Answer: 134.23g at 0° (horizontal) and 77.5g at 90° (vertical).
Explanation:
1) Since the mass of <span>155 g is suspended at 210 degrees, you need to find the components of its weight on the orthogonal coordinate system (0° and 90°).
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<span>2) You do that using the trignometric ratios sine and cosine.
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<span>Weight is mass × g.
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<span>Weight of the object = 155g × g
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<span>Angle, α = 210°
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<span>Horizontal component (0°)
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<span>cosα = horizontal / hypotenuse ⇒ horizontal = hypotenuse × cosα
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⇒ horizontal = 155g × g × cos(210°) = - 134.23g × g
Vertical component
sinα = vertical / hypotenuse ⇒ vertical = hypotenuse × sinα
⇒ vertical = 155g × g × sin(210°) = -77.5g × g
3) Conclusion:
Therefore, the masses that must be suspended to balance the forces of the 155g mass are 134.23g at 0° (horizontal) and 77.5g at 90° (vertical).
I believe that your answer is true
Assuming that it continues to accelerate at the same rate it will take another 10 seconds to reach 40 m/s.
Answer:
Explanation:
Since the first question states that there is a change in the velocity from rest to 20 m/s in 10 seconds time interval. So the acceleration experienced by the car during this 10 seconds should be determined first as follows:
Acceleration = (final velocity-initial velocity)/Time
Acceleration = (20-0)/10 = 2 m/s².
So this means the car is traveling with an acceleration of 2 m/s².
As it is stated that the car continues to move with same acceleration, then in the second case, the acceleration is fixed as 2 m/s², initial velocity as 20 m/s and final velocity as 40 m/s. So the time taken for the car to reach this velocity with the constant acceleration value will be as follows:
Time = Change in velocity/Acceleration
Time = (40-20)/2 = 20/2=10 s
So again in another 10 seconds by the car to reach 40 m/s from 20 m/s. Similarly the car will take a total of 20 seconds to reach from rest to 40 m/s value for velocity.
The polaris is a star which appear to stand still while the rest of the stars move due to the rotation of the earth.If u are standing at the north pole the polaris would be directly above you.To find the polaris u must first find the big dipper which is like a bowl with handle and the move like 5 time to find the polaris
