Net force problem pretty simple

In summary, when Ian's weight is measured to be 646 N on the ground and 711 N on an elevator, the net force on the system (Ian and the elevator) can be calculated by using the equation Fnet = m(g + a), where m is the combined mass of 1050 kg and a is the acceleration of the lift. This can help determine if the calculations are on the right track.
  • #1
jayced
21
0
When on the ground, Ian's weight is measured to be 646 N. When Ian is on an elevator, his apparent weight is 711 N. What is the net force on the system (Ian and the elevator) if their combined mass is 1050 kg?

I know that Fnet is the sum of all forces. I don't have any examples of this problem so I just summed that Fnet=646N+711N+(1050kg x 9.8m/s)

Am I on the right track at all?

Should I be using another equation?

Thanx
 
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  • #2
Apparent weight in an accelerating lift is given by
Wapp = n(g + or - a), where a is the acceleration do the lift.
From the given values find the acceleration of the lift. From that find the net force on the system.
 
  • #3


You are on the right track! The net force is indeed the sum of all forces acting on the system. In this case, the forces involved are Ian's weight (mg) and the normal force from the elevator (N). When Ian is on the ground, the normal force is equal to his weight (646 N). When he is on the elevator, the normal force increases to 711 N because the elevator is accelerating upwards.

To find the net force on the system, we can use the equation Fnet = ma, where Fnet is the net force, m is the combined mass of Ian and the elevator (1050 kg), and a is the acceleration. We can rearrange this equation to solve for a:

a = Fnet/m

Plugging in the values, we get:

a = (711 N - 646 N)/1050 kg = 0.062 m/s^2

This means that the net force on the system is 0.062 m/s^2, acting upwards. This makes sense since the elevator is accelerating upwards, so there must be a net force acting in that direction.

Keep in mind that this is a simplified problem and in reality, there may be other forces at play (such as friction or air resistance) that would affect the net force. But for this specific scenario, your approach and equation are correct.
 

FAQ: Net force problem pretty simple

What is net force?

Net force is the overall force acting on an object, taking into account both magnitude and direction. It is calculated by adding together all the individual forces acting on the object.

How do you solve a net force problem?

To solve a net force problem, you must first identify all the forces acting on the object and their respective magnitudes and directions. Next, add together all the forces in each direction (e.g. all forces in the x-direction and all forces in the y-direction). Finally, use the Pythagorean theorem to find the resultant force and its direction.

What is the difference between net force and total force?

Net force takes into account the direction of the forces, while total force does not. Net force is the sum of all the forces acting on an object, while total force is simply the sum of all the magnitudes of those forces.

Can net force be negative?

Yes, net force can be negative. This means that the forces acting on an object are in opposite directions, resulting in a net force with a negative value. A negative net force can cause an object to slow down, change direction, or come to a stop.

How does mass affect net force?

Mass does not directly affect net force. However, a larger mass may require a larger net force to cause the same acceleration as a smaller mass. This is because of Newton's Second Law, which states that the acceleration of an object is directly proportional to the net force and inversely proportional to its mass.

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