Question

Question #23caa

Answer 1

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