Activity 3. Let's Do The Mathi
Direction: Use Newton's second law equation to solve for force, mass, and acceleration
Problem 1- A ball with a mass of 0.5 kg is hit with a force of 2.5N. What is its acceleration?
Problem 2- What is the acceleration of a 15kg box that is pushed across a horizontal surface
with a force of 50N?
Problem 3- An object with a mass of 2.0 kg has a force of 5.0 N applied to it. What is the
resulting acceleration of the object?
Problem 4- An object with a mass of 3.0 kg accelerates 2.5 m/s2 when an unknown force is
applied to it. What is the amount of the force?
Problem 5- An object accelerates 12.0 m/s2 when a force of 6.0 N is applied to it. What is the
mass of the object?

Answers

Answer 1

Answer:

Problem 1-

The acceleration = 5 m/s²

Problem 2 -

The acceleration = 3.[tex]\overline 3[/tex] m/s²

Problem 3 -

The acceleration = 2.5 m/s²

Problem 4-

The force applied = 7.5 N

Problem 5-

The mass of the object,  = 0.5 kg.

Explanation:

Problem 1-

The mass of the ball, m = 0.5 kg

The force (applied) with which it was hit, F = 2.5 N

The acceleration, a = Force/Mass = 2.5 N/(0.5 kg) = 5 m/s²

The acceleration = 5 m/s²

Problem 2 -

The mass of the box, m = 15 kg

The force (applied) with which it was hit, F = 50 N

The acceleration, a = Force/Mass = 50 N/(15 kg) = 10/3 = 3.[tex]\overline 3[/tex] m/s²

The acceleration = 3.[tex]\overline 3[/tex] m/s²

Problem 3 -

The mass of the object, m = 2.0 kg

The force (applied) with which it was hit, F = 5.0 N

The acceleration, a = Force/Mass = 5.0 N/(2.0 kg) = 2.5 m/s²

The acceleration = 2.5 m/s²

Problem 4-

The mass of the object, m = 3.0 kg

The acceleration, a, of the object = 2.5 m/s²

The force applied to it, F = Mass × Acceleration = 3.0 kg × 2.5 m/s² = 7.5 N

The force applied = 7.5 N

Problem 5-

The acceleration, a, of the object = 12 m/s²

The force applied, F = 6.0 N

The mass of the object, m = Force/Acceleration = 6.0 N/(12 m/s²) = 0.5 kg

The mass of the object,  = 0.5 kg.


Related Questions

If the x-component of velocity is 27m/s and the y-component of velocity is -23 m/s, what is the resultant vector?

Answers

Answer:

35.47 m/s

Explanation:

[tex]r = \sqrt{( - 23)^{2} + (27) ^{2} }[/tex]

=35.57

A. 2kg

B. 6kg

C. 8kg

D. 14kg

Answers

Answer:

A

Explanation:

We know the force is (16N-12), which is 4N, and we know the acceleration is 2 m/s^2. Meaning, we can solve the formula m = F / a (mass equals force divided by acceleration), and we get 2kg.

I need a correct answer plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

option 1

Explanation:

i just used the SOH CAH TOA, and since the given is tan=opposite/adjacent, that should be the answer

..................ok okokok

Answers

Are you good is every thing alr

Answer:

ok

Explanation:

If you added 5 x more mass into a wheelbarrow, how much greater would
your net force need to be to keep the acceleration the same? *

Answers

Answer:

5 x biger

Explanation:

becuze if it ia 5× more it nids 5×more force to be =

please can i have help with this question ​

Answers

Opposites attract so north goes to south and Vice versa. When the same poles are facing each other they push away when they are opposites they attract.

You throw a ball straight up into the air at a velocity of 15 m/s. You want to know how high above your hand the ball will be at exactly 2.5 sec after you released it. You must SHOW ALL WORK to receive credit!!! Of the 5 motion variables - Vi, Vf, a, ΔX, and T, identify which one you are solving for and the magnitudes and directions of all of the others that are known: Which of the motion equations is best to use to determine the height of the ball? How high is the ball above your hand at 2.5 sec after you throw it?

