Answer: A - a 60 kg deer moving west at a speed of 16.4 m/s
Momentum is defined as the product of an object's mass and velocity. Mathematically, it can be expressed as:
momentum = mass × velocity
To determine which object has the greatest momentum, we can calculate the momentum of each object using the given mass and velocity values and compare them.
A. Momentum of the deer = 60 kg × 16.4 m/s = 984 kg·m/s
B. Momentum of the elephant = 6300 kg × (−0.11 m/s) = −693 kg·m/s (Note: the negative sign indicates that the elephant is moving in the opposite direction to the positive direction)
C. Momentum of the soccer ball = 0.42 kg × 12 m/s = 5.04 kg·m/s
D. Momentum of the arrow = 0.03 kg × 150 m/s = 4.5 kg·m/s
Therefore, the object with the greatest momentum is the deer, with a momentum of 984 kg·m/s.