A box is placed on a 30o frictionless incline. What is the acceleration of the box as it slides down the incline

Answers

Answer 1

Answer:

2.78m/s²

Explanation:

Complete question:

A box is placed on a 30° frictionless incline. What is the acceleration of the box as it slides down the incline when the co-efficient of friction is 0.25?

According to Newton's second law of motion:

[tex]\sum F_x = ma_x\\F_m - F_f = ma_x\\mgsin\theta - \mu mg cos\theta = ma_x\\gsin\theta - \mu g cos\theta = a_x\\[/tex]

Where:

[tex]\mu[/tex] is the coefficient of friction

g is the acceleration due to gravity

Fm is the moving force acting on the body

Ff is the frictional force

m is the mass of the box

a is the acceleration'

Given

[tex]\theta = 30^0\\\mu = 0.25\\g = 9.8m/s^2[/tex]

Required

acceleration of the box

Substitute the given parameters into the resulting expression above:

Recall that:

[tex]gsin\theta - \mu g cos\theta = a_x\\[/tex]

9.8sin30 - 0.25(9.8)cos30 = ax

9.8(0.5) - 0.25(9.8)(0.866) = ax

4.9 - 2.1217 = ax

ax = 2.78m/s²

Hence the acceleration of the box as it slides down the incline is 2.78m/s²


Related Questions

If there is an unbalanced force acting on an object, the object will?


(A)Accelerate
(B)Move at a constant velocity
(C)Remain at rest
(D)Change direction

Answers

Answer:

A

Explanation:

because newton's second law states that if a resultant force acts on an object then, it will accelerate in the direction of the resultant force

How long will it take an object to move 50 meters if the object is traveling with an average speed of 2 meter per second? (Answer to the nearest 100th decimal with units)

Answers

Answer:

26

Explanation:

WHAT IS THE NET FORCE (CENTRIPETAL FORCE) FOR A 1500 KG
CAR DRIVING 5 M/S AROUND A CURVE, 10 M IN RADIUS?

Answers

A :-) Given - m = 1500 kg
v = 5 m/s
r = 10 m
Solution -
F = mv^2 by r
F = 1500 x 5 x 5 by 10
( cut 5 and 10 because 5 x 2 = 10 )
F = 1500 x 5 by 2
( cut 2 and 1500 because
2 x 750 = 1500 )
F = 750 x 5
F = 3750 N
.:. The centripetal force is 3750 N.

What is Physics? How is Physics used in your everyday life? Give at least two examples and explain your answer. You need at least 3

Answers

Answers:

The transportation industry is no stranger to the manipulation of everyday physics. Cars and trains utilize the wheel, which provides a smooth, steady motion.

The ears hear sounds which occur through the movement of air molecules, and the chemistry that drives all of biology depends on the physics of energy and molecules. Every day, for example, plants absorb sunlight, water, and carbon dioxide, creating glucose and releasing oxygen as a byproduct.

Brainlist pls!

A weight lifter holds a 800 newton barbell over his head at a height of 6 meters. How much work does the weight lifter do on the barbell?
A. 4800 J
B. 0 J
C. 4800 W
D. 0 W

Answers

Answer:

B. o J

hope it helps......

Answer:

A. 4800J

Explanation:

use the formula of work u also can get answer

A pizza delivery car, parked 200 m East of a restaurant, moves to a position 600 m West of the same restaurant in 18 s. Calculate the average velocity of the delivery car in moving to its new position

Answers

Answer:

22.2m/s

Explanation:

Average velocity is expressed as;

Average velocity = Displacement/Time

Get the displacement

If a pizza delivery car, parked 200 m East of a restaurant and moves to a position 600 m West

The displacement = 600 -200

Displacement = 400m

Time = 18s

Substitute and get the velocity;

Average velocity = 400/18

Average velocity = 22.2m/s

Hence the average velocity of the delivery car in moving to its new position is 22.2m/s

One model of tennis ball launcher has advertised that it is capable of
imparting 15,000 J of kinetic energy to a 0.5 kg ball initially at rest. A
student carefully measures the compression of the spring to be 0.10 m-
What is the value of the spring constant for the tennis ball launcher
according to the data provided?

Answers

Answer:

The answer for the first question is: 3,000,000 N/m

The answer for the second question is: If the question was, "Which of the following is the best example of kinetic energy being transformed into potential energy?" then the answer is winding the spring on a toy car

Explanation:

For the first question: I have no explanation, I just got it right on my test so I thought i'd help you out.

For the second question: (i'll try to explain the best I can).

Kinetic energy = energy in motion

Potential energy = stored energy

so when winding the spring of a car you are using energy in motion (kinetic energy) to create stored energy (potential energy) that will be used to move the car. So it goes something like:

kinetic energy > potential energy > kinetic energy

could anyone solve this...its kinda urgent.​

Answers

Answer:

1) A = lost volts, B = lower, C = a small pressure, D, = Newtons kg, E = Modulation.

