A block of mass 2kg is placed on a frictionless table. it is pulled by force f. it is gound to mpve 10 m in first 2 sec find magnitude of f
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Here we've been given with a block whose mass is of 2kg and is placed on a frictionless table (There won't be any friction force acting in backward direction).
- Mass of block = 2kg
Now, that given block is pulled by a force. After force is applied that block is displaced 10m and tooked 2 seconds.
- Time (t) = 2s
- Displacement (S) = 10m
So here we would be applying second equation of motion inorder to find out the acceleration (a).
★ 2nd Equation of motion :-
- S = ut + ½ at²
Where,
- S is displacement
- u is initial velocity
- a is acceleration
- t is time taken.
★ Applying all the given values :-
➛ 10 = 0 × 2 + ½ × (2)²
➛ 10 = 0 + ½ × a × (2)²
➛ 10 = ½ × a × (2)²
➛ 10 = ½ × a × (2 × 2)
➛ 10 = ½ × a × 4
➛ 10 × 2 = a × 4
➛ a × 4 = 20
➛ a = 20 / 4
➛ a = 10 / 2
➛ a = 5 / 1
➛ a = 5m/s²
As we know that,
- F = ma
Here,
- F is force
- a is acceleration
- m is mass of the object
★ Applying the values :-
➛ F = 2 × 5
➛ F = 10 N
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