What is the angular momentum of the projectile at highest point?
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What is the angular momentum of the projectile at highest point?
The momentum at the top is clearly the mass times the horizontal velocity, m*V*cos(PHI) where PHI is the original launch angle. The problem is with r. At the top, which is the axis, the r is clearly 0. So the angular momentum must be zero at the top.
What is angular momentum of projectile?
The angular momentum of particule relative to a point O varies with time as J = a + bt2, where a and b are constants vectors with both a and b perpendicular to each other . The moment of force τ relative to the point O acting on the particle when the angle between the vectors and is 40∘: Easy.
What is the highest point in a projectile?
apex
The highest point in any trajectory, called the apex, is reached when vy = 0. Since we know the initial and final velocities, as well as the initial position, we use the following equation to find y: v2y=v20y−2g(y−y0).
How do you find the angular momentum of a projectile?
The formula for determining the angular momentum of a projectile about the point of projection, when it reaches the highest point is L = mv 3sin 2θ cosθ /g, where m is the mass of the projectile, v the velocity with which it is projected, θ the angle of projection and g the acceleration due to gravity.
Is the momentum of a moving object constant?
An object with mass will have momentum. An object which is moving at a constant speed has momentum. An object can be traveling eastward and slowing down; its momentum is westward. Momentum is a conserved quantity; the momentum of an object is never changed.
How do you find the highest point?
The highest point in any trajectory, called the apex, is reached when vy=0. Since we know the initial and final velocities, as well as the initial position, we use the following equation to find y: v2y=v20y−2g(y−y0).
What is velocity highest point?
zero
At a projectile’s highest point, its velocity is zero.
What is the angle between the direction of velocity and acceleration at the highest point of a projectile path?
90°
So at the highest point, the direction of velocity is horizontal and the direction of acceleration is vertically downward, so the angle between the direction of velocity and acceleration at the highest point of a projectile path is 90°.
What is the angle between velocity and acceleration of particle performing uniform circular motion?
In a uniform circular motion, the angle between velocity vector and acceleration vector is always π/2.
Which object would have the most momentum?
more massive object
The momentum of an object varies directly with the speed of the object. Two objects of different mass are moving at the same speed; the more massive object will have the greatest momentum. A less massive object can never have more momentum than a more massive object.
Which could change the momentum of an object the most?
The momentum change is dependent upon the velocity change; the object with the greatest velocity change has the greatest momentum change. c.