Understanding Weight and Acceleration in a Moving Car

In summary, the weight of a person sitting in a car will remain constant when the car accelerates. However, the normal reaction force exerted by the chair on the person will change. There are two definitions of weight: "actual weight" and "apparent weight". The "actual weight" of an object is the force of gravity on the object, while the "apparent weight" is the sum of all other forces acting on the object. The "actual weight" of a person in a car does not change, but the "apparent weight" does change as the car accelerates. This can be seen by drawing a free body diagram and understanding the difference between "actual weight" and "apparent weight". Devices that measure
  • #1
NotPhysicsNinja
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I am just looking for some good explanations (or references) to a problem about acceleration. If a person is sitting in a car and the car accelerates then, conceptually, does the weight of the person pushing into the seat increase, decrease, or remain the same?

I extend my thanks to anyone that helps me out.
 
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  • #2
Welcome to the forums,

The weight (look up the definition of weight) will remain constant, however, the normal reaction force exerted by the chair on the person (and hence the person on the chair) will change. You could start by drawing a FBD in order to examine all the forces acting.
 
  • #3
There are two definitions of weight: "actual weight" and "apparent weight". The "actual weight" of an object is defined as the force on an object due to gravity. The "apparent weight" of an object is the sum of all forces on an object except for gravity. The "actual weight" of a person in a car does not change when the car accelerates. The "apparent weight" does change.

Since force is a vector, so is weight. For an object on the Earth, the "actual weight" vector approximately points toward the center of the Earth while the "apparent weight" points outward. Your bathroom scale (and any device that measures weight, such as an accelerometer) measures "apparent weight", not "actual weight". Actual weight is not measurable. It can only be inferred.
 

1. What is acceleration and how is it measured?

Acceleration is the rate of change of an object's velocity over time. It can be measured using the formula a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

2. What is the difference between acceleration and velocity?

Acceleration and velocity are closely related, but they are not the same. Velocity is the rate of change of an object's position over time, while acceleration is the rate of change of an object's velocity over time. In other words, velocity tells us how fast an object is moving and in what direction, while acceleration tells us how much an object's velocity is changing.

3. How do forces affect acceleration?

Forces can cause acceleration by changing an object's velocity. If a force is applied in the same direction as an object's velocity, the object's speed will increase and its acceleration will be positive. If a force is applied in the opposite direction of an object's velocity, the object's speed will decrease and its acceleration will be negative.

4. What is the relationship between mass and acceleration?

The relationship between mass and acceleration is described by Newton's Second Law of Motion, which states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. In other words, the greater the mass of an object, the more force is needed to accelerate it at a given rate.

5. Can an object have acceleration without a net force?

No, an object cannot have acceleration without a net force acting on it. According to Newton's First Law of Motion, an object at rest will remain at rest and an object in motion will continue moving in a straight line at a constant speed unless acted upon by a net force. In order for an object to accelerate, there must be a net force acting on it.

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