3. B
Hope this helps ..........................
Answer:
x=0, -5/3
Step-by-step explanation:
The magnitude of the final velocity of the cue ball is (B) 0.56m/s.
<h3>
What is Velocity</h3>
- The definition of velocity is a vector measurement of the rate and direction of motion.
- It is a moving body's speed and direction of motion.
How to calculate the magnitude of the final velocity?
The magnitude of the final velocity can be calculated by following the steps:
- The mass of the cue ball given is 0.4kg.
- The velocity of the cue ball given is +0.80m/s.
- The velocity of the striped ball before the collision is +0.38 m/s.
- The velocity of the striped ball after collision is +0.62m/s.
- We need to find the magnitude of the final velocity of the cue ball.
Assuming all pool balls have the same mass: 0.4kg
Let the final velocity of the cue ball be x.
Now, To find the final velocity:
- Mass of the cue ball × initial velocity of cue ball + Mass of striped ball + initial velocity of striped ball = mass of cue ball × final velocity + mass of striped ball × final velocity of the striped ball
- (0.40)×(0.80)+(0.4)(0.38) = (0.4)(x)+(0.4)(0.62)
- 0.32+0.152=0.4x+0.248
- 0.472=0.4x+0.248
- 0.472-0.248= 0.4x
- 0.224/0.4 =x
- x = 0.56m/s
Therefore, the magnitude of the final velocity of the cue ball is (B) 0.56m/s.
Know more about velocity here:
brainly.com/question/25749514
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The correct question is given below:
In a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. After the collision, the striped ball moves off at +0.62 m/s. What is the magnitude of the final velocity of the cue ball? Assume all pool balls have the same mass.
A. 0.20 m/s
B. 0.56 m/s
C. 1.0 m/s
D. 1.8 m/s
Answer:
The graph of f has an inflection point at x = 0.
Step-by-step explanation:
An inflection point occurs when the second derivative changes signs. Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.
Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of white tiles and y represent the number of black tiles.
Area of white tiles = 2 cm * 2 cm = 4 cm²
Area of black tiles = 2 cm * 3 cm = 6 cm²
She used twice as many white tiles as black tiles. Hence:
x = 2y (1)
Also, the finished pattern was 1092 square centimeters in area. Hence:
4x + 6y = 1092 (2)
From both equations:
x = 156, y = 78
Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²
Find out more on equation at: brainly.com/question/2972832
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