long enough
An object moving at constant speed in a circle. Acceleration is rate of change of velocity, as velocity is speed in a certain direction, when moving in a circle an object's velocity is constantly changing, as its velocity is changing it is accelerating.
The velocity of a ball rolling down a hill will increase due to the acceleration caused by the pull of gravity. As the ball gains speed, its velocity will continue to increase until it reaches the bottom of the hill.
Not necessarily. If it's rolling in a straight line on a smooth and level floor, then the acceleration is as good as zero. But if the ball is rolling up a hill, or down a hill, or around the groove in a roulette wheel, or through grass and slowing down, then there's substantial acceleration.
Let's review some terms before we tackle this one. Speed is displacement per unit of time. We know 60 miles per hour is a speed. Velocity is speed with a direction vector associated with it. We know 60 miles per hour east is velocity. Acceleration is a change in velocity. That means if an object changes its speed or its direction or both, it is accelerating.If an object has a given velocity and it slows down or speeds up, it is accelerated. But if the same object changes direction without a change in speed, it is still experiencing acceleration. A force had to act on the object to change its direction, even though its speed didn't change. Thus, an object can accelerate even though it does not change speed.
If you push the ball to the right velocity in the same direction, it will continue moving in a straight line with the new velocity. If there are no other forces acting on it, it will maintain constant velocity due to inertia.
-- a car on cruise control rolling along at a constant speed on a straight section of highway -- a golf ball or squash ball rolling across the gym floor at a constant speed
An object moving at constant speed in a circle. Acceleration is rate of change of velocity, as velocity is speed in a certain direction, when moving in a circle an object's velocity is constantly changing, as its velocity is changing it is accelerating.
The net force will be zero only if the velocity is constant, which means acceleration is zero.
It just does, in the absence of other forces ( ie air and rolling resistance ), that is to say under ideal conditions, a constant force on a fixed mass will produce uniform acceleration (velocity change) acceleration ( (m/s)/s ) = force (newtons) / mass (kg)
The velocity of a ball rolling down a hill will increase due to the acceleration caused by the pull of gravity. As the ball gains speed, its velocity will continue to increase until it reaches the bottom of the hill.
Not necessarily. If it's rolling in a straight line on a smooth and level floor, then the acceleration is as good as zero. But if the ball is rolling up a hill, or down a hill, or around the groove in a roulette wheel, or through grass and slowing down, then there's substantial acceleration.
Let's review some terms before we tackle this one. Speed is displacement per unit of time. We know 60 miles per hour is a speed. Velocity is speed with a direction vector associated with it. We know 60 miles per hour east is velocity. Acceleration is a change in velocity. That means if an object changes its speed or its direction or both, it is accelerating.If an object has a given velocity and it slows down or speeds up, it is accelerated. But if the same object changes direction without a change in speed, it is still experiencing acceleration. A force had to act on the object to change its direction, even though its speed didn't change. Thus, an object can accelerate even though it does not change speed.
If you push the ball to the right velocity in the same direction, it will continue moving in a straight line with the new velocity. If there are no other forces acting on it, it will maintain constant velocity due to inertia.
The equation for the constant acceleration of a sphere rolling without slipping on a frictionless inclined plane is given by a = g * sin(theta) / (1 + (I / (m * r^2))), where a is the acceleration, g is the acceleration due to gravity, theta is the angle of the incline, I is the moment of inertia of the sphere, m is the mass of the sphere, and r is the radius of the sphere.
Only one thing can be acceleration; the changing velocity of any given object. That's what acceleration is. Acceleration is caused by a net force on the object.
Motion with constant velocity is motion without acceleration. That is, there is no force being applied to the object in motion. One could argue that the acceleration is constant in that case, but the constant value is zero. Now, general relativity tells us that gravity and acceleration are indistinguishable from each other for a point mass being affected by either (meaning that if you're accelerating, you cannot tell just by the effect of the force whether it's due to an actual force, F=ma, or another massive object causing gravitational attraction). So in some ways, one could argue that the force of gravity is identical to constant acceleration. The difference is that gravity is caused by the presence of mass which "warps" space-time, so the acceleration felt is actually caused not by a force acting directly on the object, but the object is moving at a "constant velocity" in the equivalent flat (non-warped) space-time, and due to the presence of another mass causing a gravitational attraction, acceleration is felt. Think of it as standing on the center of a mattress. Your weight causes the middle of the mattress to push down, and if you had something like a basketball sitting in the corner of the mattress, it would begin rolling toward you. In that example, the mattress is space-time, the basketball the body in motion, and you the mass causing gravitational attraction. In that sense, since the object would be moving at a constant velocity in a flat space-time (like the ball sitting still on the mattress), warping space-time does not apply a true force to the ball, the causes it to appear to accelerate nonetheless. This appearance is due not to a force acting directly on the ball, but acting on the space-time in which it inhabits.
The state of equilibrium of a rolling ball occurs when the forces acting on it are balanced, resulting in no acceleration. In this state, the ball will continue rolling at a constant speed in a straight line unless acted upon by an external force.