The acceleration of the object will be 10 m/s²
Step-by-step explanation:
Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other
- If y varies directly with x, then y ∝ x
- y = k x, where k is the constant of variation
For a moving object, the force acting on the object varies directly with the object's acceleration.
Assume that the force is F and the acceleration is a
∵ F ∝ a
∴ F = k a
∵ F = 20 newtons
∵ a = 4 m/s²
- Substitute these values in the equation above to find k
∵ 20 = k (4)
∴ 20 = 4 k
- Divide both sides by 4
∴ k = 5
- Substitute the value of k in the equation
∴ F = 5 a ⇒ equation of variation
∵ F = 50 Newtons
∵ F = 5 a
∴ 50 = 5 a
- Divide both sides by 5
∴ 10 = a
∴ a = 10 m/s²
The acceleration of the object will be 10 m/s²
Learn more:
You can learn more about variation in brainly.com/question/10708697
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Answer: -30
Step-by-step explanation:
5) k/35=3/7 : cross multiply
35*3=7k : simplify
105=7k : divide both sides of the equation by 7
k=15
6) 3/t=18/24 :cross multiply
18t=24*3 :simplify
18t=72 : divide both sides of the equation by 18
t=4
7) 10/8.4 = 5/m :cross multiply
10m=5 * 8.4 :simplify
10m=42 :divide both sides by 10
m=4.2
Celia is making cookies for her neighborhood. She plans to make 9 batches of 13 cookies, but she makes more cookie dough than she planned to and adds 6 cookies to each batch. After they bake, she takes them out of the oven and takes 7 cookies from each tray to keep for herself. How many cookies will be left to distribute among her neighbors?
Hope this helps!
