Answer:
The displacement is 6.71 [m} and the angle is 63.4° to the north of east
Explanation:
Using a sketch showing Dante's displacement, we can find each of the points Dante moves through. First, it moves 4 blocks east, the new coordinate (4.0), then moves 3 blocks south and we will get the new coordinate (4, -3). Then Dante moves 1 block west, thus the new point is (3, -3). And finally it moves 9 blocks north where the new coordinate in and gets -3 - (-9) = + 6.
The displacement can be found using the equation for the straight line.
![d= \sqrt{(x_{1}-x_{0} )^{2} +(y_{1}-y_{0} )^{2} } \\d= \sqrt{(3-0 )^{2} +(6-0 )^{2} } \\\\d=6.71 [m]\\](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%28x_%7B1%7D-x_%7B0%7D%20%29%5E%7B2%7D%20%2B%28y_%7B1%7D-y_%7B0%7D%20%29%5E%7B2%7D%20%7D%20%5C%5Cd%3D%20%5Csqrt%7B%283-0%20%29%5E%7B2%7D%20%2B%286-0%20%29%5E%7B2%7D%20%7D%20%5C%5C%5C%5Cd%3D6.71%20%5Bm%5D%5C%5C)
We can realize that the triangle formed is a right triangle, therefore we can find the angle of the displacement.
![tan(a)=\frac{6}{3} \\a=tan^-1(2)\\a=63.4[deg]](https://tex.z-dn.net/?f=tan%28a%29%3D%5Cfrac%7B6%7D%7B3%7D%20%5C%5Ca%3Dtan%5E-1%282%29%5C%5Ca%3D63.4%5Bdeg%5D)
" 50 W " means " 50 Watts " or " 50 Joules per second ".
(500,002 J) / (50 J/sec) = <em>10,000.04 seconds</em>
(That's 2 hours 46 minutes 40.04 seconds.)
Answer:
a. 3.6 units
b. 1.4 units
c. 3.6 units
d. 6.1 units
Explanation:
The length of a vector is given by the following formula:
Length = √(x² + y²)
where,
x = x-component of vector
y = y-component of vector
a.
Here,
x = 2
y = 3
Therefore,
Length = √(2² + 3²)
Length = √13
<u>Length = 3.6 units</u>
<u />
b.
Here,
x = 1
y = 1
Therefore,
Length = √(1² + 1²)
Length = √2
<u>Length = 1.4 units</u>
<u />
c.
Here,
x = 2
y = -3
Therefore,
Length = √(2² + (-3)²)
Length = √13
<u>Length = 3.6 units</u>
<u />
d.
Here,
x = 1
y = -6
Therefore,
Length = √(1² + (-6)²)
Length = √37
<u>Length = 6.1 units</u>
A) because it is an element.
Explanation: usually when they say pure substance they mean pure element.
Hope this helped!! :)
Answer:
T = 2490 newton
Explanation:
Given that,
Mass of a person, m = 50 Kg
Speed of the swing at the lowest point, v = 10 m/s
Length of the rope, r = 2.5 m
Tension formula is given by
T = mg + ma N
where, T - Tension in the string
m - mass of the body
g - acceleration due to gravity
a - acceleration of the body
Since the person is swinging, the acceleration of the body is given by
a = v²/r m/s²
= 10/2.5 m/s²
a = 40 m/s²
Substituting in T
T = 50 Kg x 9.8 m/s² + 50 Kg X 40 m/s²
= 490 + 2000 Kg m/s²
T = 2490 newton
Therefore the tension in the rope is 2490 newton
