A baseball player uses a pitching machine to help him improve his batting average. he places the 54.6 kg machine on a frozen pon
d. the machine fires a 0.149 kg baseball horizontally at a speed of 42.6 m/s. what is the magnitude of the recoil velocity of the machine? answer in units of m/s.
Step 1: Find the upward acceleration. d = 107 m a = ??? vi = 0 t = 14.4 sec d = vi * t + 1/2 at^2 107 = 1/2 a * 14.4^2 a = 214 / (14.4)^2 a = 1.03 m/s^2 Step 2: Find the Volume of the balloon and from that the mass.
V = 4/3 * pi * r^3 r = 6.52 m V = 4/3 x pi x 6.52^3 V= 1,161 m^3. Density of air = m/V 1.29 = m/ 1161 M = 1.29 x 1161 m = 1498 kg Step 3: The force keeping this in equilibrium = F = m* g F = 1498 * 9.81 = 14692 N Step 4: Find the mass needed to cause the upward acceleration. 14692 = (1498 - x) * (9.81 + 1.03) 14692 = (1498 - x) * 10.84 Divide both sides by 10.84 1355.35 = 1022 - x 1355.35 - 1022 x = 333.35 kg
1. When Archimedes discovered how to determine the irregular volume of an object by weighing it in the air and in an algua, he found that its volume is equal to the ratio between the differences of the masses (heavy in the air and in the water) and the density of the water (= 1g / ml)
2.as the principle of archimedes says, the displaced volume of water is equal to the volume of the bone which means that 39.4ml of water was displaced, taking into account that the density of water is the ratio between mass and volume we can determine the displaced body of water
3.
we use the density equation to find the bone density
<span>The answer would be: b. biosphere, atmosphere, and geosphere
The biosphere is made by the ecological system so the plants should be biosphere. The carbon dioxide is taken by the plant from the air which was the atmosphere. The nutrient is taken by the plant from the soil which is the geosphere.</span>