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The answer to the question is " no ", because neither of the permitted choices is correct.

Momentum = m V (mass times velocity)

There are no squares in that formula. Momentum is directly proportional to both mass and speed.

If mass is multiplied by 1/2 and speed is multiplied by 2, then the momentum is multiplied by

(1/2) x (2) = 1

The momentum doesn't change.

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Q: If the mass of a cart full of groceries decreases to half and its speed doubles does the momentum double or quadruple?
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If the mass of a cart full of groceries decreases to half and its speed doubles what happens to the momentum of the cart?

If the mass decreases to half, the momentum decreases by half. However, since the speed doubles, the momentum doubles again. Therefore, the net effect is that the momentum of the cart remains the same.


What happens to momentum when velocity doubles?

When velocity doubles, the momentum also doubles because momentum is directly proportional to velocity in a linear relationship. Momentum is equal to mass multiplied by velocity, so when velocity doubles, momentum will also double as long as the mass remains constant.


If the speed of a moving object doubles then what else doubles?

If the speed of a moving object doubles, the kinetic energy of the object also doubles. This is because kinetic energy is directly proportional to the square of the speed of an object (KE = 0.5 * m * v^2), so if the speed doubles, the kinetic energy will quadruple.


If mass doubles what happens to momentum?

If mass doubles, momentum also doubles as momentum is directly proportional to mass. This is because momentum is the product of an object's mass and its velocity, so if mass increases, momentum will increase as well.


When the rotational speed of a rotating system doubles its angular momentum?

When the rotational speed of a rotating system doubles, its angular momentum also doubles. This is because angular momentum is directly proportional to both the mass and the rotational speed of the system. Therefore, if the rotational speed doubles, the angular momentum will also double.


What happens to the momentum if the mass of the object increases?

If the mass of an object increases, its momentum also increases. Momentum is directly proportional to mass, so an increase in mass will result in a proportional increase in momentum, given that the velocity remains constant.


What happens to the surface area of a cylinder if the diameter of the base is doubled and the height is not changed?

The base areas quadruple and the curved surface doubles.


How about if the velocity is doubled but the mass remains the same?

If the velocity is doubled while the mass remains the same, the kinetic energy of the object will increase by a factor of four. This is because kinetic energy is proportional to the square of the velocity. The momentum of the object will also double as momentum is proportional to velocity.


A freight train rolls along a track with considerable momentum If it were to roll at the same speed but had twice as much mass it's momentum would be?

The momentum would be twice as much. Momentum is directly proportional to mass, so if the mass doubles while the speed remains the same, the momentum will also double.


If the mass of a moving object is doubled with no change in velocity what would be the change in momentum?

If the mass of a moving object is doubled with no change in velocity, the momentum of the object would also double. This is because momentum is directly proportional to mass (p = mv), so doubling the mass will result in a doubling of momentum as long as velocity remains constant.


When the mass of a moving object is doubled and its speed remains the same its momentum?

When the mass of a moving object is doubled and its speed remains the same, its momentum also doubles. Momentum is directly proportional to mass, so doubling the mass will result in a doubling of the momentum regardless of the speed.


How mass affects both angular and linear momentum?

Increasing mass affects both angular and linear momentum differently. For linear momentum, doubling the mass doubles the momentum if velocity remains constant. For angular momentum, increasing mass without changing the distribution around the axis of rotation affects angular momentum due to rotational inertia. In simple terms, the rotational speed would likely decrease to conserve angular momentum.