Truck and car collide, calculate magnitude of force on car from the truck

In summary, a car with a mass of 6.50×102kg and a truck with a mass of 3.15×103kg collided due to ice on the road. After 34.00ms, the car is exerting a force of 1.98671×105N on the truck. The task is to calculate the size of the force on the car from the truck at that time.
  • #1
evan b
10
0

Homework Statement



A car of mass 6.50×102kg and a truck of mass 3.15×103kg run into one another due to ice on the road. 34.00ms after the collision, the car is pushing on the truck with a force whose magnitude is 1.98671×105N. Calculate the size of the force on the car due to the truck at that time.
 
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  • #2
Hi evan b,

evan b said:

Homework Statement



A car of mass 6.50×102kg and a truck of mass 3.15×103kg run into one another due to ice on the road. 34.00ms after the collision, the car is pushing on the truck with a force whose magnitude is 1.98671×105N. Calculate the size of the force on the car due to the truck at that time.

What have you tried so far?
 
  • #3


I would first like to acknowledge that this is a concerning and potentially dangerous situation on the road. It is important for drivers to always be cautious and aware of their surroundings, especially in hazardous weather conditions.

Now, to calculate the magnitude of force on the car from the truck, we can use the formula F = m*a, where F is the force, m is the mass, and a is the acceleration. In this case, the acceleration is given by the change in velocity (34.00m/s) divided by the time (34.00ms), so a = 34.00m/s / 0.03400s = 1000m/s^2.

Plugging in the given values, we get F = (6.50×102kg)*(1000m/s^2) = 6.50×105N. This means that the size of the force on the car due to the truck at that time is approximately 6.50×105N. This force is significant and could potentially cause damage to both the car and the truck.

It is important to note that this calculation only gives us the magnitude of the force, not the direction. The direction of the force will depend on the direction of the collision and the relative velocities of the car and the truck. Further analysis and calculations would be needed to determine the exact direction of the force.

In conclusion, it is crucial for drivers to be cautious and follow safety precautions while driving, especially in hazardous weather conditions. Collisions between vehicles can result in significant forces that can cause damage and harm. As scientists, it is our responsibility to use our knowledge and expertise to understand and prevent such incidents.
 

1. What is the magnitude of force on the car from the truck in a collision?

The magnitude of force on the car from the truck in a collision depends on various factors such as the mass and velocity of the truck, the mass and velocity of the car, and the angle of collision. It can be calculated using the formula F = m x a, where F is the force, m is the mass, and a is the acceleration of the car.

2. How does the angle of collision affect the force on the car?

The angle of collision can greatly affect the force on the car in a truck and car collision. If the truck hits the car head-on, the force will be distributed evenly and the magnitude of force will be higher compared to a glancing collision where the force will be distributed over a larger area and the magnitude of force will be lower.

3. Is there a difference in the force on the car when it collides with a truck versus a car?

Yes, there is a difference in the force on the car when it collides with a truck versus a car. A truck has a larger mass and higher velocity compared to a car, therefore the force on the car in a collision with a truck will be greater.

4. How does the speed of the truck and car affect the force on the car?

The speed of the truck and car both play a significant role in determining the force on the car in a collision. The force increases with an increase in speed, as seen in the formula F = m x a. Therefore, a higher speed of both the truck and the car will result in a greater magnitude of force on the car.

5. Can the magnitude of force on the car be reduced in a truck and car collision?

Yes, there are certain measures that can be taken to reduce the magnitude of force on the car in a truck and car collision. These include implementing safety features in cars such as airbags and crumple zones, as well as following traffic rules and regulations to avoid collisions in the first place.

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