A 20 kg box moving at an initial speed of 10 m/s slides 25 m to the right on a horizontal floor before it comes to a complete stop. What is the coefficient of friction between the box and the floor?

Answers

Answer 1
Answer:

The coefficient of friction between the 20 kg box and the floor is 0.2

We'll begin by calculating the acceleration of the box. This can be obtained as follow:

Initial velocity (u) = 10 m/s

Final velocity (v) = 0 m/s

Distance (s) = 25 m

Acceleration (a) =?

v² = u² + 2as

0² = 10² + (2 × a × 25)

0 = 100 + 50a

Collect like terms

0 – 100 = 50a

–100 = 50a

Divide both side by 50

a = –2 m/s²

Finally, we shall determine the coefficient of friction. This can be obtained as follow:

Mass (m) = 20 Kg

Acceleration (a) = –2 m/s²

Acceleration due to gravity (g) = 10 m/s²

Frictional Force (F) = –ma = – (20 × –2) = 40 N

Normal reaction (N) = mg = 20 × 10 = 200 N

Coefficient of friction (μ) =?

\mu = (F)/(N) \n\n\mu = (40)/(200)\n\n

μ = 0.2

Therefore, the coefficient of friction between the box and the floor is 0.2

Learn more: brainly.com/question/11902512

Answer 2
Answer:

The coefficient of friction between the box and the floor is 0.204.

Given data:

The mass of box is, m = 20 kg.

The initial speed of box is, u = 10 m/s.

The sliding distance is, s = 25 m.

The linear force acting on the fox is providing it necessary friction. Then,

F = -F_(f)\nma = -\mu mg\na= -\mu * g

Here, a is the linear acceleration and \mu is the coefficient of friction between the box and the floor.

Applying the third kinematic equation of motion as,

v^(2)=u^(2)+2as\n0=10^(2)+2(a)* 25\na = (-100)/(50)\na =- 2\;\rm m/s^(2)

Then,

a=- \mu * g\n-2= -\mu * 9.8\n\mu = 0.204

Thus, we can conclude that the coefficient of friction between the box and the floor is 0.204.

Learn more about frictional force here:

brainly.com/question/23575742?referrer=searchResults


Related Questions

The law of suggests that the orbit of planets is not circular but .
1. Read each description below. Choose the force diagram (free-body diagram) that best represents the description. The forces are acting on the object in red type. You may neglect the effects of air resistance. A. Mindy's Christmas tree ornament hangs motionless on a tree. B. Corey's Christmas tree ornament is falling to the floor. C. A ball thrown by Ginger is moving upward through the air. D. A ball dropped by Melissa is falling downward toward the floor. E. Matt's book is motionless on a table. F. A ball that was thrown upward by Yvonne is at the top of its path. For each statement, please choose a diagram representing the force on the object. (Diagrams are in the attachment)
Which statement explains the first law of thermodynamics?.
The Biot-Savart force law does not apply if the velocity is parallel to the field direction. a. True b. False
A car is moving in uniform circular motion. If the car's speed were to double to keep the car moving with the same radius, the acceleration wouldincrease by a factor of 2increase by a factor of 4decrease by a factor of 2decrease by a factor of 4

Type 2 diabetes accounts for _______ percent of all cases of diabetes

Answers

Type 2 diabetes is a common and illness that is largely preventable. In adults, types about 90 to 95 percent of all diagnosed cases of diabetes; the remainder are adult-onset (or adult-diagnosed) type 1 diabetes, a form of diabetes for which the cause is unknown

90-95 Percent,  (I took the test and got an 100).

Brilliant***
Thank you

Answers

Given:

Mass of the Beaker = 12.023 g

Total Mass of the Beaker and the Ball = 23.050 g

To Find:

The Mass of the Ball.

Solution:

Total Mass of the Beaker and the Ball - Mass of the Beaker = Mass of the Ball

23.050 g - 12.023 g = 11.027 g

Answer:

The Mass of the Ball is 11.027 g

The energy released from the sun is the result of a nuclear fission reaction?

Answers

The statement is false because the energy released from the sun is the result of a nuclear fusion reaction. This type of nuclear reaction involves the fusing of two hydrogen nuclei to form a heavier helium atom. The energy involved here is much greater than nuclear fission, and involves higher temperature.

Answer:

false

Explanation:

my brain is always correct

What process are sedimentary rocks formed from igneous rocks?

Answers

Weathering and erosion cause igneous rocks to turn into sediments which are compressed into sedimentary rocks

A stone is thrown horizontally at 8.0 m/s from a cliff 78.4 m high. How far from the base of the cliff does the stone strike the ground?

Answers

A stone is thrown horizontally at 8.0 m/s from a cliff 78.4 m high.  The distance from the base of the cliff does the stone strike the ground is 64 m.

What is distance?

Distance is defined as the entire path traveled by an object in motion, regardless of journey direction. Three sight distances are primarily taken into account in the geometric design of road construction. Things that can be measured in terms of length include the dimensions of a section or a room. Distance is the separation between two things, like two cities or two points. There will never be a negative value for either length or distance.

A projectile is an object that is launched vertically into the air and moves while being pulled by gravity. A horizontally launched object that defies gravity is referred to as a projectile.

Thus, a stone is thrown horizontally at 8.0 m/s from a cliff 78.4 m high.  The distance from the base of the cliff does the stone strike the ground is 64 m.

To learn more about distance, refer to the link below:

brainly.com/question/15172156

#SPJ2

....................................................................
64 meters

A object of mass 33 is dropped from a height of 85 meters. Calculate the average power developed by the object in falling through this distance.Take g as 9.81 m/s^2

give the answer in watts to three significant figures

Answers

Power  =  Work done  /  Time taken.

Work done =  mgh
Mass, m = 33kg    ( Am presuming it is 33 kg).
h =  85 m.
Work done =  33 * 9.81* 85 =  27517.05  J.

Time taken.
Since object was dropped from height, it fell under gravity.
Using    H =  ut  +  (1/2) * gt^2.              u = 0.
               H =  1/2 gt^2.
               t  =   (2H/g) ^ (1/2)
               t  =  (2*85/9.81) ^ 0.5 =  4.1628 s.

Power  =    27517.05 / 4.1628 = 6610.23 Watts.
             =  6610 W  to  3 S. f.