# When a horizontal force P acts on a cart of mass 20 kg,it moves with a uniform velocity on a horizontal floor. When a force of 1.2P acts on the cart, it moves with an acceleration of 0.05 metre per second square. Find the value of P.

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by Manishtiwari

2014-09-05T06:31:34+05:30

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The horizontal floor has a frictional force F that inhibits the movement of the cart.

Acceleration of cart = P - F = 0 as the cart moves with constant velocity and acceleration is 0
So F = P

When a force of 1.2 P acts on the cart, acceleration a of the cart is
1.2 P - F = m a
1.2 P - P = 20kg * 0.05 m/sec²

P = 1/0.2 = 5 Newtons

what does it mean "1.2P - F = m a"?
net force or resultant of forces 1.2P and Frictional force, causes an acceleration a in the cart.
are u 11th class manish?