Chapter 11: Q. 67 (page 290)

A proton (mass 1 u) is shot toward an unknown target nucleus at a speed of $2.50 \times 10^{6}$ m/s. The proton rebounds with its speed reduced by 25% while the target nucleus acquires a speed of $3.12 \times 10^{5}$ m/s. What is the mass, in atomic mass units, of the target nucleus?

Short Answer

Expert verified

Mass of the target nucleus is 14.02u

Step by step solution

Step 1. Given information is :Mass of the proton = 1uSpeed of the proton = 2.50×106m/sSpeed acquired by Target Nucleus = 3.12×105m/s

We need to find out the mass of the target nucleus in atomic mass units.

Step 2. Applying Law of conservation of Momentum

As the Proton rebounds with some speed, We can assume the collision to be elastic.

Using Law of conservation of Momentum,

$m_{p} v_{p i} + m_{n} v_{n i} = m_{p} v_{p f} + m_{n} v_{n f} u . 2.5 \times 10^{6} m / s + 0 = (u) (- 0.75 \times 2.5 \times 10^{6} m / s) + m_{n} (3.12 \times 10^{5} m / s) m_{n} = \frac{1.75 \times 2.5 \times 10^{6} m / s}{3.12 \times 10^{5} m / s} u m_{n} = 14.02 u$

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A proton (mass 1 u) is shot toward an unknown target nucleus at a speed of $2.50 \times 10^{6}$ m/s. The proton rebounds with its speed reduced by 25% while the target nucleus acquires a speed of $3.12 \times 10^{5}$ m/s. What is the mass, in atomic mass units, of the target nucleus?

Short Answer

Step by step solution

Step 1. Given information is :Mass of the proton = 1uSpeed of the proton = 2.50×106m/sSpeed acquired by Target Nucleus = 3.12×105m/s

Step 2. Applying Law of conservation of Momentum

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A proton (mass 1 u) is shot toward an unknown target nucleus at a speed of 2.50×106 m/s. The proton rebounds with its speed reduced by 25% while the target nucleus acquires a speed of 3.12×105 m/s. What is the mass, in atomic mass units, of the target nucleus?

Short Answer

Step by step solution

Step 1. Given information is :Mass of the proton = 1uSpeed of the proton = 2.50×106m/sSpeed acquired by Target Nucleus = 3.12×105m/s

Step 2. Applying Law of conservation of Momentum

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Geometrical and Physical Optics

Astrophysics

Rotational Dynamics

Physical Quantities And Units

Fluids

Torque and Rotational Motion

Study anywhere. Anytime. Across all devices.

A proton (mass 1 u) is shot toward an unknown target nucleus at a speed of $2.50 \times 10^{6}$ m/s. The proton rebounds with its speed reduced by 25% while the target nucleus acquires a speed of $3.12 \times 10^{5}$ m/s. What is the mass, in atomic mass units, of the target nucleus?