Calculating Dragster Acceleration, Force, & Driver Force

In summary, a dragster with a mass of 873kg reaches a final velocity of 26.3 m/s in .59 seconds. The average acceleration of the dragster during this time interval is 44.6 m/s², and the magnitude of the average net force on the dragster is 3.9*10^4 N. With a driver mass of 68kg, the horizontal force exerted by the seat on the driver is 3.0*10^3 N. This is because the mass of the driver is not included in the mass of the dragster, and the force on the driver is equal to the product of his mass and the acceleration of the dragster.
  • #1
kashiark
210
0

Homework Statement


A 873kg dragster, starting from rest, attains a speed of 26.3 m/s in .59s.
a. Find the average acceleration of the dragster during this time interval.
b. What is the magnitude of the average net force on the dragster during this time?
c. Assume that the driver has a mass of 68kg. What horizontal force does the seat exert on the driver?

Mass = 873kg
Final velocity = 26.3 m/s
Final time = .59 seconds
Initial velocity = 0m/s
Initial time = 0 s

Homework Equations


average velocity = (Vf-Vi)/(Tf-Ti)
F=ma

The Attempt at a Solution


a. 26.3/.59= 44.6 m/s²
b. 873*44.6= 3.9*10^4 N
c. I'm not sure...
 
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  • #2
Part a and b seems correct, well done..

You already figure out the net force on dragster,
using F=ma.

Part c is the same deal, but
what do you think be sensible value to insert as m ?
Is it affected by the mass of the dragster?

You should be able to figure the answer
 
  • #3
Hmmm it's definitely affected by the mass of the dragster, but is the mass of the dragster including the mass of the driver? Perhaps 873-68= 805?
 
  • #4
Think about this situation,

If you are are having the same accelerating in a heavy vehicle and a light vehicle. In which vehicle you are going to feel a stronger force? or it is the same?
 
  • #5
I would think it would be the same; I'm thinking now that the force of the seat on him is really him hitting the seat? 68*44.6=3.0*10³?
 
  • #6
Yup, correct
 
  • #7
Thanks :)
 

1. What is dragster acceleration?

Dragster acceleration is the rate at which a dragster increases its speed over time. It is measured in meters per second squared (m/s²) or feet per second squared (ft/s²).

2. How is dragster acceleration calculated?

The formula for calculating dragster acceleration is a = (v2 - v1) / t, where a is acceleration, v2 is the final velocity, v1 is the initial velocity, and t is the time it takes to reach the final velocity.

3. What is the force acting on a dragster during acceleration?

The force acting on a dragster during acceleration is known as the net force or thrust force. It is calculated by multiplying the dragster's mass by its acceleration, using the formula F = ma. This force is what propels the dragster forward.

4. How does a driver's weight affect the overall force of a dragster?

A driver's weight does not directly affect the overall force of a dragster. However, it does impact the overall weight of the dragster, which can affect its acceleration. A heavier dragster will require more force to accelerate compared to a lighter dragster.

5. What are some factors that can affect a dragster's acceleration and force?

Some factors that can affect a dragster's acceleration and force include the dragster's weight, engine power, air resistance, and track conditions. Modifications to the dragster, such as changing the gears or adding a nitrous oxide system, can also affect its acceleration and force.

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