2) Rolf throws a small bouncy ball of mass 52.0 g with speed 15.1 m/s. The ball bounces off a wall, rebounding at 13.8 m/s. The ball is in contact with the wall for 2.25 milliseconds (2.25 ms). Find the magnitude of the average acceleration of the ball during this time interval. (2 points) sibility: Good to go 2) Rolf, who is a big fan of measuring things, wants to know the height, h, of a cylindrical grain silo. He measures the circumference of the circular base to be 28.5 m. Then he measures the angle, 0, between the of the silo at the ground and the center of the circular to be 72.3. C = edge top a) Find r, the radius of the cylindrical silo. (1 point) b) Find h, the height of the silo. (1 point) ssibility: Investigate 0 1) Rolf wants to measure the height, H, of a building, so shoots a laser at the very top of the building, as shown the diagram to the right. He is holding the laser at a height of h at an angle 0 (measured up from the horizontal). He is standing a distance of l from the building. --- a) If30.5m, 0 = 25.0, and h = 1.65 m, find r, the length of the laser beam. (1 point) he in b) If r28.2 m, h = 1.65 m, and the total height of the building is H = 22.0 m, find l. (1 point) ssibility: Investigate 3) Rolf, who loves pizza even more than he loves measuring things, has the opportunity to snag a slice, but he will have to cross a river to get it. He is standing x = 185 m from a bridge that leads directly to the pizza, as shown in the diagram to the right. From his initial position, he measures the angle between his side of the riverbank and his taste of pepperoni heaven to be 0 = 22.7. a) Find y, the width of the river. (1 point) X b) Find r, the straight line distance from Rolf's initial position to the pizza. (1 point) c) Find the angle . (1 point) ssibility: Investigate 0 PHY 201 Homework 02 Show all your work for full credit. Report your answers in the correct units (m/s) and with the correct number of significant figures. Draw a box around each answer. 1) A leopard starts from rest and runs 51.2 m in a straight line, reaching a final speed of 70.8 km/hr. Determine the leopard's average acceleration during this sprint. (2 points) sibility: Good to go 3) Rolf throws a ball vertically upward with a speed of 18.6 m/s. a) How high does it rise? (2 points) b) How long does it take to reach its highest point? (2 points) ssibility: Good to go Equation Sheet 20240115 (1).pdf 1 / 1 74% + | 1. General Geometry meters kilograms seconds Ccircle = d = 2 (1.14) Prefix Exp Mult kilo k 103 1000 Acircle = 2 (1.15) centi 10-2 0.01 milli micro 10-6 nano 1 foot 1 mile m 10-3 0.001 n 10-9 Conversions 0.000001 0.000000001 1 inch = 2.54 cm 0.3048 m 1.609 km 1 m = 1000 L 2 rad = 360 Asphere Vsphere = r = 4r (1.16) (1.17) 2. Kinematics path length speed avg = elapsed time (2.1) Ax=x-xo (2.2) Average Velocity Ax 1 atm 1.013 105 Pa At x = x = 1 (v + 10) (2.3) 1 calorie 4.186] 0 Kelvin = -273.15C 1 BTU = 1055] Gravitational Acceleration g = -9.80 m/s Logarithms logxy by = x (1.1) Trigonometric Functions Velo Squared v = vx + 2ax Ax (2.6) Displacement Curve Ax = Voxt + axt (2.7) Projectiles (variations of eq. 2.7) Definition of Acceleration x = (2.4) At Vx = Vox axt (2.5) sin 0 = opposite hypotenuse (1.2) cos 0 = adjacent hypotenuse opposite (1.3) Ax = vxt (2.8) tan 0 = (1.4) adjacent Ay=voyt+ayt (2.9) Vector Components Ax = A cos 0 (1.5) Ay = A sin 0 (1.6) A = A + A (1.7) 0 = tan(Ay/Ax) (1.8) Delta (difference) AA = Af - Ai (1.9) Percent Difference/Error (E1+2100% (1.10) E1-E2 PD = AV-EV PE = x 100% EV (1.11) Pythagorean Theorem c = a + b Quadratic Formula -bb2-4ac x = 2a (1.12) (1.13) PHY 201 Ch01 HW Show all your work for full credit. Report your answers in the correct units (mks) and with the correct number of significant figures. Draw a box around each answer. 1) Convert the speed of light from meters per second (m/s) to miles per hour (mi/hr) for the following cases, noting that there are 1609.344 meters per mile. Pay attention to your significant figures. a) The speed of light is 2.99792 108 m/s. (1 point) b) The speed of light is 3.00 108 m/s. (1 point) c) The speed of light is 3 108 m/s. (1 point) ssibility: Investigate 4) A bullet is fired into a rectangular lump of clay that is 14.9 cm thick. The bullet travels through the clay, with its motion perpendicular to the face of the rectangular lump. The initial speed of the bullet is 375 m/s, and when it busts through the other side of the clay, its speed is 185 m/s. a) Find the average acceleration of the bullet as it passes through the board. (2 points) b) Find the total time the bullet is in contact with the lump of clay. (2 points) ssibility: Good to go