A truck is moving under a hopper with a constant speed of 20m/s. Sand falls on the truck at a rate 20 kg/s. What is the force acting on the truck due to falling of sand?(Ans: 400N opposite to the motion)
Answers
Given conditions ⇒
Speed of the Body = 20 m/s.
Mass of the sand = 20 kg.
Time taken by the sand to falls on the truck = 1 seconds.
∴ Acceleration = 20 m/s².
Now, Using the Formula,
Force = Mass × Acceleration
= 20 × 20
= 400 N.
Now, Magnitude of the Force is 400 N.
The direction of the Force will be opposite to the motion of the truck since the sand falls on the truck.
Hope it helps.
Thanks for the question!
It is definitely a very interesting question to solve and do some brainstorming.
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Speed of truck = 20 m/s.
Mass of the sand = 20 kg.
Time consumed by sand to fall at the speed of 20 m/s is 1 second.
We know,
Force = Mass × Acceleration
= 20 × 20
= 400 N.
Henceforth, a force of 400 N is exerted.
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Hope it helps and solves your query!!