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
Maru [420]
3 years ago
15

A wrench 20 cm long lies along the positive y-axis and grips a bolt at the origin. A force is applied in the direction 0, 4, −3

at the end of the wrench. Find the magnitude of the force needed to supply 150 N · m of torque to the bolt. (Round your answer to the nearest whole number)
Physics
1 answer:
Andreyy893 years ago
6 0

Answer:

1250 N

Explanation:

length of wrench = 20 cm = 0.2 m

Write the length of wrench in vector form

r = 0.2 j metre

Direction of force= \frac{0i+4j-3k}{\sqrt{0 + 16 + 9}}=\frac{0i+4j-3k}{5}

Let the magnitude of force is F

So, write the force in vector form

F = F  \frac{0i+4j-3k}{\sqrt{0 + 16 + 9}}=\frac{0i+4j-3k}{5}

torque, T = 150 Nm

Torque = T = r x F

150 i =0.2j\times F\frac{0i+4j-3k}{5}

F = 1250 N

Thus, the magnitude of force is 1250 N.

You might be interested in
If 100ml of cold water is added to 100ml of hot water what happens
denis23 [38]
The water will be cool and steam will be created by the hot and cold water reacting together
4 0
3 years ago
A beam of light strikes one face of a window pane with an angle of incidence of 30.0°. The index of refraction of the glass is 1
natka813 [3]

Answer:

(a). The angle of refraction is 19.26°.

(b). That is proved that the rays in air on either side of the glass are parallel to each other

Explanation:

Given that,

Angle of incidence = 30.0°

Index of reflection of glass = 1.52

(a). We need to calculate the angle of refraction for the ray inside the glass

Using snell's law

\dfrac{\sin i}{\sin r}=\mu

\sin r=\dfrac{\sin i}{\mu}

Put the value into the formula

\sin r=\dfrac{\sin 30}{1.52}

r=\sin^{-1}(0.329)

r=19.26^{\circ}

(b). We know that,

The incident ray and emerging ray  is equal then the ray will be parallel.

We need to prove that the rays in air on either side of the glass are parallel to each other

Using formula for emerging ray

\dfrac{\sin e}{\sin r}=\mu

\sin e=\sin r\times \mu

Put the value into the formula

\sin e=0.3289\times 1.52

e=\sin^{-1}(0.499)

e=29.9\approx 30^{\circ}

So, \sin i=\sin e

This is proved.

Hence, (a). The angle of refraction is 19.26°.

(b). That is proved that the rays in air on either side of the glass are parallel to each other

6 0
3 years ago
What determines the period of a pendulum?
Inessa05 [86]

The length of the string must vary, while the angle and acceleration are constant

6 0
3 years ago
Read 2 more answers
The atomic number of magnesium is 12. This means that its nucleus must contain
nasty-shy [4]
12 protons in the nucleus
5 0
3 years ago
A 1000 kg car moves as speed from 10 m/s to 30 m/s in 20 seconds. What is the average speed ? What is the acceleration ? What is
8_murik_8 [283]

Answer: divide

Explanation:

6 0
3 years ago
Other questions:
  • An object travels at a speed of 7500 cm/sec . how far will it travel in kilometers in one day
    6·1 answer
  • A constant voltage of 3.00 V has been observed over a certain time interval across a 3.00 H inductor. The current through the in
    11·1 answer
  • The force that opposes motion to moving parts is _____
    15·1 answer
  • Why was the concern over global cooling replaced with a concern over global warming?
    9·1 answer
  • Arrange the phases of the Moon in order of increasing rising time, from the phase with the earliest rising time at 12:00 a.m. to
    6·1 answer
  • A planned high-speed train between Houston and Dallas will travel a distance of 386 kilometers in 5.40 × 10^3 seconds. What is t
    13·1 answer
  • Anybody know the answer to this ?
    9·1 answer
  • Find the frequency of light emitted in the transition from the 148th orbit to the 139th orbit. Find the frequency of light absor
    10·1 answer
  • A force that pushes or pulls is known as
    10·2 answers
  • Who was the first scientist to explore the moon with a telescope? A Isaac Newton B Johannes Kepler C Nicolaus Copernicus D Galil
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!