Question

An object with a mass of 7kg gains the speed 26 meters per second after traveling the distance 2.8m. Calculate the resulting force that acts on it.

Answer 1

F = 845 [N]

Step-by-step explanation:

To solve this problem we must use the following equation of kinematics.

`v_(f) ^(2) =v_(o) ^(2) +2*a*x`

where:

Vf = final velocity = 26 [m/s]

Vo = initial velocity = 0

a = acceleration [m/s²]

x = distance = 2.8[m]

`26^(2) = 0 +(2*a*2.8) \\5.6*a = 676\\a = 120.71[m/s^(2)]`

Now we have to use Newton's second law which tells us that force is equal to the product of mass by acceleration.

ΣF = m*a

where:

F = force [N]

m = mass = 7 [kg]

a = acceleration = 120.71 [m/s²]

`F = 7*120.71\\F = 845 [N]`