Find the force necessary to stop a 900 kg jetta traveling at +25 m/s in a time of 5.0 seconds.
Impluse=changemomentum
force*time=mass*changeinV
force=900*25/5 N
To find the force necessary to stop the Jetta, we can use Newton's second law of motion, which states that the force acting on an object is equal to the object's mass multiplied by its acceleration.
Step 1: Calculate the acceleration of the Jetta.
The initial velocity of the Jetta is +25 m/s (positive because it is moving in the positive direction), and it comes to a stop in a time of 5.0 seconds. Therefore, the acceleration can be calculated using the equation:
acceleration = change in velocity / time
The change in velocity is from +25 m/s to 0 m/s, so the change in velocity is:
change in velocity = final velocity - initial velocity = 0 m/s - (+25 m/s) = -25 m/s
Plugging in the values into the equation:
acceleration = (-25 m/s) / (5.0 s) = -5 m/s^2
Step 2: Calculate the force required to stop the Jetta.
We can now use Newton's second law of motion to find the force required to stop the Jetta. The formula is:
force = mass * acceleration
Given that the mass of the Jetta is 900 kg and the calculated acceleration is -5 m/s^2, plugging in the values into the equation:
force = (900 kg) * (-5 m/s^2) = -4500 N
Therefore, the force necessary to stop the 900 kg Jetta traveling at +25 m/s in a time of 5.0 seconds is -4500 N (negative sign indicates that the force is opposing the motion).
To find the force necessary to stop a car, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In this case, the acceleration is the change in velocity divided by the time taken to stop.
First, we need to calculate the change in velocity. Since the Jetta is traveling at +25 m/s and we want it to come to a stop, the change in velocity would be (-25 m/s) - (+25 m/s) = -50 m/s.
Next, we can calculate the acceleration using the formula: acceleration = change in velocity / time taken. So, acceleration = (-50 m/s) / (5.0 s) = -10 m/s² (Note: the negative sign indicates deceleration or stopping)
Finally, we can calculate the force using Newton's second law of motion: force = mass × acceleration. Plugging in the values, force = (900 kg) × (-10 m/s²) = -9000 N.
Therefore, the force necessary to stop the 900 kg Jetta traveling at +25 m/s in a time of 5.0 seconds is -9000 Newtons (N). The negative sign indicates that the force acts in the opposite direction to the motion, which in this case is a deceleration or braking force.