In the sport of parasailing, a person is attached to a rope being pulled by a boat while hanging from a parachute-like sail. A r
ider is towed at a constant speed by a rope that is at an angle of 19 ∘ from horizontal. The tension in the rope is 2300 N. The force of the sail on the rider is 30∘ from horizontal.What is the weight of the rider?
1 answer:
Answer:
W = 506.75 N
Explanation:
tension = 2300 N
Rider is towed at a constant speed means there no net force acting on the rider.
hence taking all the horizontal force and vertical force in consideration.
net horizontal force:
F cos 30° - T cos 19° = 0
F cos 30° = 2300 × cos 19°
F = 2511.12 N
net vertical force:
F sin 30° - T sin 19°- W = 0
W = F sin 30° - T sin 19°
W = 2511.12 sin 30° - 2300 sin 19°
W = 506.75 N
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Answer:
The true statement is:
"(C) The magnitude of the average velocity is equal to 30 m.p.h."
Explanation:
Given that a car travels 30 miles in 1 hour on a winding mountain road.
Let' check all the statements one by one:
(A) The magnitude of the total displacement is larger than the distance traveled.
Since the entire motion of the car is not exactly given in the question, so it is not possible to tell whether the magnitude of the total displacement is larger than the distance traveled or not.
Thus, this statement is not true.
(B) The magnitude of the average velocity is greater than 30 m.p.h.
The average velocity of an object is defined as the total displacement covered by the particle divided by the total time taken in covering that displacement.
Total distance covered by the car = 30 miles.
Total time taken by the car to cover this distance = 1 hour.
Therefore, the average velocity of the car for this time interval =
Thus, this statement is also not true.
(C) The magnitude of the average velocity is equal to 30 m.p.h.
As is cleared in part (B) section above, the average velocity of the car in the given time interval is 30 m.p.h.
Thus, this statement is true.
(D)The magnitude of the average velocity is less than to 30 m.p.h.
Since. the average velocity of the car is 30 m.p.h.
Thus, this statement is not true.
(E)The car traveled with a constant speed of 30 m.p.h.
The motion of the car on the mountain road is not thoroughly given in the question, so again it is not possible to tell whether the car traveled with a constant speed of 30 m.p.h. or not.
Thus, this statement is also not true.