Answers

Answer:

6.875m

Explanation:

Given

Velocity = 15m/s

Time = 2.5secs

Required

Distance above your hand the ball will be at exactly 2.5secs

using the equation of motion:

ΔX = ViT + 1/2aT²

ΔX is the distance

Vi is the velocity of the ball in air

a is the acceleration due to gravity

T is the time taken

Since the ball is thrown straight up, a = -g

ΔX = ViT - 1/2gT²

Substitute

ΔX = 15(2.5) - 1/2(9.8)(2.5)²

ΔX = 37.5-30.625

ΔX = 6.875m

Hence the ball will be 6.875m above your hand at 2.5secs after you throw it.

Bob rides his bicycle on a bike path that is 1000 meters long to get his house that is due east of the bike path. If Bob take 150 seconds then...
What is his speed?

What is his velocity?​

Answers

Answer:

6.6 mph is the answer because u had to divide it

A spray gun, used to apply paint, uses Bernoulli's principle to function. It contains two tubes inside of it: one tube comes up from the supply of paint and one supplies a flow of compressed air that blows across the top of the paint tube. This rush of air creates ____, which sucks the paint up the tube and into the stream of air.

Answers

Answer:

Low pressure

Explanation:

Take two nearby points at the junction of both the tube, let point 1 be in the air tube while point 2 be in the paint tube.

According to Bernoulli's principle, the air at point 1 is moving with some speed which causes the pressure drop inside tube 1, while at point 2 there is no velocity, so there is no pressure drop at that point. In fact, the pressure at point 2 approximately equals the atmospheric pressure.

As both the points are taken is nearby at the junction, to the pressure drop in the flow air pipe causes the suction of fluid from the relatively high-pressure tube (paint tube).

Hence, this rush of air creates low pressure, which sucks the paint up the tube and into the stream of air.

When you push a 1.85-kg book resting on a
tabletop, you have to exert a force of 2.10 N to
start the book sliding. Once it is sliding, however,
you can use a force of only 1.01 N to keep the
book moving with constant speed.
What is the coefficient of static friction between the book and the laptop?
What is the coefficient of kinetic friction between the book and the tabletop?

Answers

Answer:

Given:

mb=2.05 kgmb=2.05 kg Mass of the book

fs=2.45 Nfs=2.45 N Static friction

fk=1.50 Nfk=1.50 N Kinetic friction

In the 19th century scientists Knew that light was some kind of wave. and every waye science had yet decided needed

Answers

Answer:

The light was the wave

Explanation:

When a television is turned on, it converts electrical energy into many other forms of energy. Choose all that correctly lists most of these forms.
Sound
Light
Heat
Electricity

Answers

Answer:

sound energy and electricity energy

what is a force that always resists the relative motion of objects or surfaces?

Answers

Friction is the resistance to motion of one object moving relative to another. It is not a fundamental force, like gravity or electromagnetism. Instead, scientists believe it is the result of the electromagnetic attraction between charged particles in two touching surfaces.

Help please and thank you =D

Answers

Answer:

Explanation:

Biomass is the total quantity or weight of organisms  in a given area or volume.

Match these items.

1. alpha rays
2. plasma
3. fission
4. beta rays
5. gamma rays
6. radioactive
7. fusion


a. splitting/dividing
b. joining together
c. release of atomic particles
d. high-energy light
e. helium nuclei
f. electrons
g. ions and free electrons

Answers

Answer:

Alpha Rays - Helium Nuclei

Gamma Rays - High-Energy Light

Fusion - Joining Together

Radioactive - Release of Atomic Particles

Beta Rays - Electrons

Fission - Splitting/Dividing

Plasma - Ions and Free Electrons

Explanation:

The correct match for the given terms:

1. alpha rays -Helium nuclei

2. plasma - ions and free electrons

3. fission - splitting/dividing

4. beta rays - electrons

5. gamma rays - high-energy light

6. radioactive - release of atomic particles

7. fusion -  joining together

What is radioactivity?

