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Chapter 16: Q20P (page 663)

What is the kinetic energy of a proton that is traveling at a speed of 3725 m/s ?

Short Answer

Expert verified

The kinetic energy of a proton is 1.16×10-20 J.

Step by step solution

01

Identification of the given data

The given data can be listed below as,

  • The travelling speed of a proton is, v=3725 m/s.
02

Significance of kinetic energy

The kinetic energy of a body mainly depends on two physical quantities: speed and mass of the body. If the speed of a heavy (large mass) body is more, then the body consists of large kinetic energy.

03

Determination the kinetic energy of a proton 

The relation of kinetic energy of a proton is expressed as,

(KE)p=12mpv2

Here,(KE)pis the kinetic energy of a proton, and mpis the mass of a proton whose value is 1.67×10-27 kg.

Substitute all the known values in the above equation.

(KE)p=121.67×10-27kg3725m/s2≈1.16×10-20kg.m2/s2≈1.16×10-20kg.m2/s2×1J1kg.m2/s2≈1.16×10-20J

Thus, the kinetic energy of the proton is 1.16×10-20 J.

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Most popular questions from this chapter

Question: In Chapter 6 we saw that the electric potential energy of a system of two particles is given by the equation Uel=14πε0q1q2r.

(a) What is the electric potential energy of two protons separated by a distance of 9nm9×10-9m? (b) What is the electric potential energy of a proton and an electron separated by the same distance?

Question: In a circuit there is a copper wire 40 cm long with a potential difference from one end to the other end of . What is the magnitude of electric field inside the wire?

What is the potential (relative to infinity) at location B, a distance h from a ring of radius a with charge –Q as shown in figure 16.94?

A proton moves from location A to location B in a region of uniform electric field, as shown in Figure 16.5. (a) If the magnitude of the electric field inside the capacitor in Figure 16.5 is 3500 N/C, and the distance between location A and location B is 3 mm, what is the change in electric potential energy of the system (proton + plates) during this process? (b) What is the change in the kinetic energy of the proton during this process? (c) If the proton is initially at rest, what is its speed when it reaches location B? (d) How do the answers to (a) and (b) change if the proton is replaced by an electron?

A rod uniformly charged with charge \( - q\) is bent into a semicircular arc of radius\(b\), as shown in Figure 16.97. What is the potential relative to infinity at location\(A\), at the center of the arc?
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