Matt is driving his car around a curve that has a radius of 40 m. If his speed is 25 m/s as he negotiates the curve, find the centripetal acceleration for the curve.
A- 13.9 m/s2
B- 24.6 m/s2
C- 15.6 m/s2
D- 7.25 m/s2

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf a_{c} = 15.6\ m/s^2}[/tex]

Explanation:

Given Data:

Radius = r = 40 m

Speed = v = 25 m/s

Required:

Centripetal Acceleration = [tex]\sf a_{c}[/tex] = ?

Formula:

[tex]\sf a_{c} = \frac{v^2 }{r}[/tex]

Solution:

[tex]\sf a_{c} = \frac{v^2}{r} \\\\a_{c} = \frac{(25)^2}{40} \\\\a_{c} = \frac{625}{40} \\\\a_{c} = 15.6 m/s^2\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

Jim and Bob send a car careening off a cliff. The car has a velocity of 16 m/s when it went off the cliff and it lands 35 m from the base of the cliff. How long was the car in the air? How high is the cliff?

Answers

Answer:

The time spent in air by the car is 2.19 s

The height of the cliff is 58.5 m

Explanation:

Given;

initial velocity of the car, u = 16 m/s

horizontal distance traveled, R = 35 m

The horizontal distance or range of a projectile is given as;

R = vt

where;

t is the time spent in air by the projectile

t = R/v

t = 35 / 16

t = 2.19 s

The height of the cliff is given as;

h = ut + ¹/₂gt²

h = (16 x 2.19) + ¹/₂(9.8)(2.19)²

h = 58.5 m

Sam kicks a soccer ball with an initial velocity of 40 ms-1. If he kicked the ball at an angle of 550, how far did he kick the ball? What was its maximum height? How long was it in the air.

Answers

Answer:

1. Range = 153.42 m.

2. Maximum height = 54.78 m

3. Time of flight = 6.69 s

Explanation:

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

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

1. Determination of the range.

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

Acceleration due to gravity (g) = 9.8 ms¯²

Range (R) =?

The range i.e how far the ball went can be obtained as follow:

R = u² Sine 2θ /g

R = 40² × Sine (2×55) / 9.8

R = 1600 × Sine 110 / 9.8

R = 1600 × 0.9397 /9.8

R = 153.42 m

2. Determination of the maximum height.

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

Acceleration due to gravity (g) = 9.8 ms¯²

Maximum height (H) =?

H = u² Sine² θ / 2g

H = 40² × (Sine 55)² / 2 × 9.8

H = 1600 × (0.8192) ² / 19.6

H = 54.78 m

3. Determination of the time of flight

Initial velocity (u) = 40 ms¯¹

Angle of projection (θ) = 55°

Acceleration due to gravity (g) = 9.8 ms¯²

Time of flight (T) =?

T = 2u Sine θ / g

T = 2 × 40 × Sine 55 / 9.8

T = 80 × 0.8192 / 9.8

T = 6.69 s

A horizontal force of 20 N is applied to the object. Will the force applied make the object move?

Answers

It depends on two factors: The direction of application of force and the coefficient of friction, [tex]\mu[/tex], between the object and the surface on which the object is placed.

If the direction of application of force is vertically downwards, then the object will not move for any value of [tex]\mu[/tex].

If the coefficient of friction is zero, [tex]\mu=0[/tex], then any value of force that is not in a vertically downward direction, the object will move.

If the direction of application of force is not vertically downwards, then it depends on the value of frictional force.

The most important characteristic in designing the soundproof room is to create walls that

Answers

Answer:

make sound bounce off walls

Answer:

Explanation:

Walls that absorb the sound and dont just bounce or reflect the sound straight back. Like how video makers have foam walls with ridges on their walls.

a toy car is wound up and released on the floor. it accelerates at a rate of 0.4 m/s/s . the mass of the care is 3kg. what is the force that the cars wheels exert on the floor.

Answers

Answer:

1.2N

Explanation:

f=m×a

m=3kg

a=.4m/s/s

3×.4=1.2

kg×m/s/s = N

Which of the following is NOT part of genetic materials passed from parent to offspring.

DNA
Chromosomes
Tendons
Genes

Answers

Answer:

tendons

Explanation:

The answer to this question is Tendons

True or False? There is more downward force on a faster car than on a slower car when both
are traveling at the same time and on the same
highway.

Answers

Answer:

false

Explanation:

bc the faster car has more inertia (i dont think im correct)

not sure but feels like it

What is the average speed of a toy car that travels 240cm in 1 minute?

Answers

4 cm/s is correct amañan and

How can you double the acceleration of an object if you cannot alter the object’s mass?
plz helpppp

Answers

Answer:

If you double the force, you double the acceleration, but if you double the mass, you cut the acceleration in half.

Explanation:

you can double the net force

What happens to the boat when its weight is greater than the buoyant force?

What happens to the boat when its weight is less than the buoyant force?

What happens to the boat when its weight is equal to the buoyant force?

