Question

A motorcycle of weight 2000N accelerates from 0 to 25m/s in 6 seconds. What are the magnitudes of a. acceleration? b. mass of motorcycle c. Net force causing the acceleration? (Hint: mass=weight/acceleration due to gravity(g)

Answer 1

A. `a=4.166666...m/s^2`
B. `m=204.0816...kg`
C. `f=850.34N`

Explanation:

Knowns:
`w=2000N`
`Deltav=(25m)/s`
`Deltat=6s`
`g=9.8m/s^2`
Unknowns:
A. `a=?m/s^2`
B. `m=?kg`
C. `F_(Net)=?N`
Equations:
A. `a=(Deltav)/(Deltat)` Input knowns:
`a=((25m)/s)/(6s)` Solve:
`a=4.166666...m/s^2`

B. `m=w/g` Input knowns:
`m=(2000N)/(9.8m/s^2)` Solve:
`m=204.0816...kg`
Now go back to A:

C. `f=m*a` Input derived values (no knowns available):
`f=(204.0816kg)*((4.1666m/s^2)` Solve:
`f=850.34N`