A block of mass 500 g is connected to a spring of spring constant k = 312.4 N/m on a frictionless table. The spring is held firmly at the other end. The block is pulled a distance of 5 cm and then released to make SHM . Calculate the time period of its oscillations.

Question

A block of mass 500 g is connected to a spring of spring constant k = 312.4 N/m on a frictionless table. The spring is held firmly at the other end. The block is pulled a distance of 5 cm and then released to make SHM . Calculate the time period of its oscillations. (A) 2.0 s (B) 1.75 s (C) 0.5 s (D) 0.25 s

Tardigrade Admin · Accepted Answer

Time period, T = 2π √(m/k) = 2× 3.14 √ (500/1000/312.5) = 0.25 s

Q. A block of mass $500 g$ is connected to a spring of spring constant $k = 312.4 N / m$ on a frictionless table. The spring is held firmly at the other end. The block is pulled a distance of $5 c m$ and then released to make $S H M$ . Calculate the time period of its oscillations.

2.0 s

1.75 s

0.5 s

0.25 s

Time period, $T = 2 π \frac{m}{k}$
$= 2 \times 3.14 \frac{500/1000}{312.5}$
$= 0.25 s$

Q. A block of mass 500g is connected to a spring of spring constant k=312.4N/m on a frictionless table. The spring is held firmly at the other end. The block is pulled a distance of 5cm and then released to make SHM . Calculate the time period of its oscillations.