Work and Kinetic Energy
Work is calculated by the dot product of what two variables?
Force and displacement
The greater the height of an object, the greater it's _________.
Potential energy
The motion of an object depends on its _____ as well as its _______. Momentum is a concept that describes this.
Mass, velocity
The angle the body has rotated through in a fixed coordinate system, which serves as a frame of reference.
angular position, θ
Energy is _______ in rolling motion without slipping. Energy is________ in rolling motion with slipping due to the heat generated by kinetic friction.
Conserved, not conserved
The work done against a force is the ______ of the work done by the force.
Negative
What is the relationship between Potential energy and Work?
The difference of potential energy is the opposite of the work done
When a force is applied on an object for some amount of time, the object experiences an______.
Impulse
The area under an angular velocity-vs.-time curve gives us?
Which rolls down an inclined plane faster, a hollow cylinder or a solid sphere? Both have the same mass and radius.
Solid sphere
The relationship between net work and kinetic energy is?
Net Work = change in KE
A ________ force is one for which the work done is independent of path. A _________ force is one for which the work done depends on the path.
An ________ collision is one that conserves kinetic energy. An ______collision does not conserve kinetic energy.
Elastic, inelastic
The total linear acceleration is the vector sum of the ___________ vector and the _________ vector.
centripetal acceleration, tangential acceleration
If you know the velocity of a particle, can we find the particle’s angular momentum?
No, we need the position.
Because the net force on a particle is equal to its mass times the derivative of its velocity, the integral for the net work done on the particle is equal to the change in the particle’s kinetic energy is called the ___________.
The work-energy theorem.
The change in the mechanical energy of a particle equals the work done on it by non-conservative forces is another form of the ________?
Work-energy theorem
The average location of the total mass of the object and traces out the trajectory dictated by Newton’s second law, due to the net external force.
Center of mass
This can be found by summing or integrating over every ‘piece of mass’ that makes up an object, multiplied by the square of the distance of each ‘piece of mass’ to the axis.
Moment of intertia
In the absence of external torques, a system’s total angular momentum is _______.
Conserved
Work is ________ of time, where as power is _______ of time.
Independent, dependent
For one-dimensional particle motion, in which the mechanical energy is constant and the potential energy is known, the particle’s position, as a function of time, can be found by evaluating an integral that is derived from the ___________.
Conservation of mechanical energy
In collisions in multiple dimensions, ________ is _________ in both directions simultaneously and independently.
momentum, conserved
This is the rotational analog to Newton’s second law of linear motion.
∑𝜏𝑖=𝐼𝛼
Systems containing both point particles and rigid bodies can be analyzed using __________.
Conservation of angular momentum