Answer:
4. 7.59276
Explanation:
Add up the x components:
Aₓ + Bₓ + Cₓ = 5 − 1.6 + 2.4 = 5.8
Add up the y components:
Aᵧ + Bᵧ + Cᵧ = -2.4 + 3.3 + 4 = 4.9
Use Pythagorean theorem to find the magnitude:
√(x² + y²)
√(5.8² + 4.9²)
√57.65
7.59276
Answer:
α = 1930.2 rad/s²
Explanation:
The angular acceleration can be found by using the third equation of motion:

where,
α = angular acceleration = ?
θ = angular displacement = (1500 rev)(2π rad/1 rev) = 9424.78 rad
ωf = final angular speed = 0 rad/s
ωi = initial angular speed = (960 rev/s)(2π rad/1 rev) = 6031.87 rad/s
Therefore,

<u>α = - 1930.2 rad/s²</u>
<u>negative sign shows deceleration</u>
The correct option is A.
In physics, inertia has to do with Newton's first law of motion which states that an object will continue in its state of rest or in motion unless it is acted upon by a force. Thus, inertia refers to the tendency of an object to continue its motion in a straight line at constant velocity. In the question given above, the car that its brake failed would have continue moving indefinitely if it did not crash into another car, that is, it will continue in its state of motion.
- Static friction: when an object is not moving
- Kinetic friction: if an object is moving
- Rolling friction: when there is rolling (wheel,..)