Question

Fifteen identical particles have various speeds. One has a speed of 4.00 m/s, two have a speed of 5.00 m/s, three have a speed of 7.00 m/s, four have a speed of 5.00 m/s, three have a speed of 10.0 m/s and two have a speed of 14.0 m/s. Find (a) the average speed, (b) the rms speed, and (c) the most probable speed of these particles. (a) 7.53 m/s; (b) 8.19 m/s; (c) 7.00 m/s (a) 7.53 m/s; (b) 8.19 m/s; (c) 5.00 m/s (a) 6.80 m/s; (b) 8.19 m/s; (c) 5.00 m/s (a) 5.53 m/s; (b) 8.19 m/s; (c) 5.00 m/s (a) 7.53 m/s; (b) 6.19 m/s; (c) 5.00 m/s

Answer 1

second option 7.53, 8.19, 5.00 m/s

a Average speed Va z ç ni vi N where ni is the number of particles ewith speed vi 1x4.00 + 2 x S-00 + 3x7.00 tux S-00 + 3 x 10.0 +214.0 15 u.oot 10.0+ ol.0+ 20.0 + 30.0+ 28.0 کا 7.53 m/s b. sms speed Voms Ση, ν, < N 1x4.00 + 8x5.00² + 3x7.00² & ues-00² + 3x10.0² + 2x14.0² 15 16.00+ 50-00+ 747.00 + 100.00 + 300.00+ 392.00 15 67 8. 19 m/s. AS there are totally six partueles with speed 5.00 onts, it is the most probable speed. The speed ab ewhech highest oncember of particles are there is called most probable speed