2) A = True(?), B = true, C = True, D = True, E = not sure sorry.

Explanation:

Please help!
Tell me types of minor sports except football,
basketball,volleyball,
handball,rugby and waterpolo​​

Answers

ice hokey, indoor soccer

Why does a third class lever cannot magnify force?​

Answers

Explanation:

The third class lever cannot magnify our force because in third class lever the effort it between the load and the fulcrum. Also, in this type of lever no matter where the force is applied, it is always greater than the force of load. Hence, That type of lever cannot magnify our force.

A car drives 16 miles south and then 12 miles west. What is the magnitude of the car's displacement?
04 miles
16 miles
20 miles
28 miles

Answers

Answer:

The answer is 20 miles

Explanation:

You would use a^2+b^2=c^2 to get the displacement.

So 16^2+12^2=c^2

400=c^2

c=20

The ratio between the velocity of microwaves to the velocity of gamma ray in air is_____ .

less than 1
greater than 1
equal to 1
no correct answer

Answers

Answer:

velocity of all electromagnetic waves are

[tex] \huge3 \times {10}^{8} m {s}^{ - 1} [/tex]

So, the ratio is equal to 1.

A student is playing with a pendulum. He gives the ball a push and watches the ball as it swings. After a while, the ball stops swinging.Why does the ball stop swinging?

Answers

A because it’s not good

Plz help me and HAPPY NEW YEAR ♧
Energy stored in the bonds between atoms is called
A.kinetic energy.
B.mechanical energy.
C.chemical energy.
D.thermal energy.

Answers

Answer:

it's answer is Compound chemical energy

hope it helps you

I need help with questions #2 and #3

Answers

Answer:

Im sorry i can't read it is to small

A weather balloon is inflated with 0.80 m3 of helium (He) at ground level (pressure is 1.0 atm). The balloon is released and rises into the air. What is the atmospheric pressure when the gas in the balloon expands to a volume of 3.32 m3?

Answers

Answer: 0.24 atm

Explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.  

The equation given by this law is:

[tex]P_1V_1=P_2V_2[/tex]

where,

[tex]P_1[/tex] = initial pressure of gas = 1.0 atm

[tex]V_1[/tex] =  initial volume of gas = [tex]0.80 m^3[/tex]

[tex]P_2[/tex] = final pressure of gas= ?

[tex]V_2[/tex] = final volume of gas = [tex]3.32m^3[/tex]

Putting values in above equation, we get:

[tex]1.0\times 0.80m^3=P_2\times 3.32m^3[/tex]

[tex]P_2=0.24atm[/tex]

Thus the atmospheric pressure of the gas is 0.24 atm

What are clouds called that generate rain?
A) cirrus clouds

B) nimbus clouds

C) stratus clouds

D) cumulus clouds

Answers

Answer:

B= nimbus clouds

Answer:

B= nimbus clouds

Define pressure in short

Answers

Answer:

hope it helps......

Explanation:

Pressure, in the physical sciences, the perpendicular force per unit area, or the stress at a point within a confined fluid.

the valency of oxygen is 2​

Answers

Answer:

Yes the valency of oxygen is 2

A physics student throws a ball thrown horizontally from the top of a building with a speed of 8 m/s. The student measures the height of the building to be 15m.

Answers

Answer:

Following are the solution to the given question:

Explanation:

Please find the complete question in the attached file.

[tex]a_x = 0\\\\a_y = -g = -9.81\ \ \frac{m}{s^2} \\\\v_{iy} = 0 \\\\y = v_{iy} \times t+ \frac{1}{2ay} \times t^2 \\\\ 15 = \frac{1}{2} \times 9.8 \times t^2 \\\\t = \sqrt{(2 \times \frac{15}{9.8})} \\\\[/tex]

  [tex]= 1.75 \ sec \\\\[/tex]

Distance:

[tex]x = v_{ix} \times t \\\\[/tex]

  [tex]= 8 \times 1.75\\\\= 14 m[/tex]

Using the concept of motion, the answers to the question posed on the motion of a dropped ball are :

Vertical component of acceleration = - 9.8 m/Horizontal component of acceleration = 0Initial vertical Velocity = 0Time taken = 1.75 seconds Landing distance from building = 14 meters

The vertical component of acceleration is denoted as [tex]a_{y} [/tex] :

The gravitational force acting on the ball in the downward direction has an acceleration of - 9.8 m/s². Hence,

[tex]V_{y} = 9.8 m/s^{2} [/tex]

Gravitational force only acts downwards along the vertical, hence, horizontal component of acceleration will be Zero.

