Concept explainers
(a)
Prove that the nonrelativistic particles obey the relation
(a)
Answer to Problem 9P
Equation
Explanation of Solution
Consider the CM frame. Draw the diagram showing direction of
Write the equation for kinetic energy of system in CM frame.
Here,
Consider the reaction in lab frame. Draw the diagram showing direction of
Consider the equation for momentum in lab frame.
Write the equation for momentum in lab frame.
Rewrite the above equation by substituting
Divide equation (II) by equation (I).
Write the expression for minimum kinetic energy from the calculation.
Conclusion:
Thus, the equation
(b)
Obtain the threshold energy for the alpha particle for the given reaction.
(b)
Answer to Problem 9P
Minimum energy required will be
Explanation of Solution
Write the equation to find the Q value.
Here,
Rewrite equation (III) by replacing
Conclusion:
Substitute
Substitute
Thus, the minimum energy required will be
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Chapter 14 Solutions
Modern Physics
- Part C Find the height yi from which the rock was launched. Express your answer in meters to three significant figures. Learning Goal: To practice Problem-Solving Strategy 4.1 for projectile motion problems. A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration. PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model. VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ. SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…arrow_forwardPhys 25arrow_forwardPhys 22arrow_forward
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