Question

A constant force is applied to an object, causing the object to accelerate at 7.00 m/s2 . What will the acceleration be if...

a.) The force is doubled?

b.) The object's mass is doubled?

c.) The force and the object's mass are both doubled?

d.) The force is doubled and the object's mass is halved?

Answer 1

initially:

F1 = m1*a1

a1 is 7.00 m/s^2

a)

now

F2 = m2*a2

here:

F2 = 2*F1

m2 = m1

a2 = ?

use:

F2/F1 = (m2/m1)*(a2/a1)

2 = 1*a2/7.00

a1 = 14.0 m/s^2

Answer: 14.0 m/s^2

b)

now

F2 = m2*a2

here:

F1 = F1

m2 = 2*m1

a2 = ?

use:

F2/F1 = (m2/m1)*(a2/a1)

1 = 2*a2/7.00

a1 = 7.00/2 = 3.5 m/s^2

Answer: 3.5 m/s^2

c)

now

F2 = m2*a2

here:

F1 = 2*F1

m2 = 2*m1

a2 = ?

use:

F2/F1 = (m2/m1)*(a2/a1)

2 = 2*a2/7.00

a1 = 7.00 m/s^2

Answer: 7.00 m/s^2

d)

now

F2 = m2*a2

here:

F1 = 2*F1

m2 = m1/2

a2 = ?

use:

F2/F1 = (m2/m1)*(a2/a1)

2 = (1/2)*a2/7.00

4 = a2/7.00

a1 = 28.0 m/s^2

Answer: 28.0 m/s^2