What is the magnitude of the impulse

In summary, to increase the speed of a proton from 0.995c to 0.998c, a magnitude of impulse is required in the direction of motion. This can be calculated using the equations p=gamma*mass*velocity and gamma=1/sqrt(1-(v/c)^2). After correcting for a typo in the calculation, the correct value for the impulse can be obtained.
  • #1
magma_saber
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Homework Statement


A proton has mass 1.7 x 10-27 kg. What is the magnitude of the impulse required in the direction of motion to increase its speed from 0.995c to 0.998c?


Homework Equations


gamma=1/sqrt(1-(v/c)2)
p=gamma*mass*velocity


The Attempt at a Solution


(1.7 x 10-27 * 15.82 * 0.998 * 3x108) - (1.7 x 10-27 * 15.82 * 0.995 * 3x108)
 
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  • #2


Doesn't the gamma factor change quite a bit as well when you move from 0.995c to 0.998c?
 
  • #3


ya i accidentally typed 15.82 for the .995c but i ment to type 10.01. i tried that and its still wrong.

edit: never mind, i just put the values in the calculator wrong lol.
 

FAQ: What is the magnitude of the impulse

What is the definition of magnitude of the impulse?

The magnitude of the impulse is the measure of the change in momentum of an object caused by a force acting on it for a specific duration of time.

How is the magnitude of the impulse calculated?

The magnitude of the impulse can be calculated by multiplying the force applied to an object by the amount of time the force is applied for.

What unit is used to measure the magnitude of the impulse?

The magnitude of the impulse is measured in Newton-seconds (N·s) or kilogram-meters per second (kg·m/s).

What is the significance of the magnitude of the impulse in physics?

The magnitude of the impulse is important in physics because it helps to explain the change in an object's momentum, which is a fundamental concept in the study of motion and forces.

How does the magnitude of the impulse affect the motion of an object?

The greater the magnitude of the impulse, the greater the change in an object's momentum, resulting in a larger change in its velocity and direction of motion.

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