A constant force is applied to an object, causing the object toaccelerate at 7.4
ID: 1761079 • Letter: A
Question
A constant force is applied to an object, causing the object toaccelerate at 7.4 m/s2. What would the acceleration be if each ofthe following things happened (from the initial state)? (a) the force is doubled ____ m/s2 (b) the object's mass is doubled? ____ m/s2 (c) the force and the object's mass are both doubled ____ m/s2 (d) the force is doubled and the object's mass is halved ____ m/s2(a) the force is doubled ____ m/s2 (b) the object's mass is doubled? ____ m/s2 (c) the force and the object's mass are both doubled ____ m/s2 (d) the force is doubled and the object's mass is halved ____ m/s2
Explanation / Answer
Let F be the force applied to the object acceleration a = 7.4 m/s2 we knowthat F = m a a =F /m a) if force is doubled F =2F a = 2F /m a /2 = F /m acceleration a = 7.4 /2 = 3.4m/s2 b) if the objects mass is doubled that is m= 2m a = F / 2m 2a = F /m acceleration a = 2 x7.4 = 14.8m/s2 c) ifthe force and the object's mass are both doubled acceleration = 2F/2m = a = 7.4 m/s2 d)the force is doubled and the object's mass is halved F =2F ; m = m/2 a = F /m = 2F/(m/2) = 4(F/m) a/4= F /m acceleration a = 7.4 /4 = 1.85m/s2 d)the force is doubled and the object's mass is halved F =2F ; m = m/2 a = F /m = 2F/(m/2) = 4(F/m) a/4= F /m acceleration a = 7.4 /4 = 1.85m/s2Related Questions
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