A motor car of 1000kg is moving with uniform velocity of 5m/s its final velocity becomes 25m/s in 4s due to applied force calculate the force......
Answers
Explanation:
5000N
Explanation :-
Given :
Mass of the vehicle,m = 1000kg
Initial velocity of the vehicle,u = 5m/s
Final velocity of the vechile,v = 25m/s
Time taken,t = 4s
To Find :
Force,f = ?
Solution :
We know,
\sf{}\sf{}f=maf=ma
We don acceleration,so let’s find out the acceleration first.
According to Newton’s first law of equation,
\sf{}v=u+atv=u+at
\sf{}\implies 25m/s=5m/s+a\times4s⟹25m/s=5m/s+a×4s
\sf{}\implies 25m/s-5m/s=a\times4s⟹25m/s−5m/s=a×4s
\sf{}\implies 20m/s=a\times4s⟹20m/s=a×4s
\sf{}\implies\dfrac{20m/s}{4s}=a⟹4s20m/s=a
\sf{}\therefore a= 5m/s^2∴a=5m/s2
Therefore,force:
\sf{}\implies Force=mass\times acceleration⟹Force=mass×acceleration
\sf{}\implies 1000kg \times 5m/s^2⟹1000kg×5m/s2
\sf{}\therefore 5000N∴5000N
Hence,force is equal to 5000N
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