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svetoff [14.1K]
3 years ago
10

if a car is accelerating downhill under a net force of 3674 N, what additional force would cause the car to have a constant velo

city?
Physics
1 answer:
expeople1 [14]3 years ago
3 0

Hi there!

For an object to have a constant velocity, the SUM of the forces must equal 0. This means that the forces are balanced.

When a car is accelerating downhill, it is experiencing a force due to gravity of F = MgsinФ.

In order to balance the forces, there must be an equal and OPPOSITE force acting on the object. This would be a force of kinetic friction.

Thus:

∑F = -F (Kinetic Friction) + MgsinФ

0 = -F (Kinetic Friction) + MgsinФ

MgsinФ = F (Kinetic Friction)

Thus, the force of Kinetic Friction = -3674 N

(Negative indicates in the opposite direction)

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An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm^2, separated by a distance of 1.70 mm. A 2
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(a) 1.47 x 10⁴ V/m

(b) 1.28 x 10⁻⁷C/m²

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(d) 9.75 x 10⁻¹¹C

Explanation:

(a) For a parallel plate capacitor, the electric field E between the plates is given by;

E = V / d               -----------(i)

Where;

V = potential difference applied to the plates

d = distance between these plates

From the question;

V = 25.0V

d = 1.70mm = 0.0017m

Substitute these values into equation (i) as follows;

E = 25.0 / 0.0017

E = 1.47 x 10⁴ V/m

(c) The capacitance of the capacitor is given by

C = Aε₀ / d

Where

C = capacitance

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ε₀ = permittivity of free space =  8.85 x 10⁻¹²F/m

d = 1.70mm = 0.0017m

C = 0.00076 x  8.85 x 10⁻¹² / 0.0017

C = 3.9 x 10⁻¹²F

(d) The charge, Q, on each plate can be found as follows;

Q = C V

Q =  3.9 x 10⁻¹² x 25.0

Q = 9.75 x 10⁻¹¹C

Now since we have found other quantities, it is way easier to find the surface charge density.

(b) The surface charge density, σ, is the ratio of the charge Q on each plate to the area A of the plates. i.e

σ = Q / A

σ = 9.75 x 10⁻¹¹ /  0.00076

σ = 1.28 x 10⁻⁷C/m²

6 0
3 years ago
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