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]
3 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]3 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
Mars has a mass of about 6.4 x 1023 kg, and its moon Phobos has a mass of about 9.6 x 1015 kg. If the magnitude of the gravitati
Sliva [168]

Answer:9.55×10^-4 metre

Explanation:

8 0
3 years ago
Witch planet takes 84 earth year's to orbit the sun just once
alekssr [168]
Uranus takes 84 earth years to make a full rotation around the sun<span />
8 0
3 years ago
Read 2 more answers
What are the characteristics of the image based on the values?Check all that apply
Ahat [919]

inverted, real, behind the lens is the answer

8 0
3 years ago
Read 2 more answers
As the train in the image moves to the right how does the train horn sound to person a?
alina1380 [7]

Answer:

Explanation:

Person A's velocity relative to the train is 0.  Therefore, the pitch of the horn will not change.

3 0
3 years ago
Read 2 more answers
O
Sergio [31]

see

below

Explanation:

refractive index = speed of light in vacuum / speed of light in medium

light travels at a speed of 3.0 x 10^8 m/s in vacuum

refractive index = 3.0 x 10^8 / 2.0 x 10^8

refractive index = 1.5

hope this helps, please mark it

4 0
3 years ago
Other questions:
  • PLEASE ANSWER ASAP
    8·1 answer
  • Two waves are superposed. one wave has an amplitude of 5 cm, and other has an amplitude of 4 cm. What is the resultant amplitude
    12·1 answer
  • Diffinition of nebula
    7·1 answer
  • When a hot metal cylinder is dropped into a sample of water, the water molecules _____________________ to reach the final temper
    10·2 answers
  • (Atwood’s Machine): Two masses, 9 kg and 12 kg, are attached by a lightweight cord and suspended over a frictionless pulley. Whe
    15·2 answers
  • To meet the minimum required instrument flight experience to act as a pilot in command of an aircraft under IFR, you must have l
    9·1 answer
  • How to find aceleration
    7·1 answer
  • A student wants to determine the speed of sound at an elevation of one mile. To do this the student performs an experiment to de
    8·1 answer
  • 1. Do you think that hand signals are important in officiating games? why?​
    9·1 answer
  • Define electric field intensity​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!