Answers

Answer:

1. and 2. If the buoyant force is greater than the object's weight, the object rises to the surface and floats. If the buoyant force is less than the object's weight, the object sinks. If the buoyant force equals the object's weight, the object can remain suspended at its present depth.

3. When the buoyant force equals one ton, it will sink no further. When any boat displaces a weight of water equal to its own weight, it floats. This is often called the “principle of flotation” where a floating object displaces a weight of fluid equal to its own weight.

Explanation:

Can anyone help me with my history question.

A sled is moving down a steep hill. The mass of the sled is 50 kg and the net force acting on it is 20 N. What must be done to find the acceleration of the sled?

Answers

You need to first measure the angle of descent, i.e. the angle the hill makes with the ground. Then identify the forces acting on the sled, split them up into horizontal and vertical components, or into components that are parallel and perpendicular to the hill, and use Newton's second law to determine the components of the sled's acceleration vector.

There are at least 2 forces acting on the sled:

• its weight, pointing downward with magnitude W = m g

• the normal force, pointing perpendicular to the hill and away from the ground with mag. N

The question doesn't specify, but there might also be friction to consider, indicated in the attachment by the vector F pointing parallel to the slope of the hill and opposing the direction of the sled's motion with mag. F.

Splitting up the forces into parallel/perpendicular components is less work. By Newton's second law, the net force (denoted with ∑ or "sigma" here) in a particular direction is equal to the mass of the sled times its acceleration in that direction:

∑ (//) = W (//) = m a (//)

∑ (⟂) = W (⟂) + N = m a (⟂)

where, for instance, W (//) denotes the component of the sled's weight in the direction parallel to the hill, while a (⟂) denotes the component of the sled's acceleration perpendicular to the hill. If there is friction, you need to add -F to the first equation.

If the hill makes an angle of θ with flat ground, then W makes the same angle with the hill so that

W (//) = -m g sin(θ)

W (⟂) = -m g cos(θ)

So we have

-m g sin(θ) = m a (//)   →   a (//) = -g sin(θ)

-m g cos(θ) + N = m a (⟂)   →   a (⟂) = 0

where the last equality follows from the fact that the normal force exactly opposes the perpendicular component of the weight. This is because the sled is moving along the slope of the hill, and not into the air or into the ground.

Then the acceleration vector is

a = a (//)

with magnitude

||a|| = a = g sin(θ).

Answer:

To find the acceleration, you do 20N/50kg = 0.4 m/s^2

Explanation:

example: a = F/m = 10/2 = 5 m/s2

explain the relationship between mass and acceleration

Answers

Answer:

Explanation: Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.

Answer:

[tex]\huge\boxed{\sf Inverse \ Relation}[/tex]

Explanation:

According to Newton's Second Law Of Motion:

"The acceleration produced by the body is directly proportional to the force acting on the body and inversely proportional to mass."

So, The Mathematical Form will be:

Acceleration ∝ [tex]\sf \frac{1}{mass}[/tex]

So, Acceleration and mass are inversely proportional. This means that Greater the mass, Smaller will be the acceleration produced and vice versa.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

HELP!!!!!
Lesson 5: Lab: Acids and Bases Portfolio
Does anyone have the completed pdf link to this portfolio I can have?
Thanks!

Answers

I agree with the first person

A football player runs due South for 80 yards then cuts up the field due East for a distance of 45 yards before running into the end zone. What is the total displacement of the player?

Answers

Answer:

91.79 yards

Explanation:

Let the direction of the south be -y

Let the direction of the east be +x

The displacement is gotten by using the pythagoras theorem as shown;

Let d be the displacement;

d² = x² + y²

Given

x = 45 yards

y = -80 yards

Substitute the given values into the expression;

d² = x² + y²

d² = 45² + (-80)²

d² = 2025 + 6400

d² = 8425

d = √8425

d = 91.79 yards

Hence the total displacement of the player is 91.79 yards

1. George Eliot pulls on a curtain string. If the curtain has a mass of 1.2 kg and she can pull
it so that it accelerates at a rate of 4 m/s2, what is the force she exerts on the curtain
string?

Answers

Answer:

F = 4.8 N

Explanation:

Given that,

Mass of the curtain, m = 1.2 kg

Acceleration of the pull, a = 4 m/s²

We need to find the force she exerts on the curtain.

We know that,

F = ma

Put al the values,

F = 1.2 kg × 4 m/s²

= 4.8 N

So, the force is 4.8 N.

A graph is provided below. The graph shows the speed of a car traveling
east over a 12 second period. Based on the information in the graph, it
can be concluded that in the first 6 seconds, the car is -

Answers

Answer:

Accelerating

Explanation:

What does the half life for a radioactive material mean?

Answers

Half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay (change spontaneously into other nuclear species by emitting particles and energy), or, equivalently, the time interval required for the number of disintegrations per second of a radioactive

A pitcher throws a ball toward a player holding a softball bat. The bat applies a 10-Newton force to the ball. Which statement correctly describes the reaction force between the bat and the ball?

