Answer:
4m/s
Explanation:
The motion is in downward direction, and the boat is moving with constant velocity, the position of the boat horizontally is 12m before the key fall.
The height difference "h"= ( y- y°)= 45 m
We can determine the needed time the key requires to reach the water using the expression from Newton's law
h= v(o) + 1/2 at^2
g= acceleration due to gravity= 9.8m/s^2
h= v(o) + 1/2 gt^2 -------------------------eqn*)
V(o)= 0 for the key= initial velocity
h= height that the key falls= 45m
If we substitute the above values into eqn(*) we have
We can make t^2 subject of the formula since v(0)= 0
t^2= h/(1/2 g)
= 45/(1/2× 9.8)
t^2= 45/4.9=9.18
t= √9.18
t=3.03 secs
Since the boat was moving with constant velocity,
Then Velocity= distance/ time
= 12/3.03
Velocity= 4m/s
Hence, the speed of the boat is 4m/s
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.
We have that the force between the two charged objects is mathematically given as F=2.349N
The magnitude of the force between two charged objects.
Given,
Question Parameters:
Two spheres carry a charge of 1x10^-7 C.
Their centers are separated by 0.7m.
Generally, the equation for the Force is mathematically given as

Therefore

F=2.349N
<h3>What is magnitude?</h3>
In mathematics, the magnitude or size of a mathematical entity is a property that determines whether the object is bigger or slighter than different things of the same kind. Additional formally, an entity's magnitude is the declared result of an ordering —of the class of things to which it belongs.
To learn more about<u> magnitude</u>, refer to:
brainly.com/question/24468862
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Answer:
a) v = 1,714 10⁶ m / s
, b) K = 13.37 10⁻¹⁹ J
, c) K= 8.36 eV
Explanation:
a) A speed selector uses an electric force and a magnetic force that opposes it, so we can use the equilibrium equation
-
= 0
= 
q E = q v B
E = v B
v = E / B
Let's calculate
v = 0.48 10⁶ / 0.28
v = 1,714 10⁶ m / s
b) the energy of the particles is kinetic energy
K = ½ m v2
The mass of the proton is
mp = 1.67 10⁻²⁷ kg
K = ½ 1.67 10⁻²⁷ (1,714 10⁶)²
K = 2.46 10⁻¹⁵ J
Let's reduce
K = 2.45 10⁻¹⁵ J (1eV / 1.6 10⁻¹⁹J)
K = 1.53 10⁴ eV
K = 15.3 KeV
The mass of the electron
me = 9.1 10-31 kg
K = ½ 9.1 10⁻³¹ (1,714 10⁶)²
K = 13.37 10⁻¹⁹ J
Let's reduce
K = 13.37 10⁻¹⁹ J (1eV / 1.6 10⁻¹⁹ J)
K= 8.36 eV