Abbey and Mia are in the basement playing pool. On Abbey's recent shot, the cue ball was moving east at 82 cm/s when it struck the slower 5-ball moving in the same direction at 24 cm/s. The 5-ball immediately speeds up to 52 cm/s. Determine the post-collision speed of the cue ball in cm/s.
Bailey is on the tenth frame of her recent bowling competition and she needs to pick up the last pin for a spare and the first place trophy. She rolls the 7.39 kg ball down the lane and it hits the 1.41 kg pin head on. The ball was moving at 7.9 m/s before the collision. The pin went flying forward at 1.7 m/s. Determine the post-collision speed of the ball.
An 108.0 kg boy and a 61.1 kg girl, both wearing skates face each other at rest on a skating rink. The boy and girl push each other, sending her eastward with a speed of 3.09 m/s. Determine the final velocity of the boy. Neglect friction.
Use existential and universal quantifiers to express the
statement "Everyone has exactly two biological parents"
using the propositional function P(x, y), which represents
"x is the biological parent of y."
Express this statement using quantifiers: "Every student
in this class has taken some course in every department
in the school of mathematical sciences."
Two parallel rectangular surfaces 1m ×2m are opposite to each other at
a distance of 4m, The surfaces are black and at 100°C and 200°C.
Calculate the heat exchange by radiation between the two surfaces
A bicycle has a momentum of 24 kg m/s. What momentum would the bicycle have if it had…
… twice the mass and was moving at the same speed?
Answer 1
… the same mass and was moving with one-half the speed?
Answer 2
… three times the mass and was moving with twice the speed?
Answer 3
… one-half the mass and was moving with twice the speed?
Answer 4
… the same mass and was moving with twice the speed?
Answer 5
… three times the mass and was moving with one-half the speed?
Instead of silver nitrate, what other salt could be used to differentiate fluoride from the heavier halides?
Propose an idea related to Artificial Intelligence (AI) and describe the idea with the learning outcomes of the course in detail
Use Raoult's Law and calculate the vapour and liquid compositions in equilibrium (in mole fractions, y and x) for the A-B components system using vapour pressure data measured at a pressure of 101.32 kPa as shown in Table 1 below. Draw the Temperature composition diagrams the Equilibrium distribution (x-y) plot as well.
Table 1: vapour pressure data measure
Temperature
60
78
86
92
96
101
Vapour pressure
Component A
101.325
132
156
178
195
235
Component B
0
58
68
78
88
101.325