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.
The base areas quadruple and the curved surface doubles.
If the radius of a circle doubles, the circumference doubles, and so does the diameter.
The area also doubles.
The circumference also doubles.
The circumference also doubles.
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.
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, 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, 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 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.
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.
The base areas quadruple and the curved surface doubles.
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.
quadruple. Kinetic energy is directly proportional to the square of the velocity, so if the speed doubles, the kinetic energy will increase by a factor of 2^2 = 4.
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.
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.
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.