Home
Class 11
PHYSICS
A block whose mass is 1 kg is fastened t...

A block whose mass is 1 kg is fastened to a spring. The spring has a spring constant of `50 N m^(-1)`. The block is pulled to a distance x = 10 cm from its equilibrium position at x = 0 on a frictionless surface from rest at t = 0. Calculate the kinetic, potential and total energies of the block when it is 5 cm away from the mean position.

Text Solution

Verified by Experts

Here `m=1 kg, k=50Nm^(-1), A=10cm=0.10m, y=5cm=0.05m`
Kinetic energy: `E_(K)=(1)/(2)k(A^(2)-y^(2))=(1)/(2)xx50[(0.10)^(2)-(0.05)^(2)]=0.1875J`
Potential energy, `E_(P)=(1)/(2)ky^(2)=(1)/(2)xx50xx(0.05)^(2)=0.0625J`
Total energy, `E=E_(K)+E_(P)=0.1875+0.0625=0.25J`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (3-MARKS QUESTIONS )|2 Videos

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))|20 Videos

  • PROPERTIES OF MATTER

    FULL MARKS|Exercise Additional Questions Solved - Numerical Questions|19 Videos

Similar Questions

Explore conceptually related problems

A block of mass on kg is fastened to a spring with a apring constant 50 Nm^(-1) . The block is pulleed to a distance x=10 cm from its equilibrium position at x=0 on a frictionless surface from rest at t=0. Write the expression fr its x (t) and v(t).

A block of mass 10 kg is suspended throug two light spring balances as shown in figure

The block of mass m_1 shown in figure is fastened to the spring and the block of mass m_2 is placed as against it. Find the compression of the spring in the equilibrium position.

A block of 2 kg is lifted up through 2m from the ground. Calculate the potential energy of the block at that point.

A block of mass m hangs from a vertical spring of spring constant k. If it is displaced from its equilibrium position, find the time period of oscillations.

A block of mass m is suspended through a spring of spring constant k and is in equilibrium. A sharp blow gives the block an initial downward velocity v. How far below the equilibrium position, the block comes to an instantaneous rest?

A 5 kg collar is attached to a spring of spring constant 500 N m^(-1) . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10.0 cm and released. Calculate (a) the period of oscillation, (b) the maximum speed and (c) maximum acceleration of the collar.