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
andrew11 [14]
3 years ago
10

A displacement is related to time as x = A sin(2?ft), where A and f are constants. Find the dimensions of A. [Hint: A trigonomet

ric function appearing in an equation must be dimensionless.]
A. L * T
B. L / T
C. L
D. T / L
E. T
Physics
1 answer:
Luba_88 [7]3 years ago
5 0

Answer:

The right option is C. i.e L

Explanation:

Dimension of a quantity is the collection of the indexes of each of the fundamental quantities contained in it.

Therefore, to get the dimension of A in the equation

X=Asin(2(pi)ft)

Making A the subject of the formula

A = X / (sin(2(pi)ft)

Since sin(2(pi)ft which is a trigonometric function does not have a dimension

A = L

The dimension of A is L

You might be interested in
What is a travelling wave and a standing wave? What are the differences between both of them?
solniwko [45]
What is a travelling wave and a standing wave? What are the differences between both of them?

Answer: First of all we have to understand that a traveling wave is an organized disturbance traveling with a well defined wave speed. On the other hand standing waves are the combination of period waves with their reflected waves creating double sided waves. The differences between them is that standing waves have nodes and antinodes while a traveling wave does not.

I hope it helps, Regards.
7 0
3 years ago
Read 2 more answers
You may have noticed runaway truck lanes while driving in the mountains. These gravel-filled lanes are designed to stop trucks t
kati45 [8]

Answer:

The  coefficient of kinetic friction  \mu_k =  0.724

Explanation:

From the question we are told that

   The  length of the lane is  l =  36.0 \  m

    The speed of the truck is  v  =  22.6\  m/s

     

Generally from the work-energy theorem we have that  

    \Delta KE  =   N  *  \mu_k *  l

Here N  is the normal force acting on the truck which is mathematically represented as

     \Delta KE is the change in kinetic energy which is mathematically represented as

        \Delta KE =  \frac{1}{2} *  m *  v^2

=>     \Delta KE =  0.5  *  m *  22.6^2

=>      \Delta KE =  255.38m

        255.38m =    m *  9.8  *  \mu_k *   36.0

=>     255.38  =    352.8  *  \mu_k

=>   \mu_k =  0.724

 

6 0
3 years ago
After a long night of cramming for a test, your college room-mate hits his head forcefully against the wall of your room in desp
zhannawk [14.2K]

Answer: the wall contracts the force exerted by his head. The wall produces the opposite force which is equal to the force his head bangs the wall with.

Explanation: if his head exerts a much greater force than the wall can counteract the wall will be destroyed, if the wall exerts a much greater force than his head exerts he will be pushed far back and might even suffer a broken head.

The wall in this case provides the opposite reactive force.

6 0
3 years ago
A 0.05-kg car starts from rest at a height of 0.95 m. Assuming no friction, what is the kinetic energy of the car when it reache
statuscvo [17]
The kinetic energy of the car is A.) 0.466 J
6 0
2 years ago
Read 2 more answers
A student is helping her teacher move a 9.5 kg box of books. What net sideways force must she exert on the box to slide it acros
melisa1 [442]
Calculate the magnitude of the linear momen- tum for each of the following cases a) a proton with mass 1.67 × 10-27 kg mov- ing with a velocity of 6 × 106 m/s. Answer in units of kg · m/s.
8 0
3 years ago
Read 2 more answers
Other questions:
  • The Tour de France is the biggest bicycle race in the world. The race lasts for three weeks and is one of the biggest sporting e
    6·1 answer
  • How do I calculate the speed of light and the distance between the earth and the moon?
    11·1 answer
  • What is a supernova type ia
    13·1 answer
  • Assume a beam of light hits the boundary separating medium 1, with index of refraction n1 and medium 2, with index of refraction
    13·1 answer
  • Suppose you have two meter sticks, one made of steel and one made of invar (an alloy of iron and nickel), which are the same len
    15·1 answer
  • What is the resultant of the two vectors shown?
    10·1 answer
  • A boy having 0.2kg toy tied with a sting, having force 2N, angle 60º displaces it 5 m. What is the work done?
    10·1 answer
  • You are walking around your town. First you walk north from your startingposition and walk for 2 hours at 1 km/h. Then, you walk
    15·1 answer
  • Look at the distance-time graph below. It shows Angela's journey as she walks to the end of the road and back. The gradient repr
    8·1 answer
  • 2 grenades have been dropped, one in the pool, one on land, where do you dive for cover?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!