[tex]V_{y} = 0 [/tex]

then the vertical component of x, will be 0

[tex]V_{x} [/tex] = 0

The initial vertical velocity ; [tex]V_{iy} is Zero [/tex] :

[tex]V_{iy} = 0 [/tex] :

The time taken :

S = 0.5gt² ; S = distance = 15 meters ; g = - 9.81

15 = 0.5(9.8)t²

15 = 4.9t²

t² = (15 ÷ 4.9)

t² = 3.061

t = √3.061

t = 1.75 seconds

Landing Distance from building :

Horizontal speed × time taken

[tex]V_{ix} \times 1.75 [/tex]

[tex]8 \times 1.75 = 14 meters [/tex]

Therefore, the ball landed 14 meters away from the building.

Learn more : https://brainly.com/question/13981527

A tennis ball is hit with a speed of 30 m/s at an angle of 40 degrees above the horizontal. What is the range of the ball?

Answers

Answer:

90.44 m

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 30 m/s

Angle of projection (θ) = 40°

Acceleration due to gravity (g) = 9.8 m/s²

Range (R) =?

The range of the ball can be obtained as follow:

R = u² Sine 2θ / g

R = 30² Sine (2×40) / 9.8

R = 900 Sine 80 / 9.8

R = 900 × 0.9848 / 9.8

R = 886.32 / 9.8

R = 90.44 m

Therefore, the range of the tennis ball is 90.44 m

The vehicles are fitted with shockers why​

Answers

Shockers acts as a shock absorber in the vehicle making the ride comfortable. When vehicle goes on rough road then it gets shocks from the road deformities the springs present in the shockers provide counter force and thus making the vehicle stable ride without shock.

[I copied this from the internet, but hope it helps!]

The radius of a Bromine (Br) atom is 100 pm. What is its' Circumference?

Answers

Answer:

The circumference of the bromine atom is 628 pm

Explanation:

The formula for the circumference of a circle is 2πr.

Where π is 3.14 and r is the radius of the circle.

Since atoms have a circular shape. The formula above can be used to determine the circumference of an atom (bromine atom in particular).

circumference of the bromine atom is 2πr (where r is 100 pm)

2 × 3.14 × 100 = 628 pm.

The circumference of the bromine atom is 628 pm

please help me out ! I will be marking brainliest! thanks! <3

Answers

Answer:

#1. decrease

#2. increases

#3. increases

#4.increases

Explanation:

this will have to do with that which statement describes seismic waves?​

Answers

Answer:

an elastic wave in the earth produced by an earthquake or other means

Explanation:

Answer:

They carry energy

Explanation:

Lavon is going to the beach on a hot summer day. He wants to take a bottle of cold water
What material would be best to wrap the bottle to keep the water cool?

Answers

Answer:

aluminum foil and cotton

Explanation:

It was found that the aluminum foil and cotton were the best insulators for keeping the water cold while the Styrofoam sheets and the bubble wrap were the worst two insulators for keeping the water cold.

A plant is said to be an exact copy of the parent plant when it has ALL the same characteristics that the parent plant has. Do you agree with this statement? Justify.

Answers

Explanation:

In Asexual reproduction , part of parent plant is detached and grows to become a complete plant. In this process plant produced is generally identical to the its parent plant. It has ALL the same characteristics that the parent plant has. However, this is not true in case of sexual reproduction of plants.

according to Newton's first law of motion an object at rest will remain at rest and an object in motion will continue to move at a constant velocity because of net force are
A balanced
B unbalanced
C acting in Paris
D the same​

Answers

Answer:

i think its b

Explanation:

its been awhile since I've worked on Newton's first law

2. A lever has efficiency 60% and mechanical advantage 4, then
(i) Calculate effort required to lift 1000 N load. [250 N] (ii
(ii) Calculate velocity ratio of the lever. [VR = 6.66]
(iii) Find out output work to turn load up to 20 m. [20,000 Nm]
1:0​

Answers

Answer:

(i) Effort = 250 N

(ii) Velocity ratio = 6.667

(iii) work output = 20 000 Nm

Explanation:

Given: efficiency = 60%, mechanical advantage = 4.

(i) Mechanical advantage = [tex]\frac{Load}{effort}[/tex]

Load = 1000 N

⇒ Effort = [tex]\frac{Load}{Mechanical advantage}[/tex]

             = [tex]\frac{1000}{4}[/tex]

             = 250 N

Effort = 250 N

(ii) Efficiency = [tex]\frac{Mechanical advantage}{velocity ratio}[/tex] x 100%

Velocity ratio = [tex]\frac{Mechanical advantage}{Efficiency}[/tex] x 100%

                      = [tex]\frac{4}{60}[/tex] x 100

                      = 6.667

Velocity ratio = 6.667

(iii) Work output = Load x distance moved by load

                         = 1000 x 20

                         = 20 000

Work output = 20 000 Nm

A basketball player jumps straight up with a speed of 14 m/s. How high did the player jump?

Answers

Answer:

ttrftyrdy

Explanation:

tytrterte

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