Solving for Normal Force in a 1k kg Car on a Dip

In summary, a 1,000 kg car coasts into a slight dip in the road with a radius of 200-m. At the bottom of the dip, the car's speed is 10 m/s. To find the magnitude and direction of the normal force, use the equation Sum of f=ma to find acceleration and set it equal to the centripetal force, which is the resultant of the normal force and weight of the car. Solving for the normal reaction will give you the answer.
  • #1
briiannnaa04
12
0

Homework Statement


a 1,000 kg car coasts into a slight dip in the road. The radius of the dip is 200-m. At the bottom of the dip the speed of the car is 10 m/s.
what is the magnitude and dirrection of the normal force?


Homework Equations


Sum of f=ma to find acceleration.


The Attempt at a Solution


the acceleration would be .5 m/s/s so wouldn't it just be .5*1000
the answer says it should be 10300 though.
 
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  • #2
there is the normal force acting as well as weight. The resultant of these two provide the centripetal force, mv2/r
 
  • #3
so what steps do i take first?
 
  • #4
briiannnaa04 said:
so what steps do i take first?

Write down the resultant force in terms of the normal reaction and the weight
 

Related to Solving for Normal Force in a 1k kg Car on a Dip

1. What is normal force?

Normal force is the force exerted by a surface on an object that is in contact with it. It is always perpendicular to the surface and acts in the opposite direction of any external forces.

2. How do you calculate normal force?

To calculate normal force, you can use the formula FN = mg, where FN is the normal force, m is the mass of the object, and g is the acceleration due to gravity (9.8 m/s2 on Earth).

3. Why is normal force important in a car on a dip?

In a car on a dip, normal force is important because it is the force that prevents the car from sinking into the dip. Without enough normal force, the car would lose contact with the road and potentially lose control.

4. What factors affect the normal force in a car on a dip?

The main factor that affects normal force in a car on a dip is the weight of the car, since this determines the force of gravity pulling the car downward. Other factors that may affect normal force include the angle of the dip, the speed of the car, and the condition of the road surface.

5. How do you increase the normal force in a car on a dip?

To increase the normal force in a car on a dip, you can either increase the weight of the car or decrease the angle of the dip. This can be achieved by adding weight to the car or driving at a slower speed. It is important to note that increasing normal force also increases the force of gravity, so it is necessary to find a balance to ensure the car remains stable.

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