Help with magnitude of net force

In summary, the conversation is about finding the magnitude of the net force on a 1700kg car driving at 24m/s around a flat 220m-diameter circular track. The attempt at a solution using Fnet= mv^2/(r^2) has a mistake in it as the units do not match. Instead, centripetal force can be found by using the equation Fnet = mr(ω^2), where ω = v/r. The gravitational force should also be taken into account as one of the two components of the net force.
  • #1
Randy3463
2
0

Homework Statement



A 1700kg car drives around a flat 220m -diameter circular track at 24m/s .

Homework Equations



What is the magnitude of the net force on the car?

The Attempt at a Solution



1700 * (24^2)/(110^2)

i got 80.92561983 round to two sig-figs so 81 and idk why
 
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  • #2
Hello Randy3463,

Welcome to Physics Forums.
Randy3463 said:

Homework Statement



A 1700kg car drives around a flat 220m -diameter circular track at 24m/s .

Homework Equations



What is the magnitude of the net force on the car?

The Attempt at a Solution



1700 * (24^2)/(110^2)
You haven't listed any relevant equations.

What is the equation for centripetal force? (Hint: it's not F = mv2/r2. Whatever equation you used above has a mistake in it).

Also, don't forget about the gravitational force. That is one of the two components that make up the net force.
 
  • #3
collinsmark said:
Hello Randy3463,

Welcome to Physics Forums.

You haven't listed any relevant equations.

What is the equation for centripetal force? (Hint: it's not F = mv2/r2. Whatever equation you used above has a mistake in it).

Also, don't forget about the gravitational force. That is one of the two components that make up the net force.

i used Fnet= mv^2/(r^2)

Fnet = mrw^2(w=omega)
 
  • #4
Hello Randy3463,
Randy3463 said:
i used Fnet= mv^2/(r^2)
The above equation has a mistake in it.

You can see for yourself by checking the units. Force has units of Newtons in the SI system.

1 [N] = 1 [(kg m)/s2]

But the equation you used ends up with units of [kg/s2], which doesn't make much sense.
Fnet = mrw^2(w=omega)

And ω = v/r. So in terms of v, r, and m, what is centripetal force? (Hint: the r in mrω2 cancels out one r in ω2's denominator.)
 
  • #5


The magnitude of the net force on the car can be calculated using the formula F=ma, where F is the net force, m is the mass of the car, and a is the acceleration. In this case, the car is moving in a circular motion at a constant speed, so the acceleration is equal to v^2/r, where v is the speed and r is the radius of the circular track. Plugging in the given values, we get F=1700*(24^2)/(110/2)=8836.36N. This is the magnitude of the net force acting on the car. To round to two significant figures, we round up to 8840N. This net force is necessary to keep the car moving in a circular path at a constant speed.
 

1. What is net force?

Net force is the overall force acting on an object, calculated by combining all the individual forces acting on the object. It is a vector quantity, meaning it has both magnitude and direction.

2. How do you calculate the magnitude of net force?

To calculate the magnitude of net force, you can use the formula Fnet = ma, where Fnet is the net force, m is the mass of the object, and a is the acceleration. Alternatively, you can add up all the individual forces acting on the object and find the resultant force using vector addition.

3. What is the unit of measurement for net force?

The unit of measurement for net force is Newtons (N). One Newton is equal to 1 kg*m/s^2. This means that for every 1 kg of mass, a force of 1 Newton will produce an acceleration of 1 meter per second squared.

4. How does the direction of net force affect an object?

The direction of net force determines the direction in which an object will accelerate. If the net force is in the same direction as the object's motion, it will speed up. If the net force is in the opposite direction, it will slow down. If the net force is perpendicular to the object's motion, it will change the direction of its motion.

5. How can I use net force to predict an object's motion?

By calculating the net force acting on an object and knowing its initial velocity and mass, you can use Newton's second law of motion (Fnet = ma) to predict its acceleration. From there, you can use kinematics equations to determine its future position, velocity, and acceleration at any given time.

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