Respuesta :
Answer:
The force on the car will become double.
Explanation:
Lets take
mass of the cart = m
Speed of the cart = v
Radius of the circular arc = r
We know that centripetal force given as
[tex]F=\dfrac{mv^2}{r}[/tex]
If the mass become double and all other quantity is constant
m ' = 2 m
Then force
[tex]F'=\dfrac{m'v^2}{r}[/tex]
[tex]F'=2\times \dfrac{mv^2}{r}[/tex]
We know that
[tex]F=\dfrac{mv^2}{r}[/tex]
Then the force become
F' = 2 F
The force on the car will become double.
If the mass of the cart was doubled the magnitude of the centripetal force acting on the cart would be doubled.
The centripetal force is a force that causes a change in velocity that undergoes motion in a circular path.
Centripetal force can be expressed by using the formula:
[tex]\mathbf{F_c = \dfrac{mv^2}{r}}[/tex]
where;
- m = mass of the cart
- r = radius of the circular path
- v = speed of the cart
Now, since F ∝ m, if the mass (m) is doubled, then the magnitude of the centripetal force acting on the cart will also be doubled.
Learn more about centripetal force here:
https://brainly.com/question/11324711?referrer=searchResults