Finding the Magnitude of Normal Force

In summary, a motorcycle with a constant speed of 30.0 m/s and a mass of 333 kg passes over the top of a hill with a radius of curvature of 134 m. The centripetal force acting on the cycle is 2236.6N, calculated using the formula Fc=mv^2/r. To find the normal force, a free body diagram can be drawn and N = mg is used, where g represents the acceleration due to gravity. The net force can be found by listing all the forces and their directions, and then using the formula Fnet = m*acc.
  • #1
ny_aish
21
0
A motorcycle has a constant speed of 30.0 m/s as it passes over the top of a hill whose radius of curvature is 134 m. The mass of the motorcycle and driver is 333 kg.

a)Find the magnitude of the centripetal force that acts on the cycle.
(I found the Centripetal force by Fc=mv^2/r which is 2236.6N)

b)Find the magnitude of the normal force that acts on the cycle.
( I thought they are asking for F=ma for this which is wrong... any help?,)
 
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  • #2
Rather draw a free body diagram. The centripetal force you found is the net force.
 
  • #3
So N = mg
 
  • #4
How do you draw a free body diagram? List all the forces along their directions.
Then apply
Fnet = m*acc.
 

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 perpendicular to the surface and prevents the object from falling through or sinking into the surface.

2. How is the magnitude of normal force calculated?

The magnitude of normal force is calculated using the formula FN = mg*cos(θ), where m is the mass of the object, g is the acceleration due to gravity, and θ is the angle at which the object is placed on the surface.

3. What factors affect the magnitude of normal force?

The magnitude of normal force is affected by the mass of the object, the acceleration due to gravity, and the angle at which the object is placed on the surface. It is also affected by any external forces acting on the object, such as friction or air resistance.

4. Why is it important to find the magnitude of normal force?

The magnitude of normal force is important because it helps us understand the forces acting on an object and how they affect its motion. It is also necessary for calculating the net force and determining if an object is in equilibrium.

5. How can the magnitude of normal force be measured?

The magnitude of normal force can be measured using a force meter, a spring scale, or by using equations and known values. It can also be calculated indirectly by measuring the acceleration of the object and using Newton's second law of motion.

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