One common experiment used to verify Newton’s second law of motion involves a ca

Question

One common experiment used to verify Newton’s second law of motion involves a cart on a horizontal track. The cart is accelerated by a weight, which is attached to a string running over a pulley. The unbalanced force accelerates both masses.

Given: The cart has a mass of 1.00 kg. The weight has a mass of 0.25 kg in one experiment and 2.50 kg in a second experiment.

Find: (a) What is the total mass being accelerated in the first experiment? (b) What is the acceleration of the cart in the first experiment? (c) What is the acceleration in the second experiment?

Explanation / Answer

here,

mass of cart , m1 = 1 kg

a)

the total mass of for the first experiment , M = m1 + hanging mass

M = 1 + 0.25 kg = 1.25 kg

b)

the accelration in first experiment , a1 = 0.25 * g /( M)

a1 = 0.25 * 9.81 /1.25 = 1.96 m/s^2

c)

the accelration in first experiment , a2 = 2.5 * g /( m1 + 2.5)

a2 = 2.5 * 9.81 /3.5 = 7 m/s^2

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