A rope is attached to a block. The rope pulls on the block with a force of 240 N, at an angle of 40 degrees to the horizontal (t
his force is equal to the tension in the rope). What is the x-component of the force on the block due to the rope?
2 answers:
Answer:
The x-component of the force on the block due to the rope is 183.8 newtons
Explanation:
See the picture attached.
Because the force F on the block due the rope is applied at an angle of 40 degrees respect the horizontal, it has a component on x (Fx) and a component on y (Fy) we should find the x component. We should use trigonometric relations for right tringle. We need the equation that relates hypotenuse (F) and adjacent side (Fx), this relation is:
solving for Fx:
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Answer:
(a) 1500 m
(b) 2827.43m
Explanation:
Given that the time for one cycle of the swing is 1 s
The radius of the swing, R= 3.0m
The angle covered, \theta, by each swing is a quarter of the circle. i.e.
Speed of running of women =5 m/s.
Time of running = 5 minutes= 5 x 60 secondes= 300 s.
(a) As distance= (speed) x (time)
So, the required distance= 5 x 300 m= 1500 m.
(b) As there are two swings in one cycle, so, the distance covered in one swing is the length of the circular shown in the figure.
As arc length, , where \theta is the angle, in radian, subtended by the arc at the center, and R is the radius of curvature of the arc.
So, the distance covered by the child in 1 swing .
In 1 cycle, there are 2 swings, so distance covered in 1 cycle .
Now, in 1 second there is 1 cycle, so in 5 minutes there will be 300 cycles.
So, the total distance covered by the child
.
