Answer:
[tex]\boxed {\boxed {\sf 40 \ Newtons}}[/tex]
Explanation:
We are asked to find the force of a wheelbarrow. According to Newton's Second Law of Motion, force is the product of mass and acceleration.
[tex]F= \ m \times a[/tex]
1. Calculate Acceleration
The mass of the wheelbarrow is 20 kilograms. We are not given the acceleration, so we must calculate it using the following formula.
[tex]a= \frac{v_f-v_i}{t}[/tex]
The wheelbarrow starts at rest or 0 meters per second (initial velocity) and accelerates to reach 10 meters per second (final velocity) in 5 seconds (time).
- [tex]v_f=[/tex]10 m/s
- [tex]v_i=[/tex]0 m/s
- t= 5 s
Substitute these values into the formula.
[tex]a= \frac{ 10 \ m/s-0 \ m/s}{5 \ s}[/tex]
Solve the numerator.
[tex]a= \frac{10 \ m/s}{5 \ s}[/tex]
Divide.
[tex]a= 2 \ m/s/s[/tex]
[tex]a= 2 \ m/s^2[/tex]
2. Calculate Force
Now we know the mass and acceleration of the wheelbarrow
Substitute the values into the force formula.
[tex]F= 20 \ kg \times 2 \ m/s^2[/tex]
[tex]F= 40 \ kg*m/s^2[/tex]
Convert the units. 1 kilogram meter per square second is equal to 1 Newton, so our answer of 40 kilogram meters per square second is equal to 40 Newtons.
[tex]F= 40 \ N[/tex]
