Answer: Total length is 15.7 centimeters.
Explanation:
The potential energy is modelled by applying Principle of Energy Conservation and Work-Energy Theorem:
The spring constant can be found by using Statics:
Where .
The total length is isolated from energy expression:
The given magnitude and direction of and , can be
expressed in terms of unit vectors, to give - .
Correct response:
- The component form of is
- The magnitude of is <u>1117.47 meters</u>
<h3>Which is the method used to find the displacement vector?</h3>
<em>The possible parameters obtained from a similar question posted online are;</em>
Magnitude of = 360 m
Direction of = 40° above the horizon
Magnitude of = 880 m
Direction of = Another 123° from
Required:
The displacement of the airplane, while the radar was tracking it, = -
Solution;
= 360 × cos(40°)· + 360 × sin(40°)·
= 880 × cos(123° + 40°)· + 880 × sin(123° + 40°)·
Which gives;
= (880 × cos(163°) - 360 × cos(40°))· + ((880 × sin(163°) - 360 × cos(40°))·
Which gives;
Therefore;
- In terms of unit vectors is, =
The magnitude of ≈ √((-1117.32)² + (-18.49)²) ≈ 1117.47
- Which gives the magnitude of the displacement, of the airplane is approximately <u>1117.47 meters</u>
Learn more about vectors here:
brainly.com/question/24855749
Answer:
1.44
Explanation:
0.1mm x 365 = 3.65mm
3.65mm into inches is 1.44
Answer:
11.408 joules
Explanation:
soln
From the question above
Mass of ball = m = 1.84kg
Height of ball when dropped = 1.49m
Height of ball when it bounces back up = 0.87m
Recall
Potential energy (P.E) = mass × height × g
Kinetic energy(K.E) = 1/2 × mass × (velocity)²
Mechanical energy = K.E + P.E
M.E lost = M.E when ball dropped – M.E when ball bounces back up
Recall that g = acceleration due to gravity = 10ms²
P.E/K.E when ball dropped = 1.84 × 1.49 × 10
P.E/K.E when ball dropped = 27.416J
P.E/K.E when ball bounces back = 1.84 × 0.87 × 10
P.E /K.Ewhen ball bounces back = 16.008J
Since P.E = K.E
M.E when ball dropped = 27.416J
M.E when ball bounces back = 16.008J
Therefore,
M.E lost = 27.416 - 16.008
M.E lost = 11.408Joules