Answer:
Torque is 93 Nm anticlockwise.
Explanation:
We have value of torque is cross product of position vector and force vector.
A force of 38 N, directed 30° above the x axis in the x-y plane.
Force, F = 38 cos 30 i + 38 sin 30 j = 32.91 i + 19 j
A particle is located on the x axis 4.9 m and we have to find torque about the origin on the particle.
Position vector, r = 4.9 i
Torque, T = r x F = 4.9 i x (32.91 i + 19 j) = 4.9 x 19 k = 93.1 k Nm
So Torque is 93 Nm anticlockwise.
Refer to the diagram shown below.
d = distance (miles) from Alphaville to Betaville.
v = speed (mph) of the plane with no wind.
With no wind:
The time taken to travel a distance of 2d is 4 hrs, 48 min = 4.8 hrs.
Therefore
2d/v = 4.8
v = 2d/4.8 = 0.4167d mph (1)
With the wind:
The velocity from Alphaville to Betaville is (v + 100) mph.
The time of travel is
t₁ = d/(v+100) h
The velocity from Betaville to Alphaville is (v - 100) mph.
The time of travel is
t₂ = d/)v-100) h
Because the return trip takes 5 hours, therefore
t₁ + t₂ = 5

(2)
From (1), obtain
2(0.4167)d² = 5[(0.4167d)² - 10⁴]
0.8334d² = 0.8682d² - 5 x 10⁴
0.0348d² = 5 x 10⁴
d = 1198.7 mi
Answer: 1199 miles (nearest integer)
Answer: 150 joules
Explanation:
Force applied on a block = 25N
Distance moved by block = 6 m
Workdone = ?
Recall that work is done when force is applied on an object over a distance. And it is measured in joules.
I.e Workdone = Force X Distance
= 25N x 6 metres
= 150 joules
Thus, 150 joules of work is done by the applied force.
Answer:
The current increases.
Explanation:
A capacitor can be defined as an electronic component used in electrical circuits to store charge temporarily.
A capacitor is connected to an AC generator. As the generator's frequency is increased, the current in the capacitor increases as well.
This ultimately implies that, when a capacitor is connected to an AC generator, the frequency of the circuit is directly proportional to the amount of current flowing through it.
The choices can be found elsewhere and as follows:
A anthropocentric
B frontier
C land
D biocentric
I think the correct answer is option A. It is anthropocentric the type of ethic that is life-centered and views humans as just one component life on Earth. Hope this answers the question. Have a nice day.