A spring has a spring constant k = 8. 75 n/m. if the spring is displaced 0. 150 m from its equalibirum position. what is the for
1 answer:
The force that the spring exerts is 1.31 N.
<h3>What is Spring force?</h3>- The displacement (compression or expansion) and force constant of the specific spring determine the spring's force.
- It always takes action to get mass back to where it should be for equilibrium.
- The force applied to the spring and the energy it has stored are shown in the formulas below:
F = kx
Where,
x = displacement in the spring
k = spring force constant
<h3>Calculation of spring force:</h3>Given,
k = 8.75 n/m
x = 0.150 m
Force exerted by the spring, F = kx
putting the values,
F = 8.75 x 0.150
= 1.3125 N
Hence, the force that the spring exerts is 1.31 N.
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Answer:
t= 0.68 s
Explanation:
- Neglecting air resistance, both balls are only under the influence of gravity, so we can use the kinematic equation for vertical displacement for both balls.
- First of all, we define two perpendicular axes, coincidently with horizontal and vertical directions, that we denote as x-axis and y-axis respectively.
- Assuming that the upward direction is the positive one, g must be negative as it always points downward.
- Taking the ground as our zero reference for the vertical axis (y axis), the equation for the ball thrown upward can be written as follows:
- As the second ball is dropped, its initial velocity is 0. Taking the height of the building as the initial vertical position (y₀), we can write the equation for the vertical displacement as follows:
- As the left sides of (1) and (2) are equal each other (the height of both balls above the ground must be the same), the time must be the same also.
- We can rearrange (2) as follows:
- Replacing the right side of (3) in (1), we get:
⇒
⇒ t = 0.68s
Answer:
7664.06249 N/m
Explanation:
m = Mass of mug = 0.5 kg
x = Compression of spring = 0.08 m
h = Height of fall = 5 m
g = Acceleration due to gravity = 9.81 m/s²
The kinetic energy of the spring and potential energy of the fall are conserved
The spring constant of the spring is 7664.06249 N/m