The nucleus of an atom exhibits the phenomenon of Radioactivity due to its instability. Energy will be lost due to the emission of radiation from the unstable nucleus of an atom.

The electrostatic force of repulsion and the powerful forces of attraction keep the nucleus together. The instability increases as the size of the nucleus increases because the mass of the nucleus increases when concentrated. Therefore, Plutonium, Uranium is extremely unstable and undergoes radioactivity.

The emitted radiation from radioactivity always consists of alpha, beta, and gamma particles. Gamma Decay is photons having high energy, Beta Decay consists of Electrons while Alpha Decay consists of a Helium nucleus.

Learn more about radioactive decay, here:

https://brainly.com/question/1770619

#SPJ2

1. Which of the following provides a correct answer for a problem that can be solved using the kinematic equations?
A A body starts from rest and accelerates at 8 m/s/s for 3 s. The body's final
position is 32 m.
B A body starts from rest and accelerates at 8 m/s/s for 3 s. The body's final
velocity is 16 m/s
C A body starts from rest and accelerates at 8 m/s/s for 3 s. The body's travels a
distance of 16 m
A body starts from rest and accelerates at 8 m/s/s for 3 s. The body's final
velocity is 24 m/s
E A body starts from rest and accelerates at 8 m/s/s for 3 s. The body's final
position is 30 m.
1 of 14
2
3
5 6 7 8
9

Answers

Answer:

12

Explanation:

12

Which of the statements below is true?

An object’s weight and mass are equal.
An object’s weight is proportional to its mass.
An object’s weight is inversely proportional to its mass.
An object’s weight is always twice its mass.

Answers

Answer:

An object’s weight is proportional to its mass.

A baseball player practicing popups tosses a ball straight up into the air. If the ball is tossed with an initial velocity of 15.78
m/s, how long does it take
to go up and back down?
(I would appreciate it and if possible put the process of solving it )

Answers

you should get atheist 10 to 15 seconds

10 N force is acting on the body of mass 5kg which is at rest. The velocity
gained by the body in 5 seconds is

Answers

Answer:

= 4m/s^2

Explanation:

Change in velocity is

20-0/5 = 4

Which statement correctly compares meteoroids, meteors, and meteorites? * Meteors float in space, meteoroids move through the atmosphere, and meteorites have landed on the surface. Meteorites float in space, meteors move through the atmosphere, and meteoroids have landed on the surface. Meteors float in space, meteorites move through the atmosphere, and meteoroids have landed on the surface. Meteoroids float in space, meteors move through the atmosphere, and meteorites have landed on the surface.

Answers

Answer:

D.

Explanation:

A meteoroid is a piece of stony debris that float in space and move around the sun in different orbits and speeds.

Meteoroids enter into Earth's surface with a high speed as shooting stars and called meteors. Meteors move through the atmosphere and landed on the surface and it is called a meteorite.

Hence, the correct answer is "D."

In photosynthesis, solar energy undergoes a _______________ when it changes from light energy to chemical energy.

Answers

Answer:

chemical change

Explanation:

calculate the pressure on the ground by a box of mass lokg when
corresponding area of contact w 2 m? (g = 10 ms?)​

Answers

Pressure = Force / area = 100 / 2 = 50 N/m^2

If the area is a 2x2 = 4m^2 then pressure = 100/4 = 25 N/m^2

(Not Clear what the area is from your question)

difference between simple machine and complex machine?​

Answers

Answer:

a simple machine has way less parts than a complex machine like just one pulley or lever. A complex machine has multiple different parts that lead up to one thing being done in the long run.

Explanation:

Which question could be answered using the scientific method
A.do red or orange flowers attract more butterflies?B.are alien spacecrafts powered by gasoline?C.is the color red better then the cooler green?

