Before answering each item, we need to review first about how the direction of the net force affects its sign. When the direction of the net force is going to the right or eastward or upward, this means that the sign is positive. When the direction of the net force is going to the left or westward or downward, this means that the sign is negative.
Now let us proceed to the calculations of each item.
1. The net force can be obtained by using the formula F1 + F2 + ... + Fn. Since F1 is 10 N and the direction is going to the left while F2 is 30 N and the direction is going to the right, then:
Fnet = F1 + F2 = -10 + 30 = 20 N
So the net force is 20 N. Using the formula a = F/m to solve for the acceleration:
a = 20 N/4 kg
a = 5 m/s²
Therefore, the acceleration is equal to 5 m/s².
2. Fnet = 4 N + 6 N = 10 N
All forces are positive because they are both moving towards right.
a = 10N/5 kg
a = 2 m/s²
Therefore, the acceleration is equal to 2 m/s².
3. Fnet = F1 + F2 = 180 + 140 = 320 N
Both forces are positive since they are going to the right.
Solving for the acceleration:
a = 320 N/40 kg
a = 8 m/s²
Therefore, the acceleration is equal to 8 m/s².
4. Fnet = F1 + F2 = 7 + (-17) = -10 N
17 N is negative since it is moving towards left.
a = -10 N/2kg
a = -5 m/s²
Therefore, the acceleration is equal to -5 m/s².
5. Fnet = -30 + 200 = 170 N
30 N is also negative because it is moving towards left.
Solving for a:
a = 170 N/100 kg
a = 1.7 m/s²
Therefore, the acceleration is equal to 1.7 m/s².
6. To solve for the force, we will use the formula: F = ma. The unit will be Newton or N which is also equal to kg•m/s².
To get the net force, we have to get the vector sum of all the forces that act upon an object. It is taking into account the magnitude of the force and the direction of the force. If for instance there are two equal forces acting on the object and in opposite directions, the force will cancel each other and will not cause any movement. Furthermore, to get the vector sum, we add the forces if they act on the object in the same direction. However, if the forces act in opposite directions, we subtract these for example.
Newton's Second Law of motion or Law of Acceleration
Newton's second law of motion or law of acceleration states that an object accelerates if there is a net force acting on the object. In fact, acceleration is directly proportional to the amount of force. Also, acceleration is affected by the object's mass. Specifically, the acceleration is inversely proportional to the mass. Mathematically, this can be expressed with the formula: a = . Rearranging this formula will give us the formula for force, which is F=ma. Unit of force is N (kg ), kg for mass, and for acceleration.
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LAW OF ACCELERATION APPLICATION
Answers with Explanation:
Before answering each item, we need to review first about how the direction of the net force affects its sign. When the direction of the net force is going to the right or eastward or upward, this means that the sign is positive. When the direction of the net force is going to the left or westward or downward, this means that the sign is negative.
Now let us proceed to the calculations of each item.
1. The net force can be obtained by using the formula F1 + F2 + ... + Fn. Since F1 is 10 N and the direction is going to the left while F2 is 30 N and the direction is going to the right, then:
Fnet = F1 + F2 = -10 + 30 = 20 N
So the net force is 20 N. Using the formula a = F/m to solve for the acceleration:
a = 20 N/4 kg
a = 5 m/s²
Therefore, the acceleration is equal to 5 m/s².
2. Fnet = 4 N + 6 N = 10 N
All forces are positive because they are both moving towards right.
a = 10N/5 kg
a = 2 m/s²
Therefore, the acceleration is equal to 2 m/s².
3. Fnet = F1 + F2 = 180 + 140 = 320 N
Both forces are positive since they are going to the right.
Solving for the acceleration:
a = 320 N/40 kg
a = 8 m/s²
Therefore, the acceleration is equal to 8 m/s².
4. Fnet = F1 + F2 = 7 + (-17) = -10 N
17 N is negative since it is moving towards left.
a = -10 N/2kg
a = -5 m/s²
Therefore, the acceleration is equal to -5 m/s².
5. Fnet = -30 + 200 = 170 N
30 N is also negative because it is moving towards left.
Solving for a:
a = 170 N/100 kg
a = 1.7 m/s²
Therefore, the acceleration is equal to 1.7 m/s².
6. To solve for the force, we will use the formula: F = ma. The unit will be Newton or N which is also equal to kg•m/s².
F = 8 kg (2 m/s²) = 16 kg•m/s² = 16 N
7. F = 5 kg (2 m/s²) = 10 N
8. F = 8 kg (8 m/s²) = 64 N
9. F = 200 kg (3 m/s²) = 600 N
Read more about the law of acceleration:
brainly.ph/question/180967
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Answer:
1. Net force: 20 N, left
acceleration: 5![\frac{m}{s^2} \frac{m}{s^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%5E2%7D)
2. Net force: 10 N, right
acceleration: 2![\frac{m}{s^2} \frac{m}{s^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%5E2%7D)
3. Net force: 320 N, right
acceleration: 8![\frac{m}{s^2} \frac{m}{s^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%5E2%7D)
4. Net force: 10 N, downward
acceleration: 5![\frac{m}{s^2} \frac{m}{s^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%5E2%7D)
5. Net force: 170 N, right
acceleration: 1.7![\frac{m}{s^2} \frac{m}{s^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%5E2%7D)
6. F = 16 kg
or 16 N
7. F = 10 kg
or 10 N
8. F = 64 kg
or 64 N
9. F = 600 kg
or 600 N
Explanation:
Net Force
To get the net force, we have to get the vector sum of all the forces that act upon an object. It is taking into account the magnitude of the force and the direction of the force. If for instance there are two equal forces acting on the object and in opposite directions, the force will cancel each other and will not cause any movement. Furthermore, to get the vector sum, we add the forces if they act on the object in the same direction. However, if the forces act in opposite directions, we subtract these for example.
Newton's Second Law of motion or Law of Acceleration
Newton's second law of motion or law of acceleration states that an object accelerates if there is a net force acting on the object. In fact, acceleration is directly proportional to the amount of force. Also, acceleration is affected by the object's mass. Specifically, the acceleration is inversely proportional to the mass. Mathematically, this can be expressed with the formula: a =
. Rearranging this formula will give us the formula for force, which is F=ma. Unit of force is N (kg
), kg for mass, and
for acceleration.
#BRAINLYFAST