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
steposvetlana [31]
2 years ago
13

A block of mass m is placed on a smooth wedge of inclination θ . The whole system is accelerated horizontally so that the block

does not slip on the wedge. The force exerted by the wedge on the block has a magnitude: (A) mg tan θ (B) mg sin θ (C) mg cos θ (D) mg sec θ
Physics
1 answer:
Helen [10]2 years ago
6 0

Answer: mg/Cosθ

Explanation:

Taking horizontal acceleration of wedge as 'a'

FCosΘ = FsinΘ

F = mass(m) × acceleration(a) = ma

For horizontal resolution g = 0

Therefore,

Horizontal = Vertical

maCosΘ = mgSinΘ

aCosΘ = gSinΘ

a = gSinΘ/CosΘ

Recall from trigonometry :

SinΘ/Cosθ = tanΘ

Therefore,

a = gtanΘ

Normal force acing on the wedge:

mgCosΘ + maSinΘ - - - - (y)

Substitute a = gtanΘ into (y)

mgCosΘ + mgtanΘsinΘ

tanΘ = sinΘ/cosΘ

mgCosΘ + mgsinΘ/cosΘsinΘ

mgCosΘ + mgsin^2Θ/cosΘ

Factorizing

mg(Cosθ + sin^2Θ/cosΘ)

Taking the L. C. M

mg[(Cos^2θ + sin^2Θ) /Cosθ]

Recall: Cos^2θ + sin^2Θ = 1

mg[ 1 /Cosθ]

mg/Cosθ

You might be interested in
Compare the geology of Callisto, Ganymede, and Titan.
V125BC [204]

Explanation: Ganymede, Callisto, Titan are the moons of outer planets or gaseous planets which are made up of ice and rock. Callisto is an ice-covered moon and has no inner or outer activity and is considered basically geologically dead. Ganymede has rocky core and shows signs of tectonic activity, including long cracks in the crust and regions of young surface terrain. Titan has active geology of liquid hydrocarbons on the surface, rain back onto the surface and evaporation into the atmosphere. It has similar size, composition and mass to Ganymede and Callisto.

8 0
3 years ago
What accurately describes what happens when water vapor condenses into dew in terms of energy
Andreyy89
The awnser is condensation
5 0
2 years ago
I'm confusion, can I please get help???
kotykmax [81]

Answer:

Anything below 7.0 is acidic, so the range would be 0 to 7.

Neutral is simply 7, in the middle of the scale.

Lastly, anything above 7.0 is basic or alkaline, so that would be 7 to 14.

Good luck, I hope this helps

7 0
2 years ago
After striking both mirrors, at what angle relative to the incoming ray does the outgoing ray emerge?
PIT_PIT [208]
The appropriate response is Zero degrees. The beam will leave the two mirrors along a way parallel to the one it came in on. This is the guideline of the corner reflector, which is frequently utilized as a radar target. Take note of that the corner reflector utilizes three reflecting surfaces (that are set up at 90o from each other) rather than the two like are being utilized here. Wikipedia has a truly awesome drawing that shows this two-dimentional issue pleasantly. A moment connection is given to the article on the corner reflector and the 3-D angles.
4 0
2 years ago
What is a force that attracts all matter to each other?
Temka [501]
The answer is gravity. I hope this helps. 
5 0
3 years ago
Read 2 more answers
Other questions:
  • The owner of a van installs a rear-window lens that has a focal length of -0.340 m. When the owner looks out through the lens at
    11·1 answer
  • What is the symbol name?
    10·1 answer
  • Two identical cars collide head on. Each car is traveling at 100 km/h. The impact force on each car is the same as hitting a sol
    13·1 answer
  • In 1993, Cuban athlete Javier Sotomayor set the world record for the high jump. The gravitational potential energy associated wi
    5·1 answer
  • The spectrum of a distant star shows that one in 2 e6 of the atoms of a particular element is in its first excited state 7.5 eV
    12·1 answer
  • 11. A cyclist accelerates from 0 m/s to 10 m/s in 3 seconds. What is his acceleration ? Is this acceleration higher than that of
    7·1 answer
  • Boys A and B, are pulling a heavy cabinet at the same time with 5 N of force
    12·1 answer
  • The greater the mass of an object
    8·1 answer
  • State two devices that transfer heat out of a cool environment into a warm environment​
    10·1 answer
  • 1. Ignore friction and determine an expression for the distance d the boxes travel before coming to rest. Choose the floor as th
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!