A 800-kg car moving initially at 15 mi/h accelerates at 1.2 m/s2 for 10 s. What is the total work done on the car during this time ?
work = force * distance
force = mass * acceleration
to find work, we need force and distance. first, we find force.
all calculations must be done in meters per second, not miles per hour
15 mi/h = 6.71 m/s
force = mass*acceleration
force = 800kg*1.2m/s^2
force = 960N
next, we find the distance.
distance = starting velocity + acceleration*(time)^2
distance = 6.71 + (1.2)(10)^2
distance = 126.71m
work = 960N * 126.71m
work = 121641.9 Joules
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Verified answer
work = force * distance
force = mass * acceleration
to find work, we need force and distance. first, we find force.
all calculations must be done in meters per second, not miles per hour
15 mi/h = 6.71 m/s
force = mass*acceleration
force = 800kg*1.2m/s^2
force = 960N
next, we find the distance.
distance = starting velocity + acceleration*(time)^2
distance = 6.71 + (1.2)(10)^2
distance = 126.71m
work = force * distance
work = 960N * 126.71m
work = 121641.9 Joules