A physicist is constructing a solenoid. She has a roll of insulated copper wire and a power supply. She winds a single layer of

Response:

Clarification:

The force between two charges, q₁ and q₂ at a distance d is represented by the formula

F = k q₁ q₂ / d²

Here, the force between charge q₁ = -15 x 10⁻⁹ C and q₃ = 47 x 10⁻⁹ C with distance d = (1.66 - 1.24) = 0.42 mm

k = 1 / (4π x 8.85 x 10⁻¹²)

Substituting the values into the equation

F = 1 / (4π x 8.85 x 10⁻¹²) x -15 x 10⁻⁹ x 47 x 10⁻⁹ / (0.42 x 10⁻³)²

= 9 x 10⁹ x -15 x 10⁻⁹ x 47 x 10⁻⁹ / (0.42 x 10⁻³)²

= 35969.4 x 10⁻³ N.

For the force between charge q₂ = 34.5 x 10⁻⁹ C and q₃ = 47 x 10⁻⁹ C at a distance d = (1.24 - 0) = 1.24 mm.

Substituting the values into the expression

F = 1 / (4π x 8.85 x 10⁻¹²) x 34.5 x 10⁻⁹ x 47 x 10⁻⁹ / (0.42 x 10⁻³)²

= 9 x 10⁹ x -34.5 x 10⁻⁹ x 47 x 10⁻⁹ / (0.42 x 10⁻³)²

= 82729.6 x 10⁻³ N

Both forces direct towards the left (away from the origin, towards the negative x-axis)

Total force = 118699 x 10⁻³

= 118.7 N.

Since the motorcycle was at a speed of 36 m/s prior to braking, that marks the initial velocity.

The motorcycle skidded 23m before coming to a full stop, indicating that

As it has ceased motion, the final velocity is zero.


We can apply the 'suvat' formula relevant to linear motion.


Substituting the aforementioned values allows us to find,









We can apply the formula

to calculate the time required for the motorcycle to stop.

To begin, let's state the facts: the tennis ball weighs 0.003 kg, while the soccer ball weighs 0.43 kg, and both are moving at the same speed of 16 m/s. The formula for momentum is P=MV where P stands for Momentum, M for Mass, and V for Velocity. Now, let's calculate the momentum for the tennis ball. Pt=0.003 x 16 m/s= (    kg-m/s ). I denote tennis ball momentum with a subscript "t." For the soccer ball, the momentum is Ps= 0.43 x 16 m/s = (      km-m/s). When we assess the momentum between the two balls, the heavier one will typically exhibit more momentum owing to its greater mass, unless the tennis ball, having less mass, achieves a higher velocity to match or exceed the momentum of the soccer ball.

Answer:

223 degrees

Explanation:

We have the following information:

Magnitude of the resultant vector = 8 units

The resultant vector makes a counterclockwise angle with the positive x-axis

Our goal is to determine the magnitude and angle of the equilibriant vector.

We understand that the equilibrium vector has the same magnitude but is oriented in the opposite direction of the given vector.

Thus, the equilibrium vector's magnitude = 8 units

x-component of a vector=

Where v = Magnitude of vector

Using the formula:

x-component of the resultant vector=

y-component of the resultant vector=

x-component of the equilibrium vector=

y-component of the equilibrium vector=

Because the equilibrium vector lies in the third quadrant

The angle is in the third quadrant

In the third quadrant, the angle =

The angle of the equilibrium vector measured from the positive x-axis in a counterclockwise direction is 180+43=223 degrees