Solve (kg/m^3)(m/s^2)(m)

$$( \frac { k g } { m ^ { 3 } } ) ( \frac { m } { s ^ { 2 } } ) ( m )$$

Evaluate

$$\frac{gk}{ms^{2}}$$

Solution Steps

Multiply \frac{kg}{m^{3}} times \frac{m}{s^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{kgm}{m^{3}s^{2}}m$$

Cancel out m in both numerator and denominator.

$$\frac{gk}{m^{2}s^{2}}m$$

Express \frac{gk}{m^{2}s^{2}}m as a single fraction.

$$\frac{gkm}{m^{2}s^{2}}$$

Cancel out m in both numerator and denominator.

$$\frac{gk}{ms^{2}}$$

Differentiate w.r.t. k

$$\frac{g}{ms^{2}}$$