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
mafiozo [28]
3 years ago
8

Determine the projection (magnitude and sign), or component, of vector v1 along the direction of vector v2. Your answer could be

positive or negative, or zero, make sure you indicate the correct sign. Draw the vectors and see if your answer makes sense! v1=( -5, 7 , 2) ft v2=(3, 1, 2) ft
Physics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

- 1.07 ft

Explanation:

V1 = (-5, 7, 2)

V2 = (3, 1, 2)

Projection of v1 along v2, we use the following formula

=\frac{\overrightarrow{V1}.\overrightarrow{V2}}{V2}

So, the dot product of V1 and V2 is = - 5 (3) + 7 (1) + 2 (2) = -15 + 7 + 4 = -4

The magnitude of vector V2 is given by

= \sqrt{3^{2}+1^{2}+2^{2}}=3.74

So, the projection of V1 along V2 = - 4 / 3.74 = - 1.07 ft

Thus, the projection of V1 along V2 is - 1.07 ft.

so we need to find the direction of v2

You might be interested in
Choose the law each sentence describes. This law relates a planet's orbital period and its average distance to the Sun. The orbi
hram777 [196]

These are the Kepler's laws of planetary motion.

This law relates a planet's orbital period and its average distance to the Sun. - Third law of Kepler.

The orbits of planets are ellipses with the Sun at one focus. - First law of Kepler.

The speed of a planet varies, such that a planet sweeps out an equal area in equal time frames. - Second law of Kepler.

7 0
3 years ago
Read 2 more answers
If a basball is project upwards from the ground level with an initial velovaity of 32 feet per second, then it's height is a fun
inessss [21]

Answer:

Maximum height reached by the ball is 32 meters.

Explanation:

It is given that,

If a baseball is project upwards from the ground level with an initial velocity of 32 feet per second, then it's height is a function of time. The equation is given as :

s=-8t^2+32t...........(1)

t is the time taken

s is the height attained as a function of time.

Maximum height achieved can be calculated as :

\dfrac{ds}{dt}=0

\dfrac{d(-8t^2+32t)}{dt}=0

-16 t + 32 = 0

t = 2 seconds

Put the value of t in equation (1) as :

s=-8(2)^2+32(2)

s = 32 meters

So, the maximum height reached by the ball is 32 meters. Hence, this is the required solution.

6 0
3 years ago
Consider two massless springs connected in series. Spring 1 has a spring constant k1, and spring 2 has a spring constant k2. A c
Andru [333]

Answer:

a. k = (1/k₁ + 1/k₂)⁻¹ b. k = (1/k₁ + 1/k₂ + 1/k₃)⁻¹

Explanation:

Since only one force F acts, the force on spring with spring constant k₁ is F = k₁x₁ where x₁ is its extension

the force on spring with spring constant k₂ is F = k₂x₂ where x₁ is its extension

Let F = kx be the force on the equivalent spring with spring constant k and extension x.

The total extension , x = x₁ + x₂

x = F/k = F/k₁ + F/k₂

1/k = 1/k₁ + 1/k₂

k = (1/k₁ + 1/k₂)⁻¹

B

The force on spring with spring constant k₃ is F = k₃x₃ where x₃ is its extension

Let F = kx be the force on the equivalent spring with spring constant k and extension x.

The total extension , x = x₁ + x₂ + x₃

x = F/k = F/k₁ + F/k₂ + F/k₃

1/k = 1/k₁ + 1/k₂ + 1/k₃

k = (1/k₁ + 1/k₂ + 1/k₃)⁻¹

8 0
3 years ago
Read 2 more answers
The current perception of the arrangement of an atom is represented in the picture at right.
yarga [219]

Answer:

theroy

Explanation:

6 0
3 years ago
What is the formula to calculate force?
Juliette [100K]
The process of determining the value of the individual forces acting upon an object involve an application of Newton's second law (Fnet<span>=m. a) and an application of the meaning of the </span>net force<span>.</span>
3 0
3 years ago
Other questions:
  • Will give brainliest, 30 points! :)
    13·1 answer
  • Why do satellites in orbit fall to the ground? why dont they fly into space?
    15·1 answer
  • What is the relationship between the mass of an object and the amount of force required to drag it across the table?
    8·1 answer
  • According to Kepler, which planet travels the fastest?
    7·2 answers
  • State the Newton 2nd law of motion and also prove that F= ma<br>​
    11·1 answer
  • I need help so bad pls pls help
    9·2 answers
  • A bat hits a baseball with a force of 500N. The magnitude of the force that the baseball exerts on the bat is...
    6·1 answer
  • Name TWO WEAKNESSES of the model pictured below
    15·1 answer
  • Ello<br><br>NY1 ZINDA HERE xD<br><br>WHAT IS MOLE ??​
    14·1 answer
  • Who was th efirst person to come up with the idea of the atoms.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!