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 it's mass is 7 tonnes (Hint: 1 tonne 1000 kg.)
Question
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 it's mass is 7 tonnes (Hint: 1 tonne 1000 kg.)
Solution
Sure, let's solve this step by step.
Step 1: Find the acceleration
We know that the truck starts from rest and rolls down a hill with a constant acceleration. We can use the equation of motion:
s = ut + 0.5at^2
where: s = distance travelled = 400 m u = initial velocity = 0 (since the truck starts from rest) t = time = 20 s a = acceleration (which we need to find)
Substituting the given values into the equation, we get:
400 = 020 + 0.5a*(20)^2
Solving this equation for a, we get:
a = (2*400) / (20)^2 = 2 m/s^2
So, the acceleration of the truck is 2 m/s^2.
Step 2: Find the force
We know that Force = mass * acceleration. The mass of the truck is given as 7 tonnes, which is equal to 7*1000 = 7000 kg.
So, Force = 7000 kg * 2 m/s^2 = 14000 N
Therefore, the force acting on the truck is 14000 N.
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