Respuesta :
If the truck moves at same speed but twice as much mass, its momentum is increased twice.
Answer:
Explanation:
Momentum is defined as the force experienced by any object for a given time. In other words, it is the measure of the mass and velocity required for a certain motion. So it is determined as the product of mass and velocity of any object.
Momentum = Mass × Velocity.
As momentum is directly proportional to both mass and velocity, increase in any one of these two quantities keeping the other constant will lead to increase in the momentum.
So in the present case, it is stated as speed is kept constant and the mass is increased twice, then the momentum will also increase twice.
New momentum = 2 ×mass × velocity = 2 × old momentum
If the truck moves at same speed but twice as much mass, its momentum is increased twice.
The new momentum of the truck will be twice the original momentum of the truck if it moves at the same speed but has twice as much mass
The momentum of a body is defined as the product of the mass of a body and its velocity. Mathematically,
[tex]\rho_1 = m_1v[/tex]
m is the mass of the body
v is the velocity
If the truck moves at the same speed but has twice as much mass, then [tex]m_2=2m_1[/tex]
The new momentum will be expressed as [tex]\rho_2 = 2m_1 v[/tex]
Divide both momentum expressions;
[tex]\frac{\rho_2}{\rho_1} =\frac{2m_1v}{m_1v}\\ \frac{\rho_2}{\rho_1} =2\\\rho_2 = 2\rho_1[/tex]
This shows that the new momentum of the truck will be twice the original momentum of the truck if it moves at the same speed but has twice as much mass.
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