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vlabodo [156]
3 years ago
15

11 The net force on a vehicle that is accelerating at a rate of 1.5 m/s² is 2,800 newtons. What is

Mathematics
1 answer:
ololo11 [35]3 years ago
4 0

Answer:

Mass = 1867kg

Step-by-step explanation:

Given

Force = 2800N

Acceleration = 1.5m/s^2

Required

Determine the mass of the vehicle

This question will be answered using Newton's second law

Force = Mass * Acceleration

Substitute values for Force and Acceleration

2800 = Mass * 1.5m/s^2

Make Mass the subject

Mass = \frac{2800N}{1.5m/s^2}

Mass = 1866.6667kg

Mass = 1867kg ---- approximated

<em>Hence, the mass of the vehicle is 1867kg</em>

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Ray Of Light [21]

Answer:

11. A)45°

12. A)45°

13. A)45°

14. B)180°

15. C)65°

16.D)135°

17. A)115°

18. B)180°

Step-by-step explanation:

An arc measure is defined as the measure of an angle an arc creates in a circle's center.

11.#from properties of a circle, we know arcs of a circle are proportional to their corresponding angle

\angle DXB=arc \ DC\\\\45\textdegree=arc \ DC

Hence, the arc measure DC is 45°

12.#from properties of a circle, we know arcs of a circle are proportional to their corresponding angle

Let x be the center of the circle;

\angle AXB=arc \ AB\\\\45\textdegree=arc \ AB

Hence, the arc measure AB is 45°

13. Given BE is a diameter, we know from properties of a circle that the angle subtending it is equal to 180°.

\angle BXE=\angle BXA+\angle AXE=180\textdegree\\\\\angle AXE=180\textdegree-45\textdegree\\\\=135\textdegree

Also, given AD is a diameter:

\angle AXD=\angle EXD+\angle AXE=180\textdegree\\\\\angle EXD=180\textdegree-135\textdegree\\\\=45\textdegree

Hence, the arc measure ED is 45°

14.Given AD is a diameter, we know from properties of a circle that the angle subtending it is equal to 180°.

Hence, the arc measure ABD is 180°

15. Given AD is a diameter, we know from properties of a circle that the angle subtending it is equal to 180°.

\angle AXD=\angle AXB+\angle BXC+\angle CXD=180\textdegree\\\\\angle BXC=180\textdegree-45\textdegree-70\textdegree\\\\=65\textdegree

Hence, the arc measure BC is 65°

16. #from properties of a circle, we know arcs of a circle are proportional to their corresponding angle:

\angle BXD=\angle BXC+\angle CXD=\\\\\angle BXD=70\textdegree+65\textdegree\\\\=135\textdegree

Hence, the arc measure BD is 135°

17. From a3 above, we know the arc measure ED is 45°. The arc measure of CED is equivalent to ED plus CD:

\angle CED=\angle DXE+\angle CXD=\\\\\angle BXD=70\textdegree+45\textdegree\\\\=115\textdegree

Hence, the arc measure CED is 115°

18.Given AD is a diameter, we know from properties of a circle that the angle subtending it is equal to 180°.

Hence, the arc measure ADB is 180°

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