Answer:
The magnitude of the rate of change of the child's momentum is 794.11 N.
Explanation:
Given that,
Mass of child = 27 kg
Speed of child in horizontal = 10 m/s
Length = 3.40 m
There is a rate of change of the perpendicular component of momentum.
Centripetal force acts always towards the center.
We need to calculate the magnitude of the rate of change of the child's momentum
Using formula of momentum


Put the value into the formula


Hence, The magnitude of the rate of change of the child's momentum is 794.11 N.
a) 6.25 rad/s
The law of conservation of angular momentum states that the angular momentum must be conserved.
The angular momentum is given by:

where
I is the moment of inertia
is the angular speed
Since the angular momentum must be conserved, we can write

where we have
is the initial moment of inertia
is the initial angular speed
is the final moment of inertia
is the final angular speed
Solving for
, we find

b) 28.1 J and 35.2 J
The rotational kinetic energy is given by

where
I is the moment of inertia
is the angular speed
Applying the formula, we have:
- Initial kinetic energy:

- Final kinetic energy:

Since the two waves have equal amplitudes, if the crest of one wave
meets the trough of the other one, they'll add to produce a level of zero
at that location.
1. Confident in Reasoning: Douglas is truthful of his reasoning skills to yield good judgments.
2. Analytical: <span>Douglas is habitually alert to potential problems and vigilant in anticipating consequences and trying to foresee short-term and long-term outcomes of being primary care taker for his wife. </span>
Answer:
Explanation:
The resultant force F
where
is eastward force,
is force directed towards the North
F=62573.2 N
The magnitude of acceleration of sailboat is given by