Answer:
v = 8.49 m/s
Explanation:
Given:
KE = 108 J
m = 3 kg
Required:
velocity
Solution:
Use the formula for KE which is:
KE = 1/2 mv^2
Substitute the known values of KE and m
108 J = 1/2 (3 kg)(v^2)
Simplify and change J into its base units which is
.
Solve for v
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Verified answer
Answer:
v = 8.49 m/s
Explanation:
Given:
KE = 108 J
m = 3 kg
Required:
velocity
Solution:
Use the formula for KE which is:
KE = 1/2 mv^2
Substitute the known values of KE and m
108 J = 1/2 (3 kg)(v^2)
Simplify and change J into its base units which is
.![\frac{108 \: kg. {m}^{2} }{ {s}^{2} } = \frac{3 \: kg}{2} {v}^{2} \frac{108 \: kg. {m}^{2} }{ {s}^{2} } = \frac{3 \: kg}{2} {v}^{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B108%20%5C%3A%20kg.%20%7Bm%7D%5E%7B2%7D%20%7D%7B%20%7Bs%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Cfrac%7B3%20%5C%3A%20kg%7D%7B2%7D%20%20%7Bv%7D%5E%7B2%7D%20)
Solve for v
v = 8.49 m/s