calculate the impulse to stop a 1500kg car moving 90kmper hours
given:
v=90km/h=90*5/18=25m/s.
mass=1500kg.
solution;
impulse=1500*25=37500kgm/s
To calculate the impulse required to stop a 1500kg car moving at a speed of 90 km/h, we need to use the concept of impulse-momentum.
Step 1: Convert the car's speed from km/h to m/s.
To convert km/h to m/s, divide the speed by 3.6.
90 km/h / 3.6 = 25 m/s
Step 2: Calculate the initial momentum of the car.
Momentum (p) is given by the equation: p = mass (m) x velocity (v).
Plugging in the values, we have:
p = 1500 kg x 25 m/s = 37500 kg*m/s
Step 3: Calculate the final momentum of the car.
Since we are stopping the car, the final momentum will be zero.
Step 4: Calculate the change in momentum.
The change in momentum (Δp) is given by the equation: Δp = final momentum - initial momentum.
Plugging in the values, we have:
Δp = 0 - 37500 kg*m/s = -37500 kg*m/s
Step 5: Calculate the impulse.
Impulse (J) is given by the equation: J = change in momentum (Δp).
Plugging in the value, we have:
J = -37500 kg*m/s
Therefore, the impulse required to stop the 1500kg car moving at 90 km/h is -37500 kg*m/s.
To calculate the impulse needed to stop a car, we need to use the principle of conservation of momentum. Impulse is defined as the change in momentum, which is the product of mass and velocity.
Here are the steps to calculate the impulse:
1. Convert the velocity from km/h to m/s: Since the unit of mass is typically in kilograms and the unit of velocity is typically in meters per second, we need to convert 90 km/h to m/s. To do this, divide the velocity by 3.6, as there are 3.6 seconds in an hour. So, 90 km/h ÷ 3.6 = 25 m/s.
2. Calculate the initial momentum: The initial momentum is the product of the mass and the initial velocity of the car. Multiply the mass of the car (1500 kg) by the initial velocity (25 m/s). The initial momentum would be 1500 kg × 25 m/s = 37,500 kg·m/s.
3. Calculate the final momentum: The final momentum of the car, when it comes to a stop, is zero because it has no velocity. So, the final momentum is 0 kg·m/s.
4. Calculate the change in momentum (impulse): The impulse is the difference between the initial and final momentum. Subtract the final momentum from the initial momentum. The impulse required to stop the car is 37,500 kg·m/s - 0 kg·m/s = 37,500 kg·m/s.
Therefore, the impulse needed to stop the 1500 kg car moving at 90 km/h is 37,500 kg·m/s.
Convert 90 km/h to 25 m/s, and multiply that by the mass,in kg.
The impulse required equals the initial momentum. The units should be kg*m/s