aaronb said:Homework Statement
A 68.6 kg archer stands at rest on frictionless ice and fires a 0.46 kg arrow horizontally. He fires and slides back -0.37m/s. He fires another arrow while he is still sliding that is going 76m/s. What will be his velocity after he fires the second arrow?
Homework Equations
m1v1f + m2v2f = -0.37
The Attempt at a Solution
I solved for v1f and plugged in the numbers to get
v1f = -.37/68.6 - .46(76)/68.6 = -.515
aaronb said:since the archer is moving -0.37m/s should I multiply that by the mass of the archer so I get momentum on the right side of the equation? The velocity of the first arrow is 54.8 m/s
Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and velocity. In other words, it is a measure of how difficult it is to stop an object from moving.
Momentum is calculated by multiplying an object's mass, measured in kilograms (kg), by its velocity, measured in meters per second (m/s). The equation for momentum is p = m * v, where p is momentum, m is mass, and v is velocity.
An isolated system is a physical system that does not exchange any matter or energy with its surroundings. This means that the total momentum of an isolated system remains constant, as there are no external forces acting on the system to change its momentum.
Momentum is directly related to Newton's Laws of Motion. According to Newton's First Law, an object will remain at rest or in motion at a constant velocity unless acted upon by an external force. This means that an object's momentum will remain constant unless acted upon by an external force. Additionally, Newton's Second Law states that the net force on an object is equal to its mass multiplied by its acceleration, which is essentially the change in momentum over time.
Yes, momentum can be transferred between objects. This is known as an elastic or inelastic collision. In an elastic collision, the total momentum of the system is conserved, meaning that the total momentum before and after the collision remains the same. In an inelastic collision, some of the kinetic energy is converted into other forms of energy, such as heat or sound, but the total momentum of the system is still conserved.