Answer:
The force is 12 N
Step-by-step explanation:
* Lets explain how to solve the problem
- Direct variation is a relationship between two variables that can
Ā be expressed by an equation in which one variable is equal to a
Ā constant times the other
- If y ā x , then y = kx , where k is the constant of variation
* Lets solve the problem
- The force acting on the object varies directly with the object's
Ā acceleration
āµ The force is F in newtons and a is the acceleration is m/sĀ²
ā“ F ā a
ā“ F = ka
- To find k substitute F and a by the initial values of them
āµ A force of 10 N acts on a certain object, the acceleration of the
Ā object is 5 m/sĀ²
āµ F = 10 N when a = 5 m/sĀ²
āµ F = ka
ā“ 10 = k(5)
- Divide both sides by 5
ā“ K = 2
- Substitute the value of k in the equation
ā“ F = 2a
- Lets find the force when the acceleration is 6 m/sĀ²
āµ a = 6 m/sĀ²
ā“ F = 2(6) = 12
* The force is 12 N
