Answer:
The work done on the canister is 15.34 J.
Explanation:
Given;
mass of canister, m = 1.9 kg
magnitude of force acting on x-y plane, F = 3.9 N
initial velocity of canister in positive x direction,
= 3.9 m/s
final velocity of the canister in positive y direction, ![v_j = 5.6 \ m/s](https://tex.z-dn.net/?f=v_j%20%3D%205.6%20%5C%20m%2Fs)
The change in the kinetic energy of the canister is equal to net work done on the canister by 3.9 N.
ΔK.E = ![W_{net}](https://tex.z-dn.net/?f=W_%7Bnet%7D)
ΔK.E ![= K.E_f -K.E_i](https://tex.z-dn.net/?f=%3D%20K.E_f%20-K.E_i)
The initial kinetic energy of the canister;
![K.E_i = \frac{1}{2} mv_i^2\\\\K.E_i = \frac{1}{2} m(\sqrt{v_i^2 +v_j^2 + v_z^2}\ )^2\\\\K.E_i = \frac{1}{2} *1.9(\sqrt{3.9^2 +0^2 + 0^2}\ )^2 = 14.45 \ J](https://tex.z-dn.net/?f=K.E_i%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20mv_i%5E2%5C%5C%5C%5CK.E_i%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20m%28%5Csqrt%7Bv_i%5E2%20%2Bv_j%5E2%20%2B%20v_z%5E2%7D%5C%20%20%29%5E2%5C%5C%5C%5CK.E_i%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A1.9%28%5Csqrt%7B3.9%5E2%20%2B0%5E2%20%2B%200%5E2%7D%5C%20%20%29%5E2%20%3D%2014.45%20%5C%20J)
The final kinetic energy of the canister;
![K.E_f =\frac{1}{2} mv_j^2 \\\\K.E_f = \frac{1}{2} m(\sqrt{v_i^2 +v_j^2 + v_z^2}\ )^2\\\\K.E_f = \frac{1}{2} *1.9(\sqrt{0^2 +5.6^2 + 0^2}\ )^2 = 29.79 \ J](https://tex.z-dn.net/?f=K.E_f%20%3D%5Cfrac%7B1%7D%7B2%7D%20mv_j%5E2%20%5C%5C%5C%5CK.E_f%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20m%28%5Csqrt%7Bv_i%5E2%20%2Bv_j%5E2%20%2B%20v_z%5E2%7D%5C%20%20%29%5E2%5C%5C%5C%5CK.E_f%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A1.9%28%5Csqrt%7B0%5E2%20%2B5.6%5E2%20%2B%200%5E2%7D%5C%20%20%29%5E2%20%3D%2029.79%20%5C%20J)
ΔK.E = 29.79 J - 14.45 J
ΔK.E =
= 15.34 J
Therefore, the work done on the canister is 15.34 J.
Answer:
c. The forces acting on the box are balanced.
Answer:
..
Explanation:
Coordinate adjectives are adjectives that describe the same noun equally. They should be separated with commas. In this sentence, both red and round are describing the ball. The correct answer is, "The red, round ball is Adley's favorite toy to play with."
The medium whose light have the longest wavelength is air.
<h3>What is wavelength?</h3>
The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is the reciprocal of the frequency of the wave.
Wavelength λ = v/f
where v is the speed of wave in medium.
Given is the chart shows the speed at which light travels through different media.
Medium Speed of light in m/s
Water 2.25 x 10⁸
Air 2.99 x 10⁸
Glass 1.97 x 10⁸
Diamond 1.24 x 10⁸
The speed of light is directly proportional to the wavelength. Greater the speed, greater will be the wavelength.
From the chart, air has the highest speed of light.
Thus, the medium whose light have the longest wavelength is air.
Learn more about wavelength.
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