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Chapter 2: Q46P (page 86)

A proton has mass1.7×10-27 kg. What is the magnitude of the impulse required to increase its speed from 0.990c to 0.994c?

Short Answer

Expert verified

The magnitude of the impulse required to increase its speed from 0.990c to 0.994c is 2.004×10-21Ns.

Step by step solution

01

Identification of the given data

  • The mass of a proton is 1.7×10-27 kg.
  • The initial speed of a proton is 0.990c
  • The final speed of a proton is 0.994c
02

Definition of Impulse

m,mass of the proton=1.7×10-27 kgv,final velocity=0.994c=0.994×3×108=2.982×108 m/su,initial velocity=0.990c=0.990×3×108=2.97×108 m/s

Impulse is the equivalent to the force as the change in momentum,

Impulse=mv−mu⋅⋅⋅⋅⋅⋅(1)

Substitute these values in Equation (1),

localid="1657118294846" Impluse=1.67×10-27 kg×2.982×108 m/s−1.67×10-27 kg×2.97×108 m/s=1.67×10-27×2.982×108−1.67×10-27×2.97×1081 kg⋅1 m1 s=2.004×10-21Ns

Hence,the magnitude of the impulse required to increase its speed from 0.990c to 0.994c is 2.004×10-21Ns.

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Most popular questions from this chapter

You hang a 10 kg mass from a copper wire, and the wire stretches by .

(a)If you suspend the same mass from two copper wires, identical to the original wire, what happens?

(b)If you suspend the same mass from a copper wire with half the cross-sectional area but the same length as the original wire, what happens?

(c)If you suspend the same mass from a copper wire with the same cross-sectional area but twice the length of the original wire, what happens?

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(1) A spring of stiffness 13 N/m, with relaxed length 20 cm, stands vertically on a table as shown in Figure 2.36. Use the usual coordinate system, with +x to the right, +y up, and +z out of the page, towards you. (a) When the spring is compressed to a length of 13 cm, what is the unit vector L^? (b) When the spring is stretched to a length of 24 cm, what is the unit vector L^? (2) A different spring of stiffness 95 N/m, and with relaxed length 15 cm, stands vertically on a table, as shown in Figure 2.36. With your hand you push straight down on the spring until your hand is only 11 cm above the table. Find (a) the vector L^, (b) the magnitude of L^, (c) the unit vector role="math" localid="1668490124469" L^, (d) the stretch s, (e) the forcerole="math" localid="1668490004012" F→ exerted on your hand by the spring.

A ball moves in the direction of the arrow labelled cin Figure 2.53The ball is struck by a stick that briefly exerts a force on the ball in the direction of the arrow labelled e. Which arrow best describes the direction of ∆p, the change in the ball's momentum?
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