Answer to Question #180129 in Classical Mechanics for Kaitlyn Hosking

Question

1.     A car accelerates at a rate of 0.4ms^-2 due to an unbalanced force of 500N.  Calculate the mass of the car.

2.     A boat of mass 2000kg is propelled forward due to an unbalanced force of 6500N.  Calculate the acceleration of the boat.

3.     If a 2kg block is pulled with a force of 10N and friction is 2N

a.     What is the size of the unbalanced force?

b.     What is the blocks acceleration?

4.     Two girls push a car of mass 1000 kg.  Each pushes with a force of 100 N and the force of friction is 120 N.  Calculate the acceleration of the car.

5.     A boat engine produces a  force of 10000 N and the friction and water resistance total 3500 N.  If the mass of the boat is 2000 kg, what will be its acceleration?

Answer 1

1) $F=m\times a$

$500=m\times 0.40$

m=1250kg

2)$F=m\times a$

$2000\times a=6500$

$a=3.25\frac{m}{s^2}$

3)

a) Net force=10-2=8N

$Net Force=m\times a$

$8=2\times a$

$a=4\frac{m}{s^2}$

4) Net force F=200-120=80N

$Net force F=m\times a$

$80=100\times a$

$a=0.08\frac{m}{s^2}$

5) Net force=10000-350=9650N

$9650=2000\times a$

$a=4.825\frac{m}{s^2}$