QuestionA 2.00 kg block (mass 1 ) and a 4.00 kg block (mass 2 ) are connected by a light string as shown; the inclination of the ramp is $40.0^{\circ}$. Friction is negligib What is (a) the acceleration of each block and (b) the tension in the string?

Studdy Solution
Use the acceleration to find the tension in the string.
Substitute $a$ into the equation for block 1:
$$T = m_1 \cdot a + m_1 \cdot g$$
$$T = 2.00 \cdot 0.925 + 2.00 \cdot 9.81$$
$$T = 1.85 + 19.62$$
$$T = 21.47 \, \text{N}$$
The acceleration of each block is $0.925 \, \text{m/s}^2$ and the tension in the string is $21.47 \, \text{N}$.