jennymae13
Answered

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Neglecting Friction; determine the horizontal force needed to accelerate a 25 kg grocery cost from rest to a velocity of 0.45 s in 1.35 s.

Sagot :

glendzmorales

Answer:

The horizontal force is 8.33N

Explanation:

In our case, the problem is a combination of Newton's 2nd Law of motion and Motion in a Straight Line.

For the formula:

1. We will use the formula [tex]v=v_{0} +at[/tex] to solve for the acceleration

where

[tex]v[/tex]     is the final velocity, unit is in m/s

[tex]v_{0}[/tex]    is the initial velocity, unit is in m/s

[tex]a[/tex]     is the acceleration, unit is in m/[tex]s^2[/tex]

[tex]t[/tex]     is the time interval for the movement of the object, unit is in seconds

2. To solve for the force, we will use the formula, F = ma

where

F     is the force

m    is the mass

a     is the acceleration

For the given information

m = 25 kg

[tex]v_{0}[/tex] = 0          the grocery cart starts from rest

[tex]v[/tex] = 0.45 m/s

t = 1.35 seconds

Solving the problem

1. First, let us solve for the acceleration. Use the formula

[tex]v=v_{0} +at[/tex]

Then, substitute the given information, we have:

[tex]0.45m/s=0 +a(1.35s)[/tex]

Divide both sides of the equation [tex]1.35s[/tex], we have:

[tex]\frac{a(1.35s)}{1.35s} =\frac{0.45m/s}{1.35s}[/tex]

a = 0.33 m/[tex]s^2[/tex]

2. Now, we are ready to solve for the force. Use the formula

F = ma

Then substitute the given information

F = (25 kg)(0.33 m/[tex]s^2[/tex])

F = 8.33 N

Therefore, the horizontal force to accelerate the grocery cart is 8.33 N.

To learn more about this topic, just click on the following links:

  • What happens to the force when the acceleration increases

       https://brainly.ph/question/2220566

  • How does force affects the accleration

       https://brainly.ph/question/664199

  • Law of motion between force and acceleration relationship

       https://brainly.ph/question/2164506

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