The figure shows an arrangement with an air track, in which a cart is connected by a cord to ahanging block. The cart has mass m₁ = 0.770 kg, and its center is initially at xy coordinates (-0.520m, 0 m); the block has mass m₂ = 0.570 kg, and its center is initially at xy coordinates (0, -0.150 m).The mass of the cord and pulley are negligible. The cart is released from rest, and both cart andblock move until the cart hits the pulley. The friction between the cart and the air track andbetween the pulley and its axle is negligible. (a) In unit-vector notation, what is the acceleration ofthe center of mass of the cart-block system? (b) What is the velocity of the com as a function oftime t, in unit-vector notation?CA2011001₂·x

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Description: The figure shows an arrangement with an air track, in which a cart is connected by a cord to ahanging block. The cart has mass m₁ = 0.770 kg, and its center is initially at xy coordinates (-0.520m, 0 m); the block has mass m₂ = 0.570 kg, and its cen

a) The force action on m1 in x- direction T= m1a The force acting on m2 in y- direction m2a= m2g - T…

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between the pulley and its axle is negligible. (a) In unit-vector notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a function of time t, in unit-vector notation?

between the pulley and its axle is negligible. (a) In unit-vector notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a function of time t, in unit-vector notation?

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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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The figure shows an arrangement with an air track, in which a cart is connected by a cord to a
hanging block. The cart has mass m₁ = 0.770 kg, and its center is initially at xy coordinates (-0.520
m, 0 m); the block has mass m₂ = 0.570 kg, and its center is initially at xy coordinates (0, -0.150 m).
The mass of the cord and pulley are negligible. The cart is released from rest, and both cart and
block move until the cart hits the pulley. The friction between the cart and the air track and
between the pulley and its axle is negligible. (a) In unit-vector notation, what is the acceleration of
the center of mass of the cart-block system? (b) What is the velocity of the com as a function of
time t, in unit-vector notation?
CA
201
100
1₂
·x

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