force = change in momentum/time = m a if m constant
Force * time = change in momentum
F * 5 = 1400 * 25
F = 1400 * 5 = 7000 Newtons
Force * time = change in momentum
F * 5 = 1400 * 25
F = 1400 * 5 = 7000 Newtons
First, let's calculate the acceleration of the car using the given information.
We know that the initial speed of the car is 25 m/s, and the time it takes to stop is 5.0 s. The final speed of the car when it stops will be 0 m/s, as it comes to a complete halt.
The acceleration of the car can be calculated using the equation:
acceleration (a) = (final velocity - initial velocity) / time
Substituting the values into the equation:
a = (0 m/s - 25 m/s) / 5.0 s
a = -25 m/s / 5.0 s
a = -5 m/s²
The negative sign indicates that the car is decelerating, or slowing down.
Now, let's calculate the force required to decelerate the car.
force (F) = mass (m) * acceleration (a)
Given that the mass of the car is 1400 kg, and the acceleration is -5 m/s²:
F = 1400 kg * (-5 m/s²)
F = -7000 kg·m/s²
The force required to stop the car is -7000 kg·m/s². The negative sign indicates that the force is in the opposite direction of the initial motion of the car.