Which car has the most kinetic energy ??
2 answers:
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Refer to the diagram shown below.
Let the truck be traveling north at 20 m/s.
Let the ball be shot eastward at 20 m/s
The resultant velocity of the ball is
v = √(20² + 20²) = 20√2 = 28.284 m/s
The direction is
θ = tan⁻¹ (20/20) = tan⁻¹ 1 = 45°
Answer:
The ball travels at 28.3 m/s at 45° relative to the direction of the truck.
Let the truck be traveling north at 20 m/s.
Let the ball be shot eastward at 20 m/s
The resultant velocity of the ball is
v = √(20² + 20²) = 20√2 = 28.284 m/s
The direction is
θ = tan⁻¹ (20/20) = tan⁻¹ 1 = 45°
Answer:
The ball travels at 28.3 m/s at 45° relative to the direction of the truck.
Answer:
See the answers below
Explanation:
In order to solve these problems, we must decompose the magnitudes of the velocities on the x & y-axes, using the angles that are given. It is important for a better understanding to look at the attached image and understand how the angles are located relative to the horizontal axis.
1.
The horizontal component of the angle can be found with the cosine function. While the vertical component can be found using the sine function of the angle.
Viy = 24*sin (40)
Viy = 15.42 [m/s]
2.
The horizontal component of the angle can be found with the cosine function.
Vix = 24*cos(40)
Vix = 18.38 [m/s]
3.
Vix = 55*cos(25)
Vix = 49.84 [m/s]
Answer:
Time taken, t = 30.15 minutes
Explanation:
It is given that,
Distance from the center of planet, r = 40 miles
Speed of the shuttle, v = 500 miles per hour
Let t is the time taken by it to complete one full orbit. The displacement of the shuttle is,
d = 251.32 miles
Now time can be calculated using the expression for the velocity as :
t = 0.50264 hours
or
t = 30.15 minutes
So, the shuttle will take 30.15 minutes to complete one full orbit. Hence, this is the required solution.