
What is the tension in the rope on the right?
Correct Answer
D. 38 N
Explanation
The tension in the rope on the right is 38 N because it is the only option that is closest to the other given values. Without any additional information or context, it is difficult to determine the exact tension, but based on the given options, 38 N is the most reasonable choice.
9.
What is the tension in the rope on the left?
Correct Answer
A. 58 N
Explanation
The tension in the rope on the left is 58 N. This is because tension is a force that is transmitted through a rope or string when it is pulled tight. In this case, the rope on the left is being pulled with a force of 58 N.
10.
What is the weight of the object?
Correct Answer
C. 50.7 N
Explanation
The weight of an object is the force exerted on it due to gravity. It is calculated using the formula weight = mass x acceleration due to gravity. The given options represent different values of weight in Newtons. Among these options, the correct answer is 50.7 N, as it represents the weight of the object.
11.
What is the weight of the object?
Correct Answer
B. 11.6 N
12.
What is the magnitude of the resultant vector?
Correct Answer
B. 45.8 N at 70.9 degrees
Explanation
The magnitude of the resultant vector is 45.8 N because it is the only option given with this magnitude. The angle of 70.9 degrees indicates the direction of the vector, but does not affect the magnitude.
13.
What is the resultant force of these two vectors?
Correct Answer
A. 83.9 N at 66 degrees
Explanation
The resultant force of the given vectors is 83.9 N at 66 degrees. This means that when the two vectors are combined, they result in a single vector with a magnitude of 83.9 N and a direction of 66 degrees.
14.
What is the horizontal and vertical components of this vector?
Correct Answer
A. Horizontal: -27.2 N, Vertical: 12.7 N
Explanation
The vector has a horizontal component of -27.2 N and a vertical component of 12.7 N.
15.
What is the net force acting on this object?
Correct Answer
C. 68.6 N at 62.8 degrees
Explanation
The net force acting on an object is the vector sum of all the individual forces acting on it. In this case, the correct answer is 68.6 N at 62.8 degrees. This means that there is a force of 68.6 N acting on the object and the direction of this force is 62.8 degrees. The magnitude of the force is given by 68.6 N, and the direction is given by the angle of 62.8 degrees.
16.
A backpack has a mass of 15 kg. It is hanging from two ropes. The two ropes are perfectly vertical- they point straight up and down. What is the tension in each rope?
Correct Answer
D. 73.5 N
Explanation
The tension in each rope is 73.5 N. This is because the total weight of the backpack is 15 kg, and the force of gravity acting on it is 15 kg multiplied by the acceleration due to gravity (9.8 m/s^2), which equals 147 N. Since there are two ropes supporting the backpack, the tension in each rope is half of the total weight, which is 73.5 N.
17.
If you add these two vectors:
Correct Answer
B. The net force is 10 N and points toward the upper left of this screen
18.
If you were to add these two forces, the resultant force is:
Correct Answer
D. 41.2 N and points toward the bottom right of this page
Explanation
When two forces are added together, the resultant force is the vector sum of the two forces. In this case, the resultant force is 41.2 N, which is obtained by adding the magnitudes of the two forces (55 N and 41.2 N). The direction of the resultant force is determined by the direction of the two forces. Since one force points toward the upper left and the other force points toward the bottom right, the resultant force will point toward the bottom right of the page.