A cart is pushed up a rough ramp

PHYSICS · Single correct · CBSE · Physics · Work and Energy · Work and Energy

Problem

A 0.50 kg0.50\,\text{kg} cart is pushed up a rough ramp. At the bottom (point P) its speed is 3 m s−13\,\text{m\,s}^{-1}. It comes momentarily to rest at the highest point (point Q) and then rolls back down, reaching 2 m s−12\,\text{m\,s}^{-1} at point R near the bottom. A student draws separate energy-bar charts for points P, Q, and R, using the cart–Earth–ramp surface as the system. The only permitted bars are kinetic energy (KE), gravitational potential energy (PEgPE_g), and thermal energy (EthE_{th}). Which statement about the relative heights of the thermal-energy bars is most consistent with energy conservation? (a) The thermal-energy bars are equal in height at Q and R, and zero at P. (b) The thermal-energy bar is tallest at Q, shorter (but non-zero) at R, and zero at P. (c) The thermal-energy bar is tallest at R, shorter (but non-zero) at Q, and zero at P. (d) Thermal-energy bars are zero at all three points.

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