Question

if 100 kg person weighed 400 n on the planet zorg, what is the acceleration due to gravity on zorg?
a sled is pushed with 30 n and sliding friction is 10 n. find the net force on the sled.

Explanation:

Step1: Use the formula for weight

Weight \(W = mg\), where \(W\) is weight, \(m\) is mass, and \(g\) is acceleration due to gravity. We need to find \(g\). Rearranging the formula gives \(g=\frac{W}{m}\). Given \(W = 400\space N\) and \(m = 100\space kg\).

Step2: Calculate \(g\)

Substitute the values into the formula: \(g=\frac{400\space N}{100\space kg}=4\space m/s^{2}\)

Step3: Calculate net force for the sled

Net force \(F_{net}=F_{applied}-F_{friction}\). Given \(F_{applied} = 30\space N\) and \(F_{friction}=10\space N\)

Step4: Find the value of net force

\(F_{net}=30\space N - 10\space N=20\space N\)

Answer:

The acceleration due to gravity on Zorg is \(4\space m/s^{2}\). The net force on the sled is \(20\space N\)