## What is the relationship between 1 mass and acceleration?

Acceleration is inversely proportional to mass.

## Is acceleration and gradient the same?

Acceleration is still represented by the gradient. The gradient of speed-time and velocity-time graphs represent acceleration. The area under a speed-time graph represents the distance travelled. Likewise, the area under a velocity-time graph represents the displacement of the moving object.

**What is the slope of acceleration vs 1 mass?**

The slope of the acceleration vs. reciprocal of the mass of the system (1/Mass of System)is in the unit m/s2/1/kg. One can change this to say kg m/s2 which is also known as N. Therefore, the slope of the graph represents the net force acting on the cart.

**What is the relationship between the mass difference and the acceleration?**

Newton’s Second Law also states that the acceleration is inversely proportional to the mass. The acceleration of an object depends on the net applied force and the object’s mass. In an Atwood’s Machine, the difference in weight between two hanging masses determines the net force acting on the system of both masses.

### What is the relationship between mass and acceleration and force and acceleration?

Force (N) = mass (kg) × acceleration (m/s²). Thus, an object of constant mass accelerates in proportion to the force applied. If the same force is applied to two objects of differ- ent mass, the heavier object has less acceleration than the lighter object (Figure 1).

### Why is the relationship between mass and acceleration inversely proportional?

Since the mass does not change as the acceleration increases, we can say that force is equal to acceleration. Therefore, if you double the force you double the acceleration. If you increase the mass at a given force the rate of acceleration slows. Therefore, mass is inversely proportional to acceleration.

**How do you determine the mass of the system from the gradient?**

If force on the graph is plotted on the y-axis, and acceleration on the y-axis, then the slope would be the mass of the object. If the axises are switched, then the slope is the inverse of the mass. acceleration graph =Students determine the relationship between the acceleration and the force from the graph.

**How do you find the gradient of a Mass?**

- Newton’s second law is that F = ma (force = mass x acceleration).
- The gradient of a graph is calculated by dividing the change in y by the change in x.
- Assuming that you have your force on the y axis (vertical) and acceleration on the x axis (horizontal) :
- gradient = y/x = F/a = m (mass)

#### What does an acceleration vs 1 mass graph represent?

What does the slope of the acceleration vs. the inverse of the mass represent? The slope of the acceleration vs. the inverse of the mass graph represents the net force of the system.

#### What type of graph is acceleration vs mass?

The graph forms a hyperbola. It looks like you did an experiment where you applied the same force to a series of different masses and measured the acceleration. The formula that applies is F = ma or a = F/m. This is the same mathematically as y = k/x – a hyperbola.

**How do force mass and acceleration differ from each other?**

Force is a physical influence, which when applied to an object causes it to accelerate in the direction from which it was applied. Mass is the amount of matter in an object and is expressed in kilograms. Acceleration is the rate of change of velocity of an object in the same straight line of the unbalanced force.

**Does more mass mean more acceleration?**

Increasing force tends to increase acceleration while increasing mass tends to decrease acceleration. Thus, the greater force on more massive objects is offset by the inverse influence of greater mass.