1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Georgia [21]
3 years ago
6

Consider the three dip1acement vectors A = (3i - 3j) m, B = (i-4j) m, and C = (-2i + 5j) m. Use the component method to determin

e (a) the magnitude and direction of the vector + + and (b) the magnitude and direction of E=-A - B + C.
Physics
1 answer:
tia_tia [17]3 years ago
4 0

Answer with Explanation:

We are given that

A=3i-3j m

B=i-4 j m

C=-2i+5j m

a.D=A+B+C

D=3i-3j+i-4j-2i+5j

D=2i-2j

Compare with the vector r=xi+yj

We get x=2 and y=-2

Magnitude=\mid D\mid=\sqrt{x^2+y^2}=\sqrt{(2)^2+(-2)^2}=2\sqrt 2 units

By using the formula \mid r\mid=\sqrt{x^2+y^2}

Direction:\theta=tan^{-1}\frac{y}{x}

By using the formula

Direction of D:\theta=tan^{-1}(\frac{-2}{2})=tan^{-1}(-1)=tan^{-1}(-tan45^{\circ})=-45^{\circ}

b.E=-A-B+C

E=-3i+3j-i+4j-2i+5j

E=-6i+12j

\mid E\mid=\sqrt{(-6)^2+(12)^2}=13.4units

Direction of E=\theta=tan^{-1}(\frac{12}{-6}=tan^{-1}(-2)=-63.4^{\circ}

You might be interested in
Hydroelectric power relies on the transfer of energy from waves through what medium
Sedaia [141]
Through the medium of electromagnetism, energy from waves get transferred which a hydroelectric power plant heavily rely on. The turbine eventually converts the energy from the waves into mechanical energy which is transformed to electrical energy using a generator. 
6 0
3 years ago
A fully loaded, slow-moving freight elevator has a cab with a total mass of 1250 kg, which is required to travel upward 49 m in
insens350 [35]

Answer:

659.01W

Explanation:

The cab has a mass of 1250 kg, the weight of the cab represented by Wc will be

Wc = mass of the cab × acceleration due to gravity in m/s²

Wc = 1250 × 9.81 = 12262.5 N

but the counter weight of the elevator represented by We = mass × acceleration due to gravity = 995 × 9.81 = 9760.95 N

Net weight = weight of the cab - counter weight of the elevator = Wc - We = 12262.5 - 9760.95 = 2501.55 N

the motor of the elevator will have to provide this in form of work

work done by the elevator to lift the cab to height of 49 m = net weight × distance (height) = 2501.55 × 49m

power provided by the motor of the elevator = workdone by the motor / time in seconds

Power = (2501.55 × 49) ÷ ( 3.1 × 60 seconds) = 659.01 W

5 0
3 years ago
Warm water is generally less dense than cold water. The mass of a ship increases as it is loaded with cargo. If a ship will be s
KengaRu [80]
If a ship will be sailing through warm and cold water, people think about making it less dense than the warmest water as they load the ship with cargo. I think you forgot to give the options along with the question. I hope that this is the answer that has actually come to your desired help.
6 0
3 years ago
Read 2 more answers
Starting from rest, a 6.79 kg block slides 2.82 m down a rough 20.7 ◦ incline. The coefficient of kinetic friction between the b
Veronika [31]

Answer:

23.52092 J

Explanation:

m = Mass of block = 6.79 kg

s = Sliding distance = 2.82 m

\theta = Angle of slide = 20.7°

\mu = Coefficient of kinetic friction = 0.425

g = Acceleration due to gravity = 9.8 m/s²

Work done by the force of gravity is given by

W=mgsin\theta\\\Rightarrow W=6.79\times 9.8\times sin20.7\\\Rightarrow W=23.52092\ J

The work done by the force of gravity is 23.52092 J

8 0
3 years ago
một quả bóng quần vợt nặng 0,060kg chuyển động với tốc độ 45,0m/s va vào bức tường dưới một góc 45 độ rồi bật trở ra với ucngf t
Vinvika [58]

can you tell in English.......

5 0
3 years ago
Other questions:
  • Help! PROJECTILE PROBLEM: A 7500-kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25
    10·2 answers
  • If an object is placed between a convex lens and its focal point, which type of image will be produced?
    15·2 answers
  • My fifth time asking this, but can someone please help me with these four????
    8·1 answer
  • Juan lives 100m away from bill whats juan`s average speed if he reaches bill home in 50 s
    10·1 answer
  • The terrestrial planets are made almost entirely of elements heavier than hydrogen and helium. According to modern science, wher
    6·1 answer
  • Melanye and Kaitlynn were traveling on a train for 6 hours. Over that time the train was at an average velocity of 70km/hr west.
    8·1 answer
  • "When the ball leaves the ramp at Point B, students measure the horizontal" distance traveled. They repeat the experiment five t
    6·1 answer
  • A forward horizontal force of 50 N is applied to a crate. A second horizontal force of
    15·1 answer
  • How long does it take for a hook to reach the top of a building if the velocity is 50 m/s
    5·1 answer
  • A sound wave travelling in water has a frequency of 100 Hz. The speed of sound in water is 1482 m/s. Calculate the wavelength of
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!