A 1700 kg car has a speed of 24 m/s. If it takes 7 s to stop the car, what is the impulse and the average force acting on the car?
Impulse: change momentum: 1700*24
force= impulse/time= 1700*24/7 Newtons
or
V = Vo + a*t = 0.
24 + a*7 = 0,
a = -3.43 m/s^2,
F = M*a = 1700 * (-3.43) = -
The negative sign means the force opposes the motion.
To find the impulse and average force acting on the car, we first need to understand the concepts of impulse and force.
Impulse can be defined as the change in momentum of an object. It is calculated by multiplying the force acting on the object by the time interval for which the force is applied.
The momentum of an object can be calculated by multiplying its mass by its velocity.
Now, let's calculate the impulse and average force by following these steps:
Step 1: Find the initial momentum of the car.
The initial momentum (p_initial) of the car can be calculated using the formula:
p_initial = mass * velocity
Given:
mass (m) = 1700 kg
velocity (v) = 24 m/s
Substitute the given values into the formula:
p_initial = 1700 kg * 24 m/s
Step 2: Find the final momentum of the car.
Since the car stops, the final momentum (p_final) will be zero.
p_final = 0
Step 3: Calculate the change in momentum.
The change in momentum (∆p) is calculated by subtracting the final momentum from the initial momentum:
∆p = p_final - p_initial
= 0 - (1700 kg * 24 m/s)
Step 4: Calculate the impulse.
The impulse (J) is equal to the change in momentum (∆p):
J = ∆p
Step 5: Calculate the average force.
The average force (F_avg) acting on the car is calculated by dividing the impulse by the time interval (t):
F_avg = J / t
Given:
time interval (t) = 7 s
Substitute the values into the formula:
F_avg = (∆p) / t
Now, let's calculate the impulse and average force.
Step 6: Calculate the impulse.
Substitute the value of ∆p into the impulse formula:
J = 0 - (1700 kg * 24 m/s)
Calculate the value of J.
Step 7: Calculate the average force.
Substitute the values of ∆p and t into the average force formula:
F_avg = (∆p) / t
Calculate the value of F_avg.
Thus, by following these steps, you can calculate the impulse and average force acting on the car.