Respuesta :
After solving the equation the mass of canoe is 36.3kg.
What is momentum principle?
First, according to the momentum principle, an object's momentum, which is determined by its mass and velocity, is changed by a net force. In physics, momentum is defined mathematically as the product of mass and velocity, as seen in the equation below:
p = m ×v
p = momentum, and m = mass.
velocity, or v
There is no unique symbol used exclusively for momentum when it comes to units. Instead, it is just the sum of the usual units for mass and velocity, respectively, kilogrammes (kg) and metres per second (m/s). Kilograms times metres per second (kg m/s) are the units used to measure momentum.
Mdog=M1=8.5Kg
Vi dog= Vi boat= V1=0m/s
Vf dog= Vf1=0.47m/s
Vf boat=Vf2=0.11m/s
Mboat=M2=?
The momentum is conserved and constant.
Δp=pf −pi=0
pf−pi =0
pf-pi
M1V1f + M2V2f= M1Vi + M2Vi
M1V1f + M2V2f= 0
M2V2f = - M1V1f
M2= -M1V1f÷V2f
= -8.5× -0.47÷0.11
=36.3Kg
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The mass of the canoe is 36.3Kg
Define mass of an object.
The amount of matter a thing contains, or its mass, is a measure of the object's inertial attribute. An object's weight is a measurement of the force of gravity acting on it or the force required to hold it up.
Mass of the dog:
M1 = 8.5kg
Velocity of the dog:
V1 = 0.47m/s
Velocity of the canoe:
V2 = −0.17 m/s
mass of canoe :
M2 ?
Since the dog and boat are initially at rest, their combined motion is zero.
When the dog paddles alongside the canoe, both the dog and the canoe reach their respective speeds. But because to momentum conservation, their overall momentum stays constant.
Δp=pf −pi=0
pf = pi
M1V1f + M2V2f= M1Vi + M2Vi
M1V1f + M2V2f= 0
M2V2f = - M1V1f
M2= -M1V1f÷V2f
= -8.5× -0.47÷0.11
=36.3Kg
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