If a car has a mass of 400 kg and a velocity of 30 m/s to the east, what is the magnitude of its momentum?
If a unit vector in the x or east direction is i, the y direction or north is j, and the z direction or up
is k, then:
momentum vector=12,000 i + 0 j + 0 k
magnitude = sqrt (12,000^2+0^2+0^2)
=12,000 kg m/s
To calculate the magnitude of momentum, you need to use the formula:
Momentum = mass × velocity
In this case, the mass of the car is given as 400 kg and the velocity is 30 m/s to the east.
Substituting these values into the formula:
Momentum = 400 kg × 30 m/s
Calculating the product:
Momentum = 12,000 kg·m/s
Therefore, the magnitude of the car's momentum is 12,000 kg·m/s.