1.A 910 kg racecar starts from rest and reaches a speed of 25.1 m/s in 0.48 s.
a)What is the average acceleration of the racecar during this time period?
b)What is the magnitude of the net force on the racecar?
for a) I know:
Mass= 910kg
V=25.1m/s
T=0.48s
and I know to find A= F/M
How do I find the Force to that I can find the Force so that I can find acceleration?
for b) I have no idea about magnitude.
Can anyone please explain this to me? I don't just want the answer and I want to know how to do this. Thank you!
a. V = Vo + a*t
V = 25.1 m/s
Vo = 0
t = 0.48 s.
Solve for a.
b. F = M*a
M = 910 kg
a = Value calculated in part a.
To find the average acceleration of the racecar during the given time period, you can use the formula:
Average acceleration (a) = Change in velocity (Δv) / Time interval (Δt)
Here, the change in velocity can be calculated as the final velocity (v) minus the initial velocity (u). Since the racecar starts from rest, the initial velocity (u) is zero.
Δv = v - u
= v - 0
= v
Therefore, Δv = v = 25.1 m/s.
Now, substitute the values into the formula:
a = Δv / Δt
= 25.1 m/s / 0.48 s
≈ 52.29 m/s^2
So, the average acceleration of the racecar during this time period is approximately 52.29 m/s^2.
Now, to find the magnitude of the net force on the racecar, you can use Newton's second law of motion, which states:
Net force (F) = mass (m) × acceleration (a)
Given:
Mass (m) = 910 kg
Acceleration (a) = 52.29 m/s^2 (from part a)
Substitute the values into the formula:
F = m × a
= 910 kg × 52.29 m/s^2
≈ 47490.9 N
So, the magnitude of the net force on the racecar is approximately 47490.9 N.