Nikole, with a mass of 80 kg , is jumping up to a 15 meter cliff. Mid jump she has a speed of \( 7 \mathrm{~m} / \mathrm{s} \).

A bullet is fired at an angle of \( 30^{\circ} \) to the horizontal at a velocity of \( 400 \mathrm{~m} / \mathrm{s} \) Calculate the following: 1.2 .1 The maximum height reached by the bullet 1.2 .2 The horizontal displacement when the bullet hits the ground

The brightness of a light bulb changes inversely with resistance and directly with voltage. What is the new resistance if a 60 -watt, 120 -volt bulb is used in place of a 100 -watt, 120 -volt bulb with 144 ohms?

A child pulls a wagon with a force of 16 pounds. The handle of the wagon makes an angle of \( 60^{\circ} \) with the ground. Express the force vector \( F \) in terms of \( i \) and \( j \). \( F=(\square) i+(\square j \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

52. A certain planet has a mass of \( 3.3 \times 10^{23} \mathrm{~kg} \) and a adjus of \( 2.6 \times 10^{6} \mathrm{~m} \). What is the acceleration due to gravity on the surface of this planet? a. \( 0.54 \mathrm{~m} / \mathrm{s}^{2} \) b. \( 3.3 \mathrm{~m} / \mathrm{s}^{2} \) c. \( 4.0 \mathrm{~m} / \mathrm{s}^{2} \) d. \( 9.8 \mathrm{~m} / \mathrm{s}^{2} \)

Quesito 2A In un test d'urto, un'auto di massa \( \mathrm{m}=1500 \mathrm{~kg} \) urta contro un muro. La velocitá iniziale è \( \mathrm{v}_{\mathrm{i}}=15,0 \mathrm{~m} / \mathrm{s} \) e quella finale è \( \mathrm{v}_{\mathrm{r}}=2.60 \mathrm{~m} / \mathrm{s} \) con verso opposto. Se la durata dell'urto è \( 0,150 \mathrm{~s} \), determinare l'impulso dovuto all'urto e la forza esercitata sull'auto supposta costante.