A truck of mass 8000 kg starts from rest and rolls down a hill with constant
acceleration. It travels a distance of 400 m in 20 s. Find its acceleration
and force acting on it.
Answers
Answer :
- 16000N is the Force acting on it
Given :
- A truck mass 8000kg starts from rest and rolls down a hill with constant acceleration
- It travels a distance of 400m in 20 s.
To find :
- Acceleration
- Forcing on it .if it mass is 7 metric tonnes
Solution:
- Distance travelled (s) = 400m
- Time (t) = 20 s
- Initially velocity (u) = 0 m/s
First we need to find the acceleration by using the second equation of motion:
By using the second equation of motion
- s = ut + 1/2 at²
Where,
- s is distance travelled
- u is Initially velocity
- t is time
- a is acceleration
➞ s = ut + 1/2 at²
➞ 400 = 0 × (20) + 1/2 × a × (20)²
➞ 400 = 0 + 1/2 × a × 400
➞ 200a = 400
➞ a = 400/200
➞ a = 2 m/s²
Acceleration (a) = 2 m/s²
Now, we need to find the force acting on it
We know that,
Force = Mass × Acceleration
Given that, mass is 8000 kg
➞ 2 × 8000 kg
➞ 16000N
Hence , 16000 N is the Force acting on it .
➞ s = ut + 1/2 at²
➞ 400 = 0 × (20) + 1/2 × a × (20)²
➞ 400 = 0 + 1/2 × a × 400
➞ 200a = 400
➞ a = 400/200
➞ a = 2 m/s²
Acceleration (a) = 2 m/s²
Now, we need to find the force acting on it
We know that,
Force = Mass × Acceleration
Given that, mass is 8000 kg
➞ 2 × 8000 kg
➞ 16000N