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:
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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:
y = 60x + 20
Step-by-step explanation:
The number of hours that we ski is a variable cost where each hour costs $60. On top of that, we have a fixed cost of $20 which stays the same no matter how long we ski.
So we can use an equation to find the totla cost C given the number of hours t as follows:
C(t) = 60t + 20
We can use this equation to find the cost of a skiing session by plugging in some value for t. For example, if we ski for 3 hours:
C(3) = 60(3) + 20 = $200
The equation can also be written using x and y and mean the same thing.
Answer:
36 will be the measure.
Hope it helps!!!
Step-by-step explanation:
F(x) = x4(x2 - 1)
f(-x) = (-x)4((-x)2 - 1)
f(-x) = x4(x2 - 1)
from above explanation it is clear that the function is even.
