High School

What is the momentum of a 1.0 gram (001 kg) mass moving at 0.622 390.000 kg mis 790 kg m's 186,000,000 kg mis 240.000 kg m/s 0.00062 kg mis Question 15 [6 points) What the kinetic energy of a 10 gram mass moving 062c? 01.6 x 10" O2.4 x 10" 01.1 x 1024 ] O 12 Mev 09.0 x 10"] Question 16 17 points) The total energy of a moying neutron is times as kinetic energy. The mass of a neutron is 1.7 x 10 kg. How fast is the neutron molding 1.200 O2.893 0.117 00:553 O 283

Answer :

1. The momentum of the 1.0 gram mass moving at 0.622 kg m/s is 0.000622 kg m/s. 2. The kinetic energy of the 10 gram mass moving at 0.62c is approximately 1.555 x 10^15 J. 3. We have a contradiction, which means the initial assumption is incorrect. The total energy cannot be equal to the kinetic energy.

1: The momentum of an object can be calculated by multiplying its mass by its velocity. In this case, we have a 1.0 gram (0.001 kg) mass moving at 0.622 kg m/s. To find the momentum, we can use the formula:

Momentum = mass x velocity

Momentum = 0.001 kg x 0.622 kg m/s

Momentum = 0.000622 kg m/s

So, the momentum of the 1.0 gram mass moving at 0.622 kg m/s is 0.000622 kg m/s.

2: The kinetic energy of an object can be calculated using the formula:

Kinetic energy = 0.5 x mass x velocity^2

In this case, we have a 10 gram mass moving at 0.62c, where c is the speed of light (approximately 3 x 10^8 m/s). To find the kinetic energy, we need to convert the mass to kilograms and use the formula:

Kinetic energy = 0.5 x mass x velocity^2

Kinetic energy = 0.5 x 0.01 kg x (0.62 x 3 x 10^8 m/s)^2

Kinetic energy = 0.5 x 0.01 kg x (0.62 x 9 x 10^8 m/s)^2

Kinetic energy = 0.5 x 0.01 kg x (5.58 x 10^8 m/s)^2

Kinetic energy = 0.5 x 0.01 kg x 3.11 x 10^17 m^2/s^2

Kinetic energy = 1.555 x 10^15 J

So, the kinetic energy of the 10 gram mass moving at 0.62c is approximately 1.555 x 10^15 J.

3: The total energy of a moving neutron is five times its kinetic energy. The mass of a neutron is 1.7 x 10^-27 kg. To find the speed of the neutron, we can set up an equation:

Total energy = 5 x kinetic energy

The total energy is the sum of the kinetic energy and potential energy of the neutron. Since the potential energy is negligible in this case, we can assume the total energy is equal to the kinetic energy. Therefore:

Total energy = kinetic energy

5 x kinetic energy = kinetic energy

4 x kinetic energy = 0

We have a contradiction, which means the initial assumption is incorrect. The total energy cannot be equal to the kinetic energy.

Therefore, there is no valid solution for the given information.

To know more about kinetic energy:

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