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)

1 Answer
May 4, 2018

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