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in Physics by (76.1k points)

A cart is being pulled by Ahmed north-ward with a force of magnitude 70 N. Hamid is pulling the same cart in the south-west direction with a force of magnitude 50 N. Calculate the magnitude and direction of the resulting force on the cart.

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Here, magnitude of first force, say, A = 70 N. 

The magnitude of the second force, say, B = 50 N. 

Angle θ between the two forces = 135 degrees.

So, the magnitude of the resultant is given by Eqn. (1.2) :

The magnitude of R = 49.5 N. 

The direction is given by Eqn. (1.3):

Therefore, α = 45.0º (from the tables). Thus R makes an angle of 45º with 70 N force. That is, R is in North-west direction as shown in Fig. 1.9.

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