I have these problems to study from for an upcoming exam formy physics class (wh

Question

I have these problems to study from for an upcoming exam formy physics class (which I really need to pass), the only problem isthat they will not give us the answers, so please if you can showyour work and the answers aswell, so I can fully understand theconcept, because of tried many ways of solving them but I am notsure if they are right or not. I would appreciate it soomuuuch!

1)A cannon shoots a cannonball which lands 6 s later at alocation which is 200 m horitzontally and 100m vertically upwardfrom the cannon. When answering the following questions,please use the numerical value of 10 m/s^2 for the acceleration dueto gravity when approrpriate. a) Determine the magnitude (Vo) and direction (theta) of theinitial velocity of the cannonball. b) Determine the maximum height (h) the cannon ballreaches
2) An external force, "f", whose direction is 60ºbelow the horizontalm is applied to a 5kg block which is slidingacross a frictionless surface. This block is attached to a3kg block by a tight massless string which runs over a frictionlesspulley. The 3kg block moves upwatds with a constantacceleration of 2 m/s^2.
a) determine the tension of the string b) determine the magnitude of "F" c) Determine the force exerted on the 5kg block by thehorizontal surface I have these problems to study from for an upcoming exam formy physics class (which I really need to pass), the only problem isthat they will not give us the answers, so please if you can showyour work and the answers aswell, so I can fully understand theconcept, because of tried many ways of solving them but I am notsure if they are right or not. I would appreciate it soomuuuch!

1)A cannon shoots a cannonball which lands 6 s later at alocation which is 200 m horitzontally and 100m vertically upwardfrom the cannon. When answering the following questions,please use the numerical value of 10 m/s^2 for the acceleration dueto gravity when approrpriate. a) Determine the magnitude (Vo) and direction (theta) of theinitial velocity of the cannonball. b) Determine the maximum height (h) the cannon ballreaches
2) An external force, "f", whose direction is 60ºbelow the horizontalm is applied to a 5kg block which is slidingacross a frictionless surface. This block is attached to a3kg block by a tight massless string which runs over a frictionlesspulley. The 3kg block moves upwatds with a constantacceleration of 2 m/s^2.
a) determine the tension of the string b) determine the magnitude of "F" c) Determine the force exerted on the 5kg block by thehorizontal surface

Explanation / Answer

First find the initial horizontal velocity of thecannonball vx = x/t = 200m/6s = 33.3m/s The inital vertical velocity = vy = voy+gt voy = 0m/s - -10*3s = 30m/s Now you can find magnitude by pythag theorem 33.32+ 302 = c2 = 44.82m/s is the magnitude anddirection is tan-1 (30/33.3) = 42.0o height is y = voyt + 1/2gt2 = 30m/s * 3s+ 1/2* -10 * 32 = 45m Fx = F(applied) - T = ma Fy = T - mg = ma T- (3kg)(10) = 3*2 T = 36N F(applied) - 36N = 5kg * 2m/s2 : Fapp = 46Nin the x direction Since the force is exerted at an angle F = 46N/cos60 =92N The surface is exerting 50N from its weight, but you need tocalculate the vertical component of the F as well. sin60 * 92 = 79.7 + 50 = 129.7N Hope that helps height is y = voyt + 1/2gt2 = 30m/s * 3s+ 1/2* -10 * 32 = 45m Fx = F(applied) - T = ma Fy = T - mg = ma T- (3kg)(10) = 3*2 T = 36N F(applied) - 36N = 5kg * 2m/s2 : Fapp = 46Nin the x direction Since the force is exerted at an angle F = 46N/cos60 =92N The surface is exerting 50N from its weight, but you need tocalculate the vertical component of the F as well. sin60 * 92 = 79.7 + 50 = 129.7N Hope that helps

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