9514 1404 393
Answer:
1333.3 N
Step-by-step explanation:
The centripetal acceleration is given by ...
a = v^2/r
a = (100m/s)^2/(3 m) = (10^4)/3 m/s^2
Then the force on the ball is ...
F = Ma = (0.4 kg)(10^4)/3 kg·m/s^2 ≈ 1333.3 N
Answer:
x-intercept = 1/3, y-intercept = 1
Step-by-step explanation:
y = mx + b (general equation where m=gradient, b=constant)
-8 = 3m + b (from first pair of coordinates)
13 = -4m + b (from second pair of coordinates)
3m + b - (-4m + b) = -8 - 13
7m = -21
m = -3
Using one of the linear equations above:
-8 = 3(-3) + b
-8 = -9 + b
b = 1
Therefore, the linear equation is: y = -3x + 1
To find x-intercept:
Let y = 0
0 = -3x + 1
-1 = -3x
x = 1/3
To find y-intercept:
Let x = 0
y = -3(0) + 1
y = 1
Therefore the x-intercept = 1/3 and y-intercept = 1 for the line that passes through (3, -8) and (-4, 13)
Answer:
A = 5x^4
Step-by-step explanation:
They will need 2 5/12 more pounds to reach their goal.
<h3>Sum and difference of fractions</h3>
Given the following information as shown:
- Amount Blake collected = 6 1/3 pounds
- Amount his brother collected = 5 3/4 pounds
If their goal is to collect 14 1/2 pounds of food by the end of the month, the remaining food they need to collect will be expressed as:
y =14 1/2 - (6 1/3 + 5 3/4)
y = 14 1/2 - (19/3 + 23/4)
y = 29/2 - (76+69/12)
y = 29/2 - (145/12)
y = 174-145/12
y = 29/12
y = 2 5/12
Hence they will need 2 5/12 more pounds to reach their goal.
Learn more on sum and difference of fractions here: brainly.com/question/24205483
