Explain why Young’s modulus does not depend on the length or diameter of a wire., A wire is stretched beyond its elastic limit. Explain how the force–extension graph changes., Why does a rubber band not obey Hooke’s law over most of its extension?, Compare the energy changes in elastic and plastic deformation., Does escape velocity depend on the mass of the object leaving the planet?, Explain why momentum is conserved in collisions but kinetic energy may not be., Explain why gravitational potential is a scalar quantity., Describe how experimental errors affect Young’s modulus calculations., A steel wire obeys Hooke’s law up to a stress of 3.0 × 10⁸ Pa., If its cross-sectional area is 1.5 × 10⁻⁶ m², calculate the maximum force that can be applied without permanent deformation., A mass of 2.0 kg is lifted vertically by 5.0 m near the Earth’s surface. Calculate the change in gravitational potential energy, A planet has the same mass as Earth but half its radius. Calculate the escape velocity from the planet, Use energy conservation to derive the formula for escape velocity, A 1500 kg car moving at 25 m s⁻¹ collides with a stationary 1000 kg car. The cars stick together. Calculate their common velocity after the collision..

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