Answer :
To determine which vehicle can be safely repaired on the wooden platform, we need to compare the reaction force exerted by each vehicle against the maximum reaction force that the platform can handle (500 N).
The reaction force exerted by each vehicle is equal to its weight, which can be calculated using the formula:=
F=m⋅g
where:
F is the force (weight) in Newtons (N)
m is the mass in kilograms (kg)
g is the acceleration due to gravity (approximately
9.8
m/s
2
9.8m/s
2
)
Let's calculate the reaction forces for both the bicycle and the scooter.
Bicycle
bicycle
=
15
kg
m
bicycle
=15kg
=
9.8
m/s
2
g=9.8m/s
2
bicycle
=
15
kg
×
9.8
m/s
2
=
147
N
F
bicycle
=15kg×9.8m/s
2
=147N
Scooter
scooter
=
110
kg
m
scooter
=110kg
=
9.8
m/s
2
g=9.8m/s
2
scooter
=
110
kg
×
9.8
m/s
2
=
1078
N
F
scooter
=110kg×9.8m/s
2
=1078N
Now, compare these forces to the maximum reaction force the wooden platform can support (500 N):
Therefore, only the bicycle can be safely repaired by placing it on the wooden platform. The scooter exceeds the platform's maximum reaction force limit and cannot be safely placed on it for repairs.
