Question #94582
2. A constant force changes the speed of a 100kg sprinter from 4.0m/s to 6.0 m/s in 1.0 s. Calculate
a) The acceleration of the sprinter during this time.
b) The magnitude of the force
1
Expert's answer
2019-09-16T10:02:52-0400

(a) The acceleration of the sprinter


a=ΔvΔt=6.0m/s4.0m/s1.0s=2.0m/s2a=\frac{\Delta v}{\Delta t}=\frac{6.0\:\rm m/s-4.0\: m/s}{1.0\:\rm s}=2.0\:\rm m/s^2

(b) The magnitude of the force


F=ma=100kg×2.0m/s2=200NF=ma=100\:\rm kg\times 2.0\: m/s^2=200\: N


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