Two guns A and B can fire bullets at speeds \( 1 \mathrm{~km} / \mathrm{s} \) and \( 2 \mathrm{~km} / \mathrm{s} \) respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is :
Added by Dolly
Close
Step 1
Step 1: For a projectile launched from height 0 with speed v at elevation angle θ, horizontal range R = (v^2 sin 2θ)/g; maximum range occurs at θ = 45° giving R_max = v^2/g. Show more…
Show all steps
Your feedback will help us improve your experience
Nishant Kumar and 70 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A shotgun fires a large number of pellets upward, with some pellets traveling very nearly vertically and others as much as $1.0^{\circ}$ from the vertical. Assume that the initial speed of the pellets is uniformly $150 \mathrm{m} / \mathrm{s},$ and ignore air resistance. (a) Within what radius from the point of firing will the pellets land? (b) If there are 1000 pellets, and they fall in a uniform distribution over a circle with the radius calculated in part (a), what is the probability that at least one
See Multiple-Concept Example 9 to review the approach used in problems of this type. Three guns are aimed at the center of a circle, and each fires a bullet simultaneously. The directions in which they fire are $120^{\circ}$ apart. Two of the bullets have the same mass of $4.50 \times 10^{-3} \mathrm{kg}$ and the same speed of 324 $\mathrm{m} / \mathrm{s}$ . The other buller has an unknown mass and a same speed of 324 $\mathrm{m} / \mathrm{s}$ . The bullets collide at the center and mash into a stationary lump. What is the unknown mass?
See Multiple-Concept Example 9 to review the approach used in problems of this type. Three guns are aimed at the center of a circle, and each fires a bullet simultaneously. The directions in which they fire are $120^{\circ}$ apart. Two of the bullets have the same mass of $4.50 \times 10^{-3} \mathrm{~kg}$ and the same speed of $324 \mathrm{~m} / \mathrm{s}$. The other bullet has an unknown mass and a speed of $575 \mathrm{~m} / \mathrm{s}$. The bullets collide at the center and mash into a stationary lump. What is the unknown mass?
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD