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
kotykmax [81]
3 years ago
13

Two horizontal forces act on a 1.4 kg chopping block that can slide over a friction-less kitchen counter, which lies in an xy pl

ane. One force is \vec{F}_1 = (3.9 N)\hat{i} + (3.3 N)\hat{j}. Find the acceleration of the chopping block in unit-vector notation for each of the following second forces.a) \vec{F}_2= (-3.0N)\hat{i} + (-4.0N)\hat{j}\\b) \vec{F}_2= (-3.0N)\hat{i} + (4.0N)\hat{j}\\c) \vec{F}_2=(3.0N)\hat{i} + (-4.0N)\hat{j}
Physics
1 answer:
kogti [31]3 years ago
3 0

Answer:

Part a)

a = (0.64\hat i - 0.5 \hat j)m/s^2

Part b)

a = (0.64\hat i + 5.21 \hat j)m/s^2

Part c)

a = (4.92\hat i - 0.5 \hat j)m/s^2

Explanation:

As per Newton's II law we know that

F = ma

so we will have

a = \frac{F}{m}

so we will have

a = \frac{F_1 + F_2}{m}

Part a)

a = \frac{(3.9 \hat i + 3.3 \hat j) + (-3\hat i - 4\hat j)}{1.4}

a = \frac{0.9 \hat i - 0.7 \hat j}{1.4}

a = (0.64\hat i - 0.5 \hat j)m/s^2

Part b)

a = \frac{(3.9 \hat i + 3.3 \hat j) + (-3\hat i + 4\hat j)}{1.4}

a = \frac{0.9 \hat i + 7.3 \hat j}{1.4}

a = (0.64\hat i + 5.21 \hat j)m/s^2

Part c)

a = \frac{(3.9 \hat i + 3.3 \hat j) + (3\hat i - 4\hat j)}{1.4}

a = \frac{6.9 \hat i - 0.7 \hat j}{1.4}

a = (4.92\hat i - 0.5 \hat j)m/s^2

You might be interested in
Rita jeptoo of kenya was the first female finisher in the 110th boston marathon. she ran the first 10.0 km in a time of 0.5689 h
stira [4]

Part a

Answer: 17.58 km/h

Average speed=\frac{Total\hspace{1mm}Distance}{Total\hspace{1mm}Time}

Total Distance =10 km

Total time =0.5689 h

\Rightarrow Average speed=\frac{10\hspace{1mm}km}{0.5689\hspace{1mm}h}=17.6 \hspace{1mm}km/h

Part b

Answer: 17.626 km/h

Average speed=\frac{Total\hspace{1mm}Distance}{Total\hspace{1mm}Time}

Total Distance =42.195 km

Total time =2.3939 h

\Rightarrow Average speed=\frac{42.195\hspace{1mm}km}{2.3939\hspace{1mm}h}=17.626\hspace{1mm}km/h

8 0
3 years ago
You have four fixed-volume containers at STP . Container A has 0.5 mol of gas in 11.2 L. Container B has 2 mol of gas in 22.4 L.
Colt1911 [192]

Answer:

Container A and C

Explanation:

ideal gas equation gives P=nRT/V

so at constant Temperature and pressure, P=n/T

Container A and C after dividing number of moles and Volume, are found to be the same=0.0446

8 0
3 years ago
Suppose a car approaches a hill and has an initial speed of
kvv77 [185]

Answer:

a) 1.73*10^5 J

b) 3645 N

Explanation:

106 km/h = 106 * 1000/3600 = 29.4 m/s

If KE = PE, then

mgh = 1/2mv²

gh = 1/2v²

h = v²/2g

h = 29.4² / 2 * 9.81

h = 864.36 / 19.62

h = 44.06 m

Loss of energy = mgΔh

E = 780 * 9.81 * (44.06 - 21.5)

E = 7651.8 * 22.56

E = 172624.6 J

Thus, the amount if energy lost is 1.73*10^5 J

Work done = Force * distance

Force = work done / distance

Force = 172624.6 / (21.5/sin27°)

Force = 172624.6 / 47.36

Force = 3645 N

5 0
3 years ago
A paper pinwheel is spinning in the wind. Which statement is correct about the forces responsible for the rotation?
VikaD [51]

Answer:

Only the perpendicular component of gravity is responsible for the rotation because wind points toward the pivot.

Explanation:

3 0
3 years ago
A projectile falls beneath the straight-line path it would follow if there were no gravity. How many meters does it fall below t
maria [59]

Answer:

Explanation:

Suppose v is the initial velocity and \theta is the angle of inclination

distance traveled in vertical direction in t=1 s

When gravity is present

y=vt+\frac{1}{2}at^2

where y=vertical\ distance

a=acceleration

t=time

v=initial\ velocity

here initial velocity is v\sin \theta [/tex] so

y=v\sin \theta \times 1-\frac{1}{2}gt^2

y=v\sin \theta -0.5g

In absence of gravity

y_2=v\sin \theta \times t

y_2=v\sin \theta \times 1

\Delta y=y_2-y=v\sin \theta -v\sin \theta +0.5 g=4.9\ m

         

4 0
3 years ago
Other questions:
  • What type of fingerprints is invisible to the naked eye?
    14·1 answer
  • An unknown solution has a pH of 8. How would you classify this solution?
    11·1 answer
  • Exit to create electricity using a nuclear power plant, energy from the uranium in the reactor produces lots of ________ in orde
    6·1 answer
  • The point inside the earth where the energy release occurs
    12·1 answer
  • An airplane lands with an initial velocity of 60 m/s and then slows down at 1.5 m/s2 for 30 seconds. What is its final velocity?
    12·1 answer
  • Which conversion is the function of a photovoltaic cell? A) sunlight to mechanical energy B) electricity to heat C) sunlight to
    7·1 answer
  • Diffraction supports the:<br><br> A. wave theory of light.<br><br> B. particle theory of light.
    15·2 answers
  • 5. Three children are at work. One is pushing a chair, another is pushing the sofa and the third one is pushing an empty trolley
    10·1 answer
  • What causes scientific knowledge to change over time?
    15·2 answers
  • A brick sliding across a smooth floor has a coefficient of static friction of s=0.23 and a coefficient of kinetic friction of k=
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!