Answer:
Explanation:
force constant of spring k = force / extension
= 35.6 / 0.5
k = 71.2 N / m
angular frequency ω of oscillation by spring mass system
where m is mass of the body attached with spring
Putting the values
ω = 3.77 radian / s
The oscillation of the mass will be like SHM having amplitude of 0.5 m and angular frequency of 3.77 radian /s . Initial phase will be π / 2
so the equation for displacement from equilibrium position that is middle point can be given as follows
x = .5 sin ( ω t + π / 2 )
= 0.5 cos ω t
= 0.5 cos 3.77 t .
x = 0.5 cos 3.77 t .
Answer:
1) k = 52 N/m
2) E = 1.0 J
3) ω = 8.1 rad/s
4) v = 1.4 m/s
Though asked for a velocity, we can only supply magnitude (speed) because we don't have enough information to determine direction.
If it happens to be the first time it is at y = - 10 cm after release, the velocity is upward.
Explanation:
Assuming the initial setup is after all transients are eliminated.
kx = mg
k = mg/x = 0.8(9.8) / 0.15
k = 52.26666.... ≈ 52 N/m
E = ½kA² = ½(52)(0.20²) = 1.045333... ≈ 1.0 J
ω = √(k/m) = √(52 / 0.8) = 8.0829... ≈ 8.1 rad/s
½mv² = ½kA² - ½kx²
v = √(k(A² - x²)/m) = √(52(0.20² - 0.10²)/0.8) = 1.39999... ≈ 1.4 m/s
Answer:
<h3>Speed is the change in distance over time; velocity is speed plus direction</h3>
Explanation:
Speed is defined as the change in distance covered by a body with respect to time while velocity the change in displacement of a body with respect to time. Speed is a scalar quantity since it does not specifies direction while velocity is a vector quantity because it specifies both magnitude and direction.
Speed can only be equal to the velocity if it also specifies direction.
Based on the definition above, it can be concluded that speed is the change in distance over time and velocity is speed plus direction.
Answer:
They would be at where they are for hours after.
Explanation:
Although the motion of the water is appearing to be traveling East, making Johnny think that the wave is actually pushing on the boat East bound, what is really happening here is that the motion of the particles of water is actually moving up and down that propagate to the East. Therefore, the wave would only be pushing the boat up and down, not toward land.