Question

tarzan (75 kg) is standing on top of a branch 3 m high. he jumps upward with a velocity of 4 m/s and then freefalls to the ground. calculate how much total energy was transferred in this scenario. (1 point) 2,205 j 2,805 j 337.5 j 900 j

Explanation:

Step1: Calculate initial kinetic energy

The formula for kinetic energy is \(K = \frac{1}{2}mv^{2}\). Given \(m = 75\space kg\) and \(v=4\space m/s\), we have \(K=\frac{1}{2}\times75\times4^{2}=600\space J\)

Step2: Calculate initial potential energy

The formula for gravitational potential energy is \(U = mgh\). Given \(m = 75\space kg\), \(g = 9.8\space m/s^{2}\), and \(h = 3\space m\), we have \(U=75\times9.8\times3 = 2205\space J\)

Step3: Calculate total initial energy

By the conservation of mechanical energy (assuming no air - resistance), the total energy \(E=K + U\). Substituting the values from step 1 and step 2: \(E=600+2205=2805\space J\)

Answer:

2,805 J