Question

We know that the velocity of an object with mass has an upper limit of c. Is there an upper limit on its momentum? Its energy? Explain.

a) There is an upper limit on momentum; no limit on energy.

b) There is no limit on momentum; an upper limit on energy.

c) There is an upper limit on both momentum and energy.

d) There is no limit on both momentum and energy.

Answer 1

According to the theory of relativity, there is no upper limit on the momentum and energy of an object with mass. Therefore, the correct answer is d) There is no limit on both momentum and energy.

Step-by-step explanation:

According to the theory of relativity, the velocity of an object with mass has an upper limit of the speed of light, which is denoted as 'c'. However, there is no upper limit on the momentum of an object. Momentum is the product of an object's mass and its velocity, and as long as the object has mass, its momentum can increase without limit.

Similarly, there is also no upper limit on the energy of an object. Energy is determined by both the mass and the velocity of an object according to the equation E = mc^2. As long as the object has mass, its energy can continue to increase without a limitation.

Therefore, the correct answer is d) There is no limit on both momentum and energy.