Question

if a 3 kg sled is being pulled by a tension force of +40 n and the net force is +25 n to the right, what are the values of the following:
force of friction
, the mass of the sled is
, the acceleration of the sled
, and the weight
of the sled?

Explanation:

Step1: Calculate the weight

Weight formula: \(W = mg\), where \(m = 3\space kg\) and \(g= 9.8\space m/s^{2}\)
\(W=3\times9.8 = 29.4\space N\)

Step2: Calculate the acceleration

Newton's second law: \(F_{net}=ma\), where \(F_{net} = 25\space N\) and \(m = 3\space kg\)
\(a=\frac{F_{net}}{m}=\frac{25}{3}\approx8.33\space m/s^{2}\)

Step3: Calculate the force of friction

\(F_{net}=F_{T}-F_{f}\), so \(F_{f}=F_{T}-F_{net}\)
\(F_{f}=40 - 25=15\space N\)

Answer:

Force of Friction: \(15\space N\)
Mass of the sled: \(3\space kg\)
Acceleration of the sled: \(\approx8.33\space m/s^{2}\)
Weight of the sled: \(29.4\space N\)