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
Aleonysh [2.5K]
3 years ago
5

A box with a mass of 70 kg sits on a slope of 40 degrees. you are tasked with pushing the box up the slope. the static (stationa

ry) coefficient of friction between the box and the slope is 0.55, and the kinematic (while moving) coefficient of friction is 0.35.
a. what is the minimum force required to keep the box from slipping?
b. what is the minimum force required to begin pushing the box up the slope?
c. what is the minimum force required to maintain the box moving up the slope?
d. what is the force required to accelerate the box up the slope at 0.65 m/s2 once it is already moving upwards? give your answers in newtons (n).
Physics
1 answer:
Scrat [10]3 years ago
5 0

PART a)

Force of friction on the box is given by formula

F_f = \mu mg cos\theta

F_f = 0.55 * 70 * 9.8 * cos40

F_f = 289 N

now the component of weight along the inclined

F_g = mgsin40

F_g = 70*9.8 * sin40

F_g = 441 N

now by force balance the force required to hold the block

F_{net} = F_g - F_f

F_{net} = 441 - 289 = 152 N

Part b)

to slide the block upwards the friction force will be upwards along the plane

F = F_g + F_f

F = 441 + 289 = 730 N

Part c)

Kinetic friction on the block is given by

F_k = \mu_k mg cos\theta

F_k = 0.35 * 70 * 9.8 * cos40

F_k = 184 N

now in order to move it up

F = F_g + F_k

F = 441 + 184

F = 625 N

Part d)

now to accelerate upwards by 0.65 m/s^2 we can use

F - F_g - F_k = ma

F - 441 - 184 = 70* 0.65

F = 670.5 N

You might be interested in
At time t = 1, a particle is located at position (x, y) = (5, 2). If it moves in the velocity field F(x, y) = xy − 1, y2 − 11 fi
Amanda [17]

Answer:

Its approx location is (5.18,1.9)

Explanation:

Using F( 5,2) = ( xy-1, y²-11)

= ( 5*2-¹, 2²-11)

= (9,-5)

= so at point t=1.02

(5,2)+(1.02-1)*(9,-5)

(5,2)+( 0.02)*(9,-5)

(5+0.18, 2-0.1)

= ( 5.18, 1.9)

3 0
3 years ago
A rocket explodes as it begins to launch. As a result, the rocket is destroyed
Alekssandra [29.7K]

Answer:

probably B

Explanation:

it's not their job to sort out the cost of cleaning it up or worry about the public opinion. they should only make sure it doesn't happen again so they should find out why it happened

7 0
2 years ago
Read 2 more answers
A cart is pulled by a force of 250 N at an angle of 35° above the horizontal. The cart accelerates at 1.4 m/s2. The free-body di
Vikki [24]

Answer:

Mass of the cart = 146 kg

Explanation:

A cart is pulled by a force of 250 N at an angle of 35° above the horizontal.

The cart accelerates at 1.4 m/s² horizontally.

Horizontal force = Fcosθ = 250 cos35° = 204.79N

We have F = ma

Substituting

        204.79 = m x 1.4  

              m = 146.28 kg = 146 kg

Mass of the cart = 146 kg

3 0
3 years ago
What type of System interact with its environment ​
Oksi-84 [34.3K]

Answer:

System management

Explanation:

8 0
3 years ago
Question 15 of 15
castortr0y [4]

Answer:

a and b

Explanation:

are the correct answers

7 0
3 years ago
Other questions:
  • What is the final electron receptor in the light reaction of photosynthesis?
    6·1 answer
  • the pressure of a sample of gas was 97.8 kPa and the volume of the gas was 3.75 l. if the gas occupied a container with a volume
    5·1 answer
  • When a simple machine multiplies force, it decreases
    15·1 answer
  • What is the mathematical relationship between voltage, resistance, and current?
    10·1 answer
  • Which statement accurately describes a similarity between Earth and Venus?
    5·1 answer
  • The nearest star to Earth is Proxima Centauri, 4.3 light-years away.
    7·1 answer
  • What is the term that describes<br> the material through which a wave travels?
    7·1 answer
  • How does the electric force between two charged objects change when the
    7·1 answer
  • A. If an electron of 16 eV had a head-on collision with a Cs atom at rest, what would be the kinetic energy in eV) of the recoil
    15·1 answer
  • An experiment is designed to see if sleep affects the number of vocabulary words subjects can remember. The dependent variable i
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!