Question

force problems
force = mass x acceleration
f=ma a=f/m m=f/a
weight = mass x gravity
(g = 9/8 m/s/s)
w = mg
1 - what force is required to accelerate an object having a mass of 7 kg at 11 m/s²?
f
calculation
m
f = ma
a
2 - an object of mass 2 kg is observed to accelerate at the rate of 3 m/s². calculate the force required to produce this acceleration.
f
calculation
m 2kg
a 3ms
3 - a 25 kg block is pulled across a table by a horizontal force of 120 n with a frictional force of 20 n opposing the motion. calculate the acceleration of the object.
f
calculation
m
a = f / m 4m/s
a

Explanation:

Step1: Identify given values (Q1)

$m=7\ \text{kg}$, $a=11\ \text{m/s}^2$

Step2: Apply force formula (Q1)

$F = ma = 7 \times 11$

Step3: Identify given values (Q2)

$m=2\ \text{kg}$, $a=3\ \text{m/s}^2$

Step4: Apply force formula (Q2)

$F = ma = 2 \times 3$

Step5: Find net force (Q3)

$F_{\text{net}} = 120 - 20 = 100\ \text{N}$, $m=25\ \text{kg}$

Step6: Solve for acceleration (Q3)

$a = \frac{F_{\text{net}}}{m} = \frac{100}{25}$

Answer:

1. $77\ \text{N}$
2. $6\ \text{N}$
3. $4\ \text{m/s}^2$