Question

In: Physics

1.One form of Newton’s 2nd Law is written F = ma If the force is doubled...

1.One form of Newton’s 2nd Law is written F = ma

If the force is doubled and the mass stays the same, the value of the new acceleration compared to its previous value will be

a.

1/4 the previous

b.

1/2 the previous

c.

remain the same

d.

2 times larger than the previous

e.

4 times larger than the previous

2. One form of Newton’s 2nd Law is written F = ma

If the mass is three times larger than before and the force is twice as large, the value of the new acceleration compared to its previous value will be

a.

1/9 the previous

b.

1/3 the previous

c.

2/3 the previous

d.

remains the same

e.

3/2 times larger than the previous

f.

3 times larger than the previous

g.

9 times larger than the previous

3.In a fictional alternate universe assume that Newton’s Second Law was   a = m/F where a, m and F mean the same thing as they do in your current universe. Give a short answer to the following:


Explain what would happen to the value of a measured acceleration in the alternate universe if the mass were suddenly increased while the force stayed the same.

Explain what would happen to the value of a measured acceleration in the alternate universe if the mass stayed the same while the force suddenly decreased.

Solutions

Expert Solution

Answers :

Question (1) Answer : (d) 2 times larger than the previous.

Becasue, According to Newton's 2nd law : Acceleration is directly proportional to the applied force. Thus, if the force is doubled - The acceleration of the object will be also doubled.


Question (2) Answer : (c) 2/3 the previous.

Since : a = F/m

Thus : a' = F' / m' = (2F) / (3m) = (2/3) F

Question (3) Answers :

Explain what would happen to the value of a measured acceleration in the alternate universe if the mass were suddenly increased while the force stayed the same.

Answer : Since the accleration is inversly proportional to the mass (a = F/m). Thus if the mass is increased - The acceleration of the object will decreases.

Explain what would happen to the value of a measured acceleration in the alternate universe if the mass stayed the same while the force suddenly decreased.

Answer : According to Newton's 2nd law : Acceleration is directly proportional to the applied force. Thus, if the force is increased - The acceleration of the object will be also increases.


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