If an object of mass 10 kg is moving with a uniform speed of 10 m/s, then the linear momentum and the kinetic energy of the object, respectively, are

To find the linear momentum and kinetic energy of an object with a mass (m) of 10 kg and a uniform speed (v) of 10 m/s, we apply standard physical formulas. Linear momentum (p) is defined as the product of mass and velocity (p = mv). Calculating this gives p = 10 kg × 10 m/s = 100 kg·m/s. The SI units for momentum are equivalent to Newton-seconds (N·s), thus p = 100 N·s. Kinetic energy (KE) is calculated using the formula KE = 1/2 mv². Substituting the given values, KE = 0.5 × 10 kg × (10 m/s)² = 0.5 × 10 × 100 = 500 Joules (J). Therefore, the linear momentum is 100 N·s and the kinetic energy is 500 J, which corresponds to the first option.