In the lab you studied the relation between the forces acting on an object and the resulting acceleration. You modeled the scenario from the Ice Climbers lab by having a cart of mass $M,$ initially resting on the track move along the track, by dropping a mass $m$ tied to a cart by a massless string as shown in the figure below.

The mass of the cart is $M=1kg,$ and the mass of the dropped weight is $m=50g.$ If the cart was held motionless for $5$ seconds and then released, which of the following graphs best describes the magnitude of the tension force in the string connecting the cart and the mass?In the lab you studied the relation between the forces acting on an object and the resulting acceleration. You modeled the scenario from the Ice Climbers lab by having a cart of mass $M,$ initially resting on the track move along the track, by dropping a mass $m$ tied to a cart by a massless string as shown in the figure below.

The mass of the cart is $M=1kg,$ and the mass of the dropped weight is $m=50g.$ If the cart was held motionless for $5$ seconds and then released, which of the following graphs best describes the magnitude of the tension force in the string connecting the cart and the mass?b$)$

c$)$

a$)$

Derive a symbolic expression for the $T$ : the difference between the stationary tension and the moving tension. Use only the symbols M $,$ m $,$ and g $.$

$T=T$ in such an experiment?

As $m$ increases the value of $T$ increases as well and it can increase indefinitely

The value of $T$ can both increase and decrease when $m$ is changing depending on whether or not $m$ is larger or smaller than $M$

As $m$ increases the value of $T$ decreases

As $m$ increases the value of $T$ increases as well but it can not exceed the value of mg

The value of $T$ does not change when $m$ is changing because $m$ is in the numerator and the denominator of that expression