Question

(25%) Problem 4: Consider two projectiles that can be shot upward by spring guns. Object A is made of solid aluminum and has a mass of 50 grams. Object B is made of cast iron and has a mass of 200 grams. For this problem, you may take the gravitational field strength to be g = 10 N/kg. A 14% Part (a) Masses A and B are both shot straight upward at the same time. Mass A is shot with a speed of 2 m/s and mass B with a speed of 1 m/s. Which one hits the ground first? They will hit the ground at the same time. It is impossible to determine this. O Object B Object A Grade Summary Deductions 0% Potential 100% Submissions Attempts remaining: 3 (33% per attempt) detailed view Submit Hint Feedback I give up! Hints: for a 0% deduction. Hints remaining: O Feedback: 0% deduction per feedback. 14% Part (b) Explain your reasoning. 14% Part (C) Find an equation that express how high a ball rises, if it is shot straight up with a speed vo, it has a mass m, and the gravitational field strength is g. A 14% Part (d) Both masses are shot upward with a velocity of 2.0 m/s. How high does object A go in meters? (Ignore air resistance.)

Answer 1

than mass A so, Object B 4. Given, object A mass= 50 grams object B mass = goograme g=wring part a : masih shot with a speed of a mls. initial velocity, a 2 mls. Mass B shat with a speed of 1mls, initial velocity, VB i = 1 m/s. Ansi object B. Part ba object it will hits the ground first. Explanation & They release form same time for A 고 ng V = V2 + 1 g)t => t= Visi V40 انہ fors, asing kinematic equation, va a + (-9) t At man height sy t = g Total time (T) = time. ascent & time of axt FOD A, Vai destand, 7 for B TB = 2x1. TA = 2x2 10 10 - TB = 0.2 sec. TA = 0.4 see in air remains since, mass B for smaller time Hence, object & hits the ground fisst,

paste Giren, initial veloci velocity is vo mass m gravitational field spengthg. we know from kinematics equation, 12 - 1² - 2gh At h= maxinum height. vo final velocity omes. (0)2 12 - ggle Soking for h, th= 42 29 part d. from the above equation, h = 182 ag substitute the value of to = 2mbs. h = (2) 2 m/s2 2x10 /kg) h = 0.2 m