Bola pejal dengan massa 2 kg dan jari-jari 20 cm menggelinding tanpa selip menaiki bidang miring dengan kemiringan 37° terhadap arah mendatar. Jarak yang ditemp

[tex]\displaystyle m=2\,\text{kg}\\r=0,2\,\text{m}\\g=10\,\text{m/s}^2\\\theta=37^\circ\\v_t=10\,\text{m/s}\\s=35\,\text{m}\\\\v_0=?\\\\E_m=E_m\\E_{k}+E_r=E_k+E_r+E_p\\\frac12mv_0^2+\frac12I\omega_0^2=\frac12mv_t^2+\frac12I\omega_t^2+mgh\\\frac12mv_0^2+\frac12\cdot\frac25mr^2\cdot\frac{v_0^2}{r^2}=\frac12mv_t^2+\frac12\cdot\frac25mr^2\cdot\frac{v_t^2}{r^2}+mgs\sin\theta\\\frac12\cdot2v_0^2+\frac15\cdot2v_0^2=\frac12\cdot2\cdot10^2+\frac15\cdot2\cdot10^2+2\cd\cdot10\cdot35\sin37^\circ[/tex]
[tex]\displaystyle \frac12v_0^2+\frac15v_0^2=\frac12\cdot10^2+\frac15\cdot10^2+10\cdot35\cdot\frac35\\\frac7{10}v_0^2=\frac{7}{10}\cdot10^2+10\cdot7\cdot3\\\frac1{10}v_0^2=\frac{1}{10}\cdot10^2+10\cdot4\\\frac1{10}v_0^2=10+30\\v_0^2=400\\\boxed{\boxed{v_0=20\,\text{m/s}}}[/tex]

Oleh karena itu, kedua pernyataan benar dan saling berhubungan.