a compact car has mass 725 kg and is moving at 100 km/h.
a) find its momentum
b) at what velocity is the momentum of a larger car, mass 2175 kg., equal to that of the smaller car?
ALL y'all answers are wrong 😘 .
a) To find the momentum of an object, we use the equation:
momentum = mass x velocity
Given that the mass of the compact car is 725 kg and it is moving at 100 km/h, we need to convert the velocity from km/h to m/s before calculating the momentum.
To convert km/h to m/s, we divide the velocity by 3.6:
100 km/h ÷ 3.6 = 27.8 m/s (rounded to one decimal place)
Now we can calculate the momentum:
momentum = mass x velocity
momentum = 725 kg x 27.8 m/s
Calculating this, we get:
momentum = 20155 kg*m/s (rounded to three decimal places)
Therefore, the momentum of the compact car is approximately 20155 kg*m/s.
b) To find at what velocity the momentum of a larger car (mass = 2175 kg) is equal to that of the smaller car, we can set up the following equation:
momentum of larger car = momentum of smaller car
Using the momentum equation, we have:
mass of larger car x velocity of larger car = mass of smaller car x velocity of smaller car
Plugging in the given values:
2175 kg x velocity of larger car = 725 kg x 27.8 m/s
Now we can solve for the velocity of the larger car:
velocity of larger car = (725 kg x 27.8 m/s) ÷ 2175 kg
Calculating this, we get:
velocity of larger car = 9.297 m/s (rounded to three decimal places)
Therefore, the momentum of the larger car will be equal to the momentum of the smaller car when its velocity is approximately 9.297 m/s.