Given the time, the final velocity and the acceleration, we can calculate the initial velocity using the kinematic equation A:
![v = v_o + a \Delta t](https://tex.z-dn.net/?f=v%20%3D%20v_o%20%2B%20a%20%5CDelta%20t)
A skateboarder flies horizontally off a cement planter. After a time of 3 seconds (Δt), he lands with a final velocity (v) of −4.5 m/s. Assuming the acceleration is -9.8 m/s² (a), we can calculate the initial velocity of the skateboarder (v₀) using the kinematic equation A.
![v = v_o + a \Delta t\\\\v_o = v - a \Delta t = (-4.5 m/s) - (-9.8 m/s^{2} ) \times 3 s = 24.9 m/s](https://tex.z-dn.net/?f=v%20%3D%20v_o%20%2B%20a%20%5CDelta%20t%5C%5C%5C%5Cv_o%20%3D%20v%20-%20a%20%5CDelta%20t%20%3D%20%28-4.5%20m%2Fs%29%20-%20%28-9.8%20m%2Fs%5E%7B2%7D%20%29%20%5Ctimes%203%20s%20%3D%2024.9%20m%2Fs)
Given the time, the final velocity and the acceleration, we can calculate the initial velocity using the kinematic equation A:
![v = v_o + a \Delta t](https://tex.z-dn.net/?f=v%20%3D%20v_o%20%2B%20a%20%5CDelta%20t)
Learn more: brainly.com/question/4434106
Answer:
R = 715.4 N
L = 166.6 N
Explanation:
ASSUME the painter is standing right of center
Let L be the left rope tension
Let R be the right rope tension
Sum moments about the left end to zero. Assume CCW moment is positive
R[5] - 20(9.8)[5/2] - 70(9.8)[5/2 + 2] = 0
R = 715.4 N
Sum moments about the right end to zero
20(9.8)[5/2] + 70(9.8)[5/2 - 2] - L[5] = 0
L = 166.6 N
We can verify by summing vertical forces
116.6 + 715.4 - (70 + 20)(9.8) ?=? 0
0 = 0 checks
If the assumption about which side of center the paint stood is incorrect, the only difference would be the values of L and R would be swapped.
The bear is white in color because it is a polar bear.
<h3>What are the color of bears?</h3>
Bears are very large carnivorous animals found around the cold regions of the Arctic or North Pole.
The color of bears, may be brown, black or white depending on how far North the bears are found.
Bears found close to the Arctic or North pole are white polar bears.
Based on the description of the house, every side of the home faces South meaning that the individual lives in the North pole.
Therefore, the color of the bear will be white.
in conclusion, polar bears are white in color.
Learn more about polar bears at: brainly.com/question/21618662
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Answer:
E3 = 3.03 10⁻¹⁶ kJ, E4 = 4.09 10⁻¹⁶ kJ and E5 = 4.58 10⁻¹⁶ kJ
Explanation:
They give us some spectral lines of the Balmer series, let's take the opportunity to place the values in SI units
n = 3 λ = 656.3 nm = 656.3 10⁻⁹ m
n = 4 λ = 486.1 nm = 486.1 10⁻⁹ m
n = 5 λ=434.0 nm = 434.0 10⁻⁹ m
Let's use the Planck equation
E = h f
The speed of light equation
c = λ f
replace
E = h c /λ
Where h is the Planck constant that is worth 6.63 10⁻³⁴ J s and c is the speed of light that is worth 3 10⁸ m / s
Let's calculate the energies
E = 6.63 10⁻³⁴ 3 10⁸ / λ
E = 19.89 10⁻²⁶ /λ
n = 3
E3 = 19.89 10⁻²⁶ / 656.3 10⁻⁹
E3 = 3.03 10⁻¹⁹ J
1 kJ = 10³ J
E3 = 3.03 10⁻¹⁶ kJ
n = 4
E4 = 19.89 10⁻²⁶ /486.1 10⁻⁹
E4 = 4.09 10⁻¹⁹ J
E4 = 4.09 10⁻¹⁶ kJ
n = 5
E5 = 19.89 10⁻²⁶ /434.0 10⁻⁹
E5 = 4.58 10⁻¹⁹ J
E5 = 4.58 10⁻¹⁶ kJ
Answer: 16N
Explanation:
Given that:
mass of box M= 2 kg
Initial speed V1 = 4 m/s
Final speed V2 = 8 m/s
Time taken T= 0.5 s
Average strength of this force F = ?
Now, recall that Force is the rate of change of momentum per unit time
i.e Force = momentum / time
Hence, F = M x (V2 - V1)/T
F = 2kg x (8 m/s - 4 m/s) / 0.5s
F = 2kg x (4 m/s / 0.5s)
F = 2kg x 8 m/s/s)
F = 16N
Thus, the average strength of this
force is 16 newton.