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A truck starts from rest and rolls down a hill with a constant... - Science
A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 400 m in 20 s. Find its acceleration. Find the force acting on it if its mass is 7 tonnes (Hint: 1 tonne = 1000 kg.)
Given Data,
Initial velocity (
u):0 \, \text{m/s}(since it starts from rest)Distance (
s):400 \, \text{m}Time (
t):20 \, \text{s}Mass (
m):7 \, \text{tonnes}
Finding Acceleration (a)
We use the second equation of motion: s = ut + \frac{1}{2}at^2
Substituting the values:
400 = (0 \times 20) + \frac{1}{2} \times a \times (20)^2400 = 0 + \frac{1}{2} \times a \times 400400 = 200a
Now, solve for a:
a = \frac{400}{200}a = 2 \, \text{m/s}^2
Finding Force (F)
First, convert the mass into kilograms: m = 7 \times 1000 = 7000 \, \text{kg}
Now, use Newton's Second Law of Motion:
F = m \times a
Substituting the values:
F = 7000 \, \text{kg} \times 2 \, \text{m/s}^2F = 14000 \, \text{N}
Answer
The acceleration of the truck is
2 \, \text{m/s}^2.The force acting on the truck is
14000 \, \text{N}.