Answers

Answer:

The reaction force is the force that causes the ball to move toward the bat.

Explanation:

Answer:

D; the reaction force is the force of the ball on the bat.

Explanation:

When you push a box with 20 N of force, what force does the box apply back on you?

Answers

Remember Newton’s third law: for every force, there is an equal and opposite reaction.

The force being applied back is also 20N

Plant and Snail Gizmo

Answers

What? Cool okay lol haha
Chose the plant to be the best answe chosen more than a plant

HELP ASAP Which statement is true about magnetic field lines?
A. There is no consistent pattern in the lines, B. The lines form a loop from the north pole back to the north pole and from the south pole to the south pole. C. The lines point away from the south pole of a magnet and toward the north pole. D. The lines point away from the north pole of a magnet and toward the south pole.​

Answers

Answer:

i think it's c

Explanation:

but I'm not sure

Answer:

The answer is D

Explanation:

Ill give u 50 points and Brainiest if u answer this right

A pinball bangs against a bumper of a pinball machine with a speed of 0.44 m/s. If the ball has a mass of 0.022 kg, what is the ball's kinetic energy?

Answers

Answer:

0.0021 J

Explanation:

[tex]KE=\frac{1}{2} mv^{2}\\KE=\frac{1}{2}*0.022*0.44^{2} \\KE=0.0021\ J[/tex]

Answer: KE= 0.0021296 ( Hopefully this will help you, sorry if I'm wrong)

Explanation:

A car traveling at 50 m/s comes to a stop in 5 seconds. What is the
acceleration of this?

Answers

Answer:

10

Explanation:

10 is the answer because you divide 50  and 5 and your answer is 10.

Hope this helps:)

Pls mark brainlist

Answer:

a = -10m/s²

Explanation:

Givens:

Vf = 0m/s

Vi = 50m/s

t = 5s

Use the following kinematic equation:

Vf = Vi+at

Rearrange

a = (Vf-Vi)/t

a = -10m/s²

why does a thrown football have both potential and kinetic energy?what is the combined energy called?
i will give brainliest to who ever answers this question in a paraghraph

Answers

Answer:

The thrown football has Potential or stored Energy, PE, by virtue of its position in the air and the ability for it to fall by itself. The thrown football also has Kinetic Energy, KE, given that the ball is in motion and requires an equal and opposite amount of energy to stop it. Both the PE and the KE  are forms of Mechanical Energy, ME and the Mechanical Energy of the football is equal to the sum of its Potential and Kinetic Energy. That is ME = PE + KE

Explanation:

Potential energy, PE, is the energy that is the held or stored energy of a body such that the body is able to do work without the addition of energy from an external source

A thrown football that has an elevation or height above the floor level has the capacity to come back down and bounce on the floor without the presence of assistance at the topmost height of the football. Therefore, the thrown football has potential energy, given to it by the thrower

Kinetic Energy, KE, is the energy possessed by a moving that comes from the motion of the object

Given that the thrown football is in motion, it posses kinetic energy

Therefore, the thrown football possesses both potential energy and kinetic energy which are forms of mechanical energy ME

The combined energy of the football is therefore called the Mechanical Energy ME of the ball which is the sum of the potential and kinetic energies of the football, given as follows;

The Mechanical Energy of the football = The Potential Energy of the football + The Kinetic Energy of the football

∴ ME = PE + KE

Which statement about natural resources is true?
A. All societies have the same natural resources available to them.
B. Societies have found alternatives for them, so natural resources
have lost all their importance.
C. While all societies use natural resources, they do not use them in
the same way
D. Some societies find natural resources important, while others find no need for them.

Answers

Answer:

C. While all societies use natural resources, they do not use them in

the same way

Explanation:

Natural resources are endowments by nature in a particular place. Different regions of the world have either similar or varied types of resources.

Therefore, with cultural influences and climate, these resources are put into different forms of usage.

All societies does not use natural resources the same way. There are certain influences most especially based on needs that determines what a particular resource can be used for or not. Although synthetic materials serves as alternatives to natural resources, the cost and energy required to produce them is most times discouraging.

what is the SI unit of acceleration and force?​

Answers

Explanation:

the SI unit of force is newton(N)

but i am not really sure of acceleration

1. What is power, and what is its relationship to voltage and amperage? (4 points)

Answers

power is reffering to force

what is si unit?mention any give phisical quantities with their si unit.​

Answers

The SI base units are the standard units of measurement defined by the International System held in France is called Si unit.

How many kilometers are in 52,000 meters? If there are 1,000 meters in one kilometer

Answers

Answer:

52 kilometers

Explanation:

Since we know that there are 1,000 meter in 1 kilometer, we can divide 52,000 by 1,000 (because we want know that every 1,000 meter is 1 kilometer).

52,000/1,000= 52 kilometers

That's your answer.

Hope this helped! :)

Answer:

52 Kilo

Explanation:

52,000/1,000= 52 kilometers

Is this right? Please help

Answers

Answer:

C’est exact!! Excellent travail!

Explanation:

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