Question #23caa

1 Answer
Sep 21, 2015

Answer:

  1. 0.015 km/s
  2. 0.0008 J/kg^-1
  3. 5 m/s
  4. -
  5. 8 g/cm^3
  6. 50 m/s^-2
  7. 4200 J/kg

Explanation:

15 m/s to km/s
Note: 1 m = 0.001 km
#15 m/s#
#= 15(0.001 km)/s#
#= (0.015km)/s#
Answer: 0.015 km/s

0.8 J/g^-1 to J/kg^-1
Note: 1 g = 0.001 kg
#0.8 J/g^-1#
#=0.8*J*g#
#=0.8*J*(0.001kg)#
#=0.0008*J*kg#
#=0.0008 J/(kg^-1)#
Answer: 0.0008 J/kg^-1

18 km/h to m/s
Note: 1 km = 1000 m; 1 h = 3600 s
#18(km)/h#
#=18(1000m)/(3600s)#
#=5m/s#
Answer: 5 m/s

2.5cm^3 to kg/m
Can I get some clarification on the units of this one? I don't think it's convertible.

8000 kg/m^3 to g/cm^3
Note: 1 kg = 1000 g; 1 m = 100 cm
#8000 (kg)/m^3#
#=8000(1000g)/(100cm)^3#
#=8000(1000g)/((100)^3cm^3#
#=8g/(cm^3)#
Answer: 8 g/cm^3

5000 cm/s^-2 to m/s^-2
Note: 1 cm = 0.01 m
#5000 (cm)/s^-2#
#=5000(0.01m)/s^-2#
#=50m/s^-2#
Answer: 50 m/s^-2

4.2 J/g to J/kg
Note: 1 g = 0.001 kg
#4.2 J/g#
#=4.2J/(0.001kg)#
#=4200J/(kg)#
Answer: 4200 J/kg