# 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.

2
by shaRangeevgr55

2015-10-10T12:03:08+05:30

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Mass = 20kg
friction = P
force = 1.2 P
a = 0.05 m/s^2

1.2P - P = 20 * 0.05
0.2P = 1
P = 1/0.2
P = 5N
2015-10-10T23:59:46+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
When force P acts and the cart travels with uniform velocity (0 acceleration), it means that force P cancels the Friction force acting in the opposite direction.

net force on cart = mass * acceleration
1.2 P - friction = mass * acceleration
1.2 P - P = 20 kg * 0.05 m/sec/sec
0.20 P = 1  Newton

P = 5 Newtons