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A truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of 400 m in 20s. Find its acceleration. Find the force acting on it if its mass is 7 metric tons (Hint: 1 metric ton = 1000 kg).
By BYJU'S Exam Prep
Updated on: September 25th, 2023
The force acting on it if its mass is 7 metric tons is 14000 N. Steps to find acceleration and force acting:
Step 1: Given that
Time is taken, t = 20s
Distance travelled, s = 400 m
Mass of the truck, m = 7 metric tons = 7000 kg
Initial velocity, u = 0m/s
Step 2: Using the equation of motion we have to calculate the acceleration:
We have:
s = ut + ½ at2
Substituting the values in the above equation we get:
400 m = 0 x 20s + ½a x (20)2
a = (400 x 2)/ (20 x 20)
In simplification we get the:
a = 2 m/s2
Hence, the acceleration of the truck is 2 m/s2
Now, we know that:
F = ma
Substituting the values we get:
F = 7000 x 2
F = 14000 N
Therefore, the force acting on the truck is 14000 N
Effects of Force
The definition of force in physics is: The push or pull on a massed object changes its velocity. Motion is described in physics as a change in position with respect to time. Motion, to put it simply, is the movement of a body. Motion is typically characterised as:
- Change in speed
- Change in direction
Here are some of the consequences that the Force can have.
- A body at rest can be forced to move.
- It can either slow down or stop a moving body.
- It can quicken the pace of a moving object.
- Along with altering its size and shape, it can alter the direction of a moving body as well.
Summary:
A truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of 400 m in 20s. Find its acceleration. Find the force acting on it if its mass is 7 metric tons (Hint: 1 metric ton = 1000 kg).
A truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of 400 m in the 20s. Its acceleration is 2 m/s2. The force acting on it if its mass is 7 metric tons is 14000 N.