What is the relationship between linear momentum and force?

In symbols, linear momentum p is defined to be p = mv, where m is the mass of the system and v is its velocity. The SI unit for momentum is kg · m/s. Newton’s second law of motion in terms of momentum states that the net external force equals the change in momentum of a system divided by the time over which it changes.

What is the relationship between linear velocity and centripetal force?

A change in velocity is known as an acceleration. The change in velocity due to circular motion is known as centripetal acceleration. Centripetal acceleration can be calculated by taking the linear velocity squared divided by the radius of the circle the object is traveling along.

What’s the relationship between radius and centripetal force?

Centripetal force is perpendicular to velocity and causes uniform circular motion. The larger the F c , the smaller the radius of curvature r and the sharper the curve.

Does centripetal force change linear momentum?

Since during all the process the force (which is centripetal) is only responsible for changing the direction of the velocity the particle (it makes it move around a circle) and is always perpendicular to it, the magnitude of linear momentum should not change.

What is relation between kinetic energy and linear momentum?

Hence, the relation between the linear momentum and the kinetic energy is, p=√2m(K. E.) Additional Information: Momentum is directly proportional to the object’s mass and its velocity.

What is the relationship between motion and momentum?

If an object is in motion (on the move) then it has momentum. Momentum can be defined as “mass in motion.” All objects have mass; so if an object is moving, then it has momentum – it has its mass in motion.

What is the relationship between radius and velocity?

So if the radius increases velocity decreases , while radius decreases velocity increases . Inverse relation between velocity and radius.

What is the precise mathematical relationship between velocity and centripetal force?

v2. What is the precise mathematical relationship between velocity and centripetal force? Answer: The relationship between velocity and centripetal force is a nonlinear square relationship.

What is the relationship between centripetal force and centripetal acceleration?

The direction of a centripetal force is toward the center of curvature, the same as the direction of centripetal acceleration. According to Newton’s second law of motion, net force is mass times acceleration: net F = ma. For uniform circular motion, the acceleration is the centripetal acceleration—a = ac.

Is centripetal force inversely proportional to radius?

If the constant thing is its angular velocity, then centripetal force is proportional to the radius. If the thing which remains constant is the speed of the moving object, then the centripetal force is inversely proportional to the radius.

Why does momentum change in circular?

In a uniform circular motion, although the velocity of the body changes but the angular velocity of the body remains fixed. Where, m is the mass of the body, r is the radius of the circular path and v is the velocity of the body. Thus, the linear momentum of the body also changes every moment.

What is the relationship between centripetal force and radius?

And the law for centripetal force is: $$F = \\frac{mv^2}{r}$$. So there is an inverse relationship between the force and radius,and direct proportionality between the force and velocity. And that tells us if the velocity speeds up the force will be stronger and the radius well be smaller.

How do you find the slope of centripetal force?

The object mass : Centripetal force is directly proportional to the object mass at constant tangential velocity and radius of circular path. Slope = F / m = v² / r The tangential velocity : Centripetal force is directly proportional to square of the tangential velocity at constant radius of circular path and object mass. Slope = F / v² = m / r

What is the relationship between radius and radial velocity?

The explanation relates to the fact that the linear distance traveled around the edge of the circle is also proportional to the radius. Over all, the greater the radius of the circle, for the same radial velocity, the greater the force.

What are the factors affecting the centripetal acceleration?

Factors affecting the centripetal acceleration ( a ) : The tangential velocity : Centripetal acceleration is directly proportional to square of the tangential velocity at constant radius of the circular path . Slope = a / v² = 1 / r