A 800kg car collides with a 1500kg car that was initiall at rest at the origin o
ID: 1281881 • Letter: A
Question
A 800kg car collides with a 1500kg car that was initiall at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 30.0km/hr in a direction of 30degrees with respect to the positive x-axis. The heavier car moves at 33km/h at -45degrees with respect to the positive x axis. a) what was the initial speed of the lighter car in km/h? b) what was the initial direction?(as measured counterclockwise from the x-axis)
A 800kg car collides with a 1500kg car that was initiall at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 30.0km/hr in a direction of 30degrees with respect to the positive x-axis. The heavier car moves at 33km/h at -45degrees with respect to the positive x axis. a) what was the initial speed of the lighter car in km/h? b) what was the initial direction?(as measured counterclockwise from the x-axis)Explanation / Answer
x - component of 1500 kg car after collision
= (1500 kg)(33.0 km/h)cos(-45) = 35001.79 kg km/.h
x-component of 900 kg car after collision
= (900 kg)(30.0 km/h)cos(30) = 23382.69 kg km/h
Total x-component = 35001.79 kg km/h + 23382.69 kg km/h = 58384.48 kg km/h.
y-component of 1500 kg car after collision
= (1500 kg)(33.0 km/h) sin(-45) = -35001.79 kg km/h
y-component of 900 kg car after collision
= (1500 kg)(30.0 km/h)sin(30) = 13500 kg km/h
Total y-component = -35001.79 kg +13500 kg km/h = -21501.79 kg km/h.
Initial magnitude of momentum must be (since x- and y- axes are at right angles to each other)
?[(58384.48 kg km/h)
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.