Question

A 900 Kg car moving at 10 m/s takes a turn around a circle with a radius of 25.0 m. Determine the acceleration and net force acting upon the car.

Answer 1

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Explanation:

When the car turns around circle, it experiences centripetal acceleration,

a=v²/r

=100/25

which gives: 4m/s²

Net force acting upon the car,

F=ma

=900×4

F=3600N

Answer 2

Given:

A 900 Kg car moving at 10 m/s takes a turn around a circle with a radius of 25.0 m.

To find:

• Net acceleration
• Net force acting on the car

Calculation:

Here, the net acceleration is the Centripetal Acceleration while moving on the circular path:

$a_{c} = \dfrac{ {v}^{2} }{r}$

$\implies \: a_{c} = \dfrac{ {10}^{2} }{25}$

$\implies \: a_{c} = \dfrac{100}{25}$

$\implies \: a_{c} = 4 \: m/ {s}^{2}$

Now, centripetal force will be :

$F = 900 \times 4$

$\implies \: F = 3600 \: N$

So, acceleration is 4 m/s² and force is 3600 N.