Answers

Answer:

A is the answer

Explanation:

out of all three answers, this one makes more sense.

The correct awnser is A

A force of 49N causes a box to move with an acceleration of 7m/s2. Find the mass of the object

Answers

Answer:

The answer is 7 kg

Explanation:

To find the mass of the object given the force and acceleration we use the formula

[tex]m = \frac{f}{a} \\ [/tex]

where

f is the force

a is the acceleration

m is the mass

From the question

f = 49 N

a = 7 m/s²

We have

[tex]m = \frac{49}{7} \\ [/tex]

We have the final answer as

7 kg

Hope this helps you

How does a simple machine facilitate our work​

Answers

Answer:

Simple machines are useful because they reduce effort needed for people to perform tasks beyond their normal capabilities.

Explanation:

Answer:

Simple machines are useful because they reduce effort needed for people to perform tasks beyond their normal capabilities.

Explanation:

When a body like earth is moving in a circular path the work done in that case is zero because: (a) Centripetal force acts in the direction of motion of the body (b) Centripetal force acts along the radius of circular path (c) Gravitational force acts along the radius of circular path (d) Centrifugal force acts perpendicular to the radius of circular path

Answers

Answer:

(b) Centripetal force acts along the radius of circular path

Explanation:

Centripetal force is a force experienced by a body moving in a circular path. It is expressed mathematically ad F = mv²/r

m is the mass of the body

v is the velocity

r is the radius of the circular path

When a body moves in a circular path, work dome is zero because Centripetal force acts along the radius of circular path and the force is at right angle with the motion of body.

A 55 kg boy is throwing a 0.23 kg baseball up in the air. He decides to see how high he can throw it and uses a timer to see how long the ball stays in the air. He throws the ball as hard as he can straight up in the air and finds that it takes 5.5 seconds to come back to him. How long did it take for the ball to reach its highest point? (half the time it was in the air)

Answers

Answer:

2.75 s

Explanation:

From the question given above,

Total time (T) spent by the ball in air = 5.5 s

Time taken (t) to reach the greatest height =...?

Thus, we can obtain the time taken (t) for the ball to reach the greatest height as follow:

T = 2t

Where:

T is the total time spent by the ball in air.

t is the time taken to reach the greatest height

Total time (T) spent by the ball in air = 5.5 s

Time taken (t) to reach the greatest height =...?

T = 2t

5.5 = 2 × t

Divide both side by 2

t = 5.5/2

t = 2.75 s

Therefore, the time taken (t) to reach the greatest height is 2.75 s.

How can Newton's third law describe the forces affecting a rocket as it
descends to Earth's surface?
A. The rocket pushes through the air with a force equal to that of
Earth's gravity pulling on the rocket.
B. The maximum amount of force the rocket engines can provide
determines how much mass the rocket can lift.
C. The force the rocket exerts on the air is in the direction opposite to
the force that the air exerts on the rocket.
D. The rocket can move downward because the forces acting on it
are unbalanced.

Answers

Answer:

C

Explanation:

The force the rocket exerts on the air is in the direction opposite to

the force that the air exerts on the rocket.

Newton's third law describe the forces affecting a rocket as it descends to Earth's surface because: C. The force the rocket exerts on the air is in the direction opposite to  the force that the air exerts on the rocket.

Newton's Third Law of Motion states that for every action there exist an equal but opposite reaction.

This ultimately implies that, Newton's Third Law of Motion is a law that is generally based on action-reaction force pairs.

Generally, action-reaction force pairs make it possible for;

Birds to fly.Kicking a ball.Rowing a banca.Cars to move.Objects being in motion.Fishes to swim.Throwing a stone.Rockets descending to Earth's surface.

Based on Newton's Third Law of Motion, the force a rocket exerts on the air is in the direction opposite to the force that the air exerts on the rocket.

Read more: brainly.com/question/15170643

what is one second time ?​

Answers

Answer:

one second is defined au1/86400th the part of a solar day

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