The 1205 kg physics dragster is traveing ay 35km(easy) when it hits the gas and accelerates at 12.5 m/s^2 for 3.25s. What is change in momentum during this time?
is the initial speed 35km/hr? change that to m/s
momentumchange=mass*(vf-vi)
vf=vi+at=12.5*3.25m/s+vi
vf-vi=12.5*3.25 m/s
BOB what i fail to understand is isnt Vf-vi=(12.5*3.25)-(9.722).
No
The CHANGE in speed is acceleration times time
12.5 * 3.25
That is all you need
The initial speed is not relevant.
momentum change = mass*change in velocity
= 1205*12.5*3.25 kg m/s
To calculate the change in momentum, you need to find the initial momentum (before acceleration) and the final momentum (after acceleration). The change in momentum can then be determined by subtracting the initial momentum from the final momentum.
1. Calculate the initial momentum:
The initial momentum of an object can be obtained by multiplying its mass (m) by its initial velocity (v).
Given:
Mass (m) = 1205 kg
Initial velocity (v) = 35 km/h = 35,000 m/3600 s = 9.72 m/s
Initial momentum (p_initial) = mass × velocity
p_initial = m × v
2. Calculate the final momentum:
To find the final momentum, you will need to calculate the final velocity (v_final) of the dragster after it has accelerated for 3.25 seconds. The final velocity can be determined using the following equation:
v_final = v_initial + a × t
Given:
Acceleration (a) = 12.5 m/s^2
Time (t) = 3.25 s
Substitute the values into the equation:
v_final = 9.72 m/s + 12.5 m/s^2 × 3.25 s
Calculate:
v_final = 9.72 m/s + 40.625 m/s = 50.345 m/s
Now, calculate the final momentum (p_final) using the formula:
p_final = m × v_final
3. Calculate the change in momentum:
The change in momentum (Δp) can be obtained by subtracting the initial momentum from the final momentum.
Δp = p_final - p_initial
Substitute the values:
Δp = (m × v_final) - (m × v_initial)
Calculate:
Δp = 1205 kg × 50.345 m/s - 1205 kg × 9.72 m/s
Δp = 60578.725 kg m/s - 11730.6 kg m/s
Δp = 48848.125 kg m/s
Therefore, the change in momentum during the acceleration is 48848.125 kg m/s.