Автомобиль массой 2 т трогается с места и едет в гору, которая поднимается на 2 м на каждые 100 м пути. Прой- дя 100 м, он достигает скорости 32,4 км/ч. Коәффициент трения равен 0,05 . Определите мощность, развиваемую двигателем.

Sloths are known for being slow. An average tree sloth moves at a speed of \( 0.743 \mathrm{~m} / \mathrm{s} \). T the nearest second, how long does it take a sloth to travel 22.3 m at this speed?

85 Un pannello di MDF, una fibra di legno utilizzata per mobili componibili, ha spessore \( (14,0 \pm 0,2) \mathrm{mm} \) e forma rettangolare con lati \( (60,0 \pm 0,1) \mathrm{cm} \) e \( (80,0 \pm 0,1) \mathrm{cm} \); la sua massa è \( (5600 \pm 20) \mathrm{g} \). Le specifiche del prodotto in- dicano che il materiale ha densità \( 850 \mathrm{~kg} / \mathrm{m}^{3} \), con tolle- ranza dell' \( 1 \% \). Calcola la densità del pannello in base ai valori mi- surati.

What is the dot product of vector \( j \) with a magnitude of 4 and a direction of \( 30^{\circ} \) and vector k with a magnitude of 10 and a direction of \( 15^{\circ} \) ? (Round your answer to the nearest tenth.)

f Steve throws the football 50 meters in 3 seconds, what is the average speed of the football? (nearest hundredth) If it takes Ashley 3 seconds to run from the batters box to first base at an average spe of 6.5 meters per second, what is the distance she covers in that time? \( \begin{array}{l}\text { Bart ran } 5000 \text { meters from the cops and an average speed of } 8 \text { meters/second before } \\ \text { he got caught. How long did he run? }\end{array} \)

1. A 0.500 g (small) mass on the end of a 1.70 m long string is pulled aside \( 20^{\circ} \) from the vertical and shoved downward (toward the bottom of its motion) with a speed of \( 2.4 \mathrm{~m} / \mathrm{s} \). (a) Is the angle on the other side greater than, less than, or the same as the angle on the initial side \( \left(20^{\circ}\right) \) ? Explain in terms of energy. (5pts) (b) Calculate the angle it goes to on the other side, neglecting air resistance. ( 10 pts )