Answer:
120°
Explanation:
Draw a free body diagram. There are three forces acting on the traffic light. Two tension forces acting along the cables, and weight.
The tension forces have an angle θ between them. That means each tension force forms an angle of θ/2 with respect to the vertical. So the y component of each tension force is:
Ty = T cos (θ/2)
Sum of the forces in the y direction:
∑F = ma
Ty + Ty − W = 0
2 Ty = W
Substituting:
2 T cos (θ/2) = W
If W = T, then:
2 W cos (θ/2) = W
2 cos (θ/2) = 1
cos (θ/2) = 1/2
θ/2 = 60°
θ = 120°
<h2>
Hello!</h2>
The answer is 31.67 Amps.
<h2>
Why?</h2>
To solve the problem, we need to use Ohm's Law equation, which states that:

Where,
V, is the voltage (in volts)
I, is the current (in Amps)
R, is the resistance (in Ohms)
We are given the following information:

So, using Ohm's Law equation and substituting the given information, we have:

Hence, we have that the current used by the blender is 31.67Amps.
Have a nice day!
Answer:
D. 1/16 It's weight on the surface.
Explanation:
As we know that the gravity due to earth at its surface is given as

now at the distance of 4 radius of earth the gravity is given as

so we can say that

so here gravity becomes 1/16 times of the gravity due to earth on its surface
now we know that weight on the surface of earth is given as

also the weight now at the given height is given by

so here correct answer will be
D. 1/16 It's weight on the surface.
Answer:
487.23 N/m
Explanation:
Given:
mass of metal sphere 'm'= 0.51kg
the spring stretches from 0.12 m to 0.23 m. Therefore,
= 0.12m and
= 0.23m
the speed of the sphere decreases from 6.7 to 3.3 m/s. Therefore,
= 6.7m/s and
=3.3m/s
In order to find spring constant, we apply law of conservation of energy. i.e
The change of the kinetic energy of sphere is equal to the change of potential energy of the spring.
So, Δ
Δ
where,
Δ
1/2 m (
-
)²
Δ
= 1/2 k (
-
)²
1/2 m (
-
)² = 1/2 k (
-
)²
k= m [ (
-
)²/(
-
)²
k= 0.51 [(6.7-3.3)²/ (0.23-0.12)²]
k= 487.23 N/m
Thus, the spring constant of the spring is 487.23 N/m