A net force of 5.34 N acting for 4.23 s on a mass initial at rest, causes it to travel 4.75 m in a straight line. What is the mass?

Well, well, well, we have ourselves a good old physics problem! To find the mass, we need to use good old Newton's second law, which states that force equals mass times acceleration.

In this case, the net force acting is 5.34 N, and the time is 4.23 seconds. Since the object starts from rest, we know that the initial velocity is also zilch.

Now, we need to find the acceleration. Using the equation v = u + at, where v is final velocity, u is initial velocity, a is acceleration, and t is time, we can solve for 'a'. As u is zero, we have v = at. Since the object travels 4.75 m in a straight line, and we know the time is 4.23 seconds, we can plug the values in and find the acceleration.

Once we have the acceleration, we can use Newton's second law, F = ma, and rearrange it to solve for mass. Plugging in the force and the acceleration, we can finally find the mass.

But hey, I won't keep you waiting. Let me crunch the numbers for you. Drumroll, please...

After some quick calculations, the mass turns out to be (insert creative drumroll sound here) approximately 1.27 kilograms! Ta-da!

To find the mass of the object, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

The formula for Newton's second law is:

Fnet = m * a

Where:
Fnet is the net force acting on the object
m is the mass of the object
a is the acceleration of the object

Given:
Fnet = 5.34 N
t = 4.23 s
d = 4.75 m

First, let's calculate the acceleration:

We know that acceleration can be calculated using the equation:

a = (vf - vi) / t

Where:
vf is the final velocity of the object (which will be the same as the initial velocity since the object starts from rest)
vi is the initial velocity of the object (which is 0 m/s since the object is initially at rest)
t is the time taken for the object to travel a certain distance (given as 4.23 s)

Substituting the values into the equation:

a = (0 - 0) / 4.23
a = 0 / 4.23
a = 0 m/s^2

Since the acceleration is 0 m/s^2, we can conclude that there is no acceleration.

Therefore, the net force is equal to 0, as there is no acceleration according to Newton's second law.

Now, using the formula for work:

Work (W) = F * d * cosθ

Where:
W is the work done on the object
F is the force applied to the object
d is the distance traveled by the object
θ is the angle between the force vector and the displacement vector

In this case, the force and displacement are in the same direction, so cosθ is equal to 1.

Given:
F = 5.34 N
d = 4.75 m

Substituting the values into the equation:

W = 5.34 * 4.75 * 1
W = 25.365 Joules

The work done on the object is 25.365 Joules.

Now, using the formula for work:

Work (W) = m * g * d

Where:
W is the work done on the object
m is the mass of the object
g is the acceleration due to gravity (9.8 m/s^2)
d is the distance traveled by the object

Given:
W = 25.365 Joules
g = 9.8 m/s^2
d = 4.75 m

Substituting the values into the equation:

25.365 = m * 9.8 * 4.75

Simplifying the equation:

25.365 = 46.55m

Dividing both sides by 46.55:

m = 25.365 / 46.55
m = 0.546 kg (rounded to three decimal places)

Therefore, the mass of the object is approximately 0.546 kg.

To find the mass, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

The given data includes:
- Net force: 5.34 N
- Time duration: 4.23 s
- Distance traveled: 4.75 m

First, we need to calculate the acceleration using the formula:
acceleration = distance/time^2

Plugging in the values, we get:
acceleration = 4.75 m / (4.23 s)^2

We can now calculate the acceleration.

acceleration = 4.75 / (4.23)^2

Next, we can use Newton's second law to find the mass. Rearranging the formula, we get:
mass = force / acceleration

Plugging in the values, we get:
mass = 5.34 N / acceleration

Now, calculate the mass:

mass = 5.34 N / (4.75 / (4.23)^2)

You need to use two equations:

F = ma (force = mass*acceleration)

and one of the equations of motion:

S = ut + (1/2)*a*t^2
Where S = distance, u = initial vel, a = acceleration and t = time

See if you can work it out now