If an object is allowed to free-fall under gravity, it will accelerate downwards at 9.8 metres per second per second (m s-2). This is equal to the standard gravity, symbol g, which on the surface of Earth has a value of around 9.8 newtons per kilogram (N kg-1) or 9.8 m s-2. Both units are equivalent.
This is because the acceleration of an object is given by the net force that acts on it (in newtons) divided by its mass (in kilograms). This is Newton's second law:
F = m a
So a = F / m
In the case of a free-falling object, the only force acting on the object is gravity, and the magnitude of this force is the mass of the object multiplied by standard gravity.
F = m g
So the acceleration a = g, the standard gravity.
On the other hand, consider an object at rest on a horizontal surface. The force of gravity still acts on the object, but it is being counteracted by an upward force provided by the surface, which is equal and opposite to the force of gravity.
An object on a slope is somewhere between these two. Part of the force of gravity is counteracted by an upward force provided by the slope, but the remainder causes the object to accelerate down the slope (assuming the object is round or slippery). In fact we need to resolve the force into its components by using trigonometry.
To answer the question, if the slope is at an angle theta (θ) to the horizontal, then the acceleration is given by:
a = g sin(θ)
If the slope is perfectly horizontal then θ = 0, and sin (0) = 0, so a = 0, and the object does not move.
No, the slope on a position-time graph represents the object's velocity, not acceleration. Acceleration would be represented by the slope of the velocity-time graph.
Acceleration.
The slope of a speed-time graph represents the acceleration of an object. A steeper positive slope indicates faster acceleration, while a negative slope indicates deceleration. A horizontal line indicates a constant speed with zero acceleration.
The slope of the instantaneous speed-vs-time graph represents the acceleration of the object. A positive slope indicates the object is accelerating in the positive direction, while a negative slope indicates acceleration in the negative direction. The steeper the slope, the greater the magnitude of the acceleration.
A graph that shows speed versus time is not an acceleration graph.The slope of the graph at any point is the acceleration at that time.A straight line shows that the acceleration is constant.
No, the slope of a speed-versus-time graph represents the rate of change of speed, not acceleration. Acceleration is represented by the slope of a velocity-versus-time graph.
The slope of a speed-time graph represents acceleration. A steeper slope indicates a greater rate of change in speed, which means higher acceleration. Conversely, a shallower slope indicates lower acceleration.
To find acceleration from a speed-time graph, you need to calculate the slope of the speed-time graph. The slope at any point on the speed-time graph represents the acceleration at that specific time. If the speed-time graph is linear, then the acceleration will be constant. If the speed-time graph is curved, you can find the acceleration by calculating the slope of the tangent line at a specific point.
The slope of a speed-time graph represents the acceleration of the object. A positive slope indicates acceleration in the positive direction, a negative slope indicates acceleration in the negative direction, and a zero slope indicates constant speed.
No, the slope on a position-time graph represents the object's velocity, not acceleration. Acceleration would be represented by the slope of the velocity-time graph.
Acceleration.
On speed-time graph can measure acceleration by getting the slope.
acceleration
No. The slope on a speed vs time graph tells the acceleration.
Speed is represented by the slope of a distance-time graph, where steeper slopes indicate faster speed. Acceleration is represented by the slope of a speed-time graph, where a steeper slope indicates a greater acceleration.
The slope of a speed-time graph represents acceleration. A steeper slope indicates a greater acceleration, while a horizontal line represents constant speed.
The slope of the speed-vs-time graph is the magnitude of acceleration.