Answer:
a. 3.6 units
b. 1.4 units
c. 3.6 units
d. 6.1 units
Explanation:
The length of a vector is given by the following formula:
Length = √(x² + y²)
where,
x = x-component of vector
y = y-component of vector
a.
Here,
x = 2
y = 3
Therefore,
Length = √(2² + 3²)
Length = √13
<u>Length = 3.6 units</u>
<u />
b.
Here,
x = 1
y = 1
Therefore,
Length = √(1² + 1²)
Length = √2
<u>Length = 1.4 units</u>
<u />
c.
Here,
x = 2
y = -3
Therefore,
Length = √(2² + (-3)²)
Length = √13
<u>Length = 3.6 units</u>
<u />
d.
Here,
x = 1
y = -6
Therefore,
Length = √(1² + (-6)²)
Length = √37
<u>Length = 6.1 units</u>
Answer:
A) mr = 100 kg
B) Fr = 210N
C) Ft = -199.5N
Explanation:
By conservation of the momentum:
mt*Vo = (mr + mt) * Vf Solving for mr:
mr = mt*Vo / Vf - mt = 100 kg
The average force on the receiver:
mr *(Vf - 0) = Fr * Δt Solving for Fr:
Fr = 210 N
The average force on the tackler:
mt * (Vf - Vo) = Ft * Δt Solving for Ft:
Ft = -199.5 N
(a) The tension on the wire when the two charges have opposite signs is 383.5 N.
(b) The tension on the wire if both charges were negative is 3.640.25 N.
The given parameters;
- <em>first charge, q₁ = 8.75 μC </em>
- <em>second charge, q₂ = -6.5 μC </em>
- <em>electric field, E = 1.85 x 10⁸ N/C</em>
- <em>distance between the two charges, r = 2.5 cm</em>
<em />
(a)
The attractive force between the charges is calculated as follows;

The force on the negative charge due to the electric field is calculated as follows;

The tension on the wire is the resultant of the two forces and it is calculated as follows;

(b) when the two charges are negative
The repulsive force between the two charges is calculated as follows;

The force on the first negative charge due to the electric field is calculated as follows;

The force on the second negative charge due to the electric field is calculated as follows;

The tension on the wire is the resultant of the three forces and it is calculated as follows;

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Answer:
Both these motions are caused by the Gravitational force of earth.
Explanation:
Both these motions are caused by the Gravitational force of earth.
Answer:
Gravitational potential energy
Explanation:
The book is put 5 feet in the air, which means 5 feet above the ground. An object which is located to a certain height above the ground possesses a form of energy called gravitational potential energy, which is the energy due to the fact that the object has "potential" to transform this energy into other forms of energy (e.g. kinetic energy, if the book is released and it starts moving).
The value of the gravitational potential energy of the object is given by the formula:

where
m is the mass of the object
g is the gravitational acceleration (9.8 m/s^2)
h is the height of the book above the ground (in this case, 5 feet)
So, we see that the gravitational potential energy is proportional to both the mass and the height of the object.