Answer:
1) t = 3.45 s, 2) x = 138 m, 3) v_{y} = -33.81 m /s, 4) v = 52.37 m / s
,
5) θ = -40.2º
Explanation:
This is a projectile exercise, as they indicate that the projectile rolls down the cliff, it goes with a horizontal speed when leaving the cliff, therefore the speed is v₀ₓ = 40 m / s.
1) Let's calculate the time that Taardaen reaches the bottom, we place the reference system at the bottom of the cliff
y = y₀ +
t - ½ g t²
When leaving the cliff the speed is horizontal v_{oy}= 0 and at the bottom of the cliff y = 0
0 = y₀ - ½ g t2
t = √ 2y₀ / g
t = √ (2 60 / 9.8)
t = 3.45 s
2) The horizontal distance traveled
x = v₀ₓ t
x = 40 3.45
x = 138 m
3) The vertical velocity at the point of impact
v_{y} = I go - g t
v_{y} = 0 - 9.8 3.45
v_{y} = -33.81 m /s
the negative sign indicates that the speed is down
4) the resulting velocity at this point
v = √ (vₓ² + v_{y}²)
v = √ (40² + 33.8²)
v = 52.37 m / s
5) angle of impact
tan θ = v_{y} / vx
θ = tan⁻¹ v_{y} / vx
θ = tan⁻¹ (-33.81 / 40)
θ = -40.2º
6) sin (-40.2) = -0.6455
7) tan (-40.2) = -0.845
8) when the projectile falls down the cliff, the horizontal speed remains constant and the vertical speed increases, therefore the resulting speed has a direction given by the angle that is measured clockwise from the x axis
A
The horizontal force cancels out. The two 4Ns go in opposite directions. So they don't affect the outcome.
The Vertical force is 6N up - 2 N down = 4 N Up
Answer 4 N up
B
The horizontal and vertical forces cancel out. Each gives 3N - 3N =0
The net force is 0
C
You only have horizontal forces on this one
5N - 3N = 2N
The answer is 2N to the right.
Answer:

Explanation:
given data:
refractive index of lens 1.50
focal length in air is 30 cm
focal length in water is -188 cm
Focal length of lens is given as
![\frac{1}{f} =\frac{n_2 -n_1}{n_1} * \left [\frac{1}{r1} -\frac{1}{r2} \right ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bf%7D%20%3D%5Cfrac%7Bn_2%20-n_1%7D%7Bn_1%7D%20%2A%20%5Cleft%20%5B%5Cfrac%7B1%7D%7Br1%7D%20-%5Cfrac%7B1%7D%7Br2%7D%20%20%20%5Cright%20%5D)
![\frac{1}{f} =\frac{n_{g} -n_{air}}{n_{air}} * \left [\frac{1}{r1} -\frac{1}{r2} \right ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bf%7D%20%3D%5Cfrac%7Bn_%7Bg%7D%20-n_%7Bair%7D%7D%7Bn_%7Bair%7D%7D%20%2A%20%5Cleft%20%5B%5Cfrac%7B1%7D%7Br1%7D%20-%5Cfrac%7B1%7D%7Br2%7D%20%20%20%5Cright%20%5D)
![\frac{1}{f} =\frac{n_{g} -1}{1} * \left [\frac{1}{r1} -\frac{1}{r2} \right ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bf%7D%20%3D%5Cfrac%7Bn_%7Bg%7D%20-1%7D%7B1%7D%20%2A%20%5Cleft%20%5B%5Cfrac%7B1%7D%7Br1%7D%20-%5Cfrac%7B1%7D%7Br2%7D%20%20%20%5Cright%20%5D)
focal length of lens in liquid is
![\frac{1}{f} =\frac{n_{g} -n_{l}}{n_{l}} * \left [\frac{1}{r1} -\frac{1}{r2} \right ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bf%7D%20%3D%5Cfrac%7Bn_%7Bg%7D%20-n_%7Bl%7D%7D%7Bn_%7Bl%7D%7D%20%2A%20%5Cleft%20%5B%5Cfrac%7B1%7D%7Br1%7D%20-%5Cfrac%7B1%7D%7Br2%7D%20%20%20%5Cright%20%5D)

rearrange fro



Using Ohm's Law:
V = IR
Where V = Voltage in Volts, I = Current in Ampere, R = Resistance in Ohms
V = IR
1.5 = I * 3
1.5 = 3I
3*I = 1.5
I = 1.5/3
I = 0.50 A
Current in the Circuit is 0.50 Ampere.
Answer:
Explanation:
The rocky planets include Mercury, Venus, Earth, and Mars. they are made up of rocks and metals and have solid surfaces.They are the closest four planets to the Sun. The gas giants are Neptune, Uranus, Saturn, and Jupiter. they are further from the sun and are in the outer part of the solar system. I hope this helps!