Answer: magnitude of resultant = 2.811km, direction of resultant = 209.6°
Explanation: The vector ( in this case displacement) that lies on the y axis is 3.25km north and 1.50km due south.
Their resultant is gotten below
Magnitude of resultant = 3.25 - 1.50 = 1.75km
Direction of resultant = north (direction of the bigger vector)
2.20km is the only vector acting on the x axis due east, combining this vector with the resultant of the vectors above, we realize that 2.2km west is perpendicular to 1.75km due north. Since 1.75km us due north, it implies that it is the vector on the positive y axis (vy) and 2.20km due west implies that it is the vector on the negative x axis(vx), thus their resultant is gotten using phythagoras theorem.
R = √ vx² + vy²
R = √ 2.20² + 1.75²
R = √ 7.9025
R= 2.1811km.
θ = tan^-1 (vy/vx)
θ = tan ^-1 (1.25/2.20)
θ = tan ^-1 (0.5618)
θ = 29.6°.
The direction of the vector is south west which implies the third quadrant of the trigonometric quadrant which implies 180 + θ
Thus the direction of the vector is 180 + 29.60 = 209.6°
From the picture attached to this answer we can see roughly that the magnitude of resultant is longer than it component and the vector is placed on the 3rd quadrant which verifies our quantitative claim.
I'm assuming your question refers to the train travels 81 km in 2 hours, as in that's the total distance covered versus the speed for those 2 hours, whereas the 90 km in 2 hours the second time around is the total distance not speed I would assume.
Now... if it was going 81 km for the first 2 hours and 90 km for the second 2 hours then the average speed would be the mean of these numbers, with that being 85.5 km. Though, I doubt that's your question.
With that said, 81 km covered by 2 hours and 90 km covered by 2 more hours. To acquire the km an hour average, we'll have to divide the distance by how many hours it traveled:
81 / 2 = 40.5
90 / 2 = 45
Meaning the train was going 40.5 km an hour for the first 2 hours and 45 km an hour for the second 2 hours. Now, to find the mean:
40.5 + 45 = 85.5 / 2 = 42.75
In-case you were wondering, the mean is the sum of all the numbers in a set, divided by the total amount of numbers in that set, take for instance:
3, 5, 9, 2, 1, 5. -> There are 6 numbers in this set.
3 + 5 + 9 + 2 + 1 + 5 = 25 -> 25 is the sum of these numbers.
25 / 6 = 4.2 (estimated) -> 4.2 is roughly the mean or average between the original set.
Anyhow, with that aside the average speed between this I would believe would be 42.75 km an hour. I hope that helps, have a great rest of your day! ^ ^
| | Ghostgate (Alter) | |
Answer
given,
mass of ice hockey player = 110 Kg
initial speed of the skate = 3 m/s
final speed of the skate = 0 m/s
distance of the center of mass, m = 30 cm = 0.3 m
a) Change in kinetic energy
b) Average force must he exerted on the railing
using work energy theorem
W = Δ KE
F .d = -495
F x 0.3 = -495
F = -1650 N
the average force exerted on the railing is equal to 1650 N.
Answer:
193.4 J/K
Explanation:
For a closed system, the entropy is given as the natural logarithm of microstates.
The number of particles ( grains of sand ) N = 28
The number of boxes ( compartments ) M = 1000
Entropy is the logarithm of number of microstates
But the number of microstates is given by
