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A truck A of mass 1500kg pulling a trailer B of mass 4600kg. The frictional force on A is 1200N, on B it is 2400N, and the truck engine exerts force of 10000N. Calculate:
(a). the acceleration due to gravity.
(b). the tension T in the row bar containing A and B.​

Sagot :

Fekraouiabdallah786

Let’s solve the given problem step by step:

(a) The acceleration due to gravity is a constant value on Earth and it is approximately 9.81 m/s².

(b) To calculate the tension ( T ) in the tow bar connecting truck A and trailer B, we can use the following steps:

First, we find the net force acting on the system by subtracting the total frictional forces from the force exerted by the truck engine:

Net Force=Force of Engine−(Friction on A+Friction on B)

Then, we calculate the total mass of the system by adding the masses of truck A and trailer B:

Total Mass=Mass of A+Mass of B

Next, we find the acceleration of the system using Newton’s second law:

Acceleration=Total Mass/Net Force

Finally, the tension in the tow bar is the force needed to pull trailer B with the calculated acceleration, plus the frictional force on B:

T=(Mass of B×Acceleration)+Friction on B

After performing these calculations, the tension ( T ) in the tow bar is found to be 7226.23 N.

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