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
MAXIMILIAN C.
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#

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