Work 1D - Problem Solving Practice Problems Online

A body of mass \( m = 2 \text{ kg} \) is dropped from \( h = 70 \text{ cm} \) above a horizontal platform that is fixed to one end of an elastic spring, as shown in the figure above. As a result the spring is compressed by an amount of \(\Delta x = 20 \text{ cm}. \) What is the spring constant of the spring?

The gravitational acceleration is \( g= 10 \text{ m/s}^2 \) and the air resistance is negligible.

Your answer seems reasonable. Find out if you're right!

You must be logged in to see worked solutions.

That seems reasonable. Find out if you're right!

or

Already have an account? Log in here.

A body initially at rest is dropped from a height of \( h = 45\text{ m}. \) If the coefficient of restitution is \( e= 0.6, \) what is the height the body reaches at the second bounce?

The gravitational acceleration is \( g= 10 \text{ m/s}^2. \)

Your answer seems reasonable. Find out if you're right!

You must be logged in to see worked solutions.

That seems reasonable. Find out if you're right!

or

Already have an account? Log in here.

A \(14\)-meter-long rod of mass \( 2 \text{ kg} \) with homogeneous density is standing vertically with one end on a horizontal floor. Find the gravitational potential energy of the rod.

The gravitational acceleration is \( g = 10 \text{ m/s}^2. \)

Your answer seems reasonable. Find out if you're right!

You must be logged in to see worked solutions.

That seems reasonable. Find out if you're right!

or

Already have an account? Log in here.

A body of mass \( m = 5 \text{ kg} \) is moving on a frictionless horizontal plane with a velocity of \( v= 4 \text{ m/s}. \) The body is heading to the vertical platform fixed to one end of an elastic spring, as shown in figure above. As a result the spring is compressed by an amount of \(\Delta x = 20 \text{ cm}. \) What is the spring constant of the spring?

Your answer seems reasonable. Find out if you're right!

You must be logged in to see worked solutions.

That seems reasonable. Find out if you're right!

or

Already have an account? Log in here.

A block of mass \( m_1 = 3 \text{ kg} \) is moving on a frictionless horizontal surface with a velocity of \( u_1 = 16 \text{ m/s} \) towards another block of mass \( m_2 = 9 \text{ kg} \) that is moving on the same surface with a velocity of \( u_2 = 8 \text{ m/s} \) in the same direction. A massless spring of spring constant \( k = 36 \text{ N/m} \) is attached to \( m_2 \) as shown in figure above. When block \( m_1 \) collides with the spring, what is the maximum change in the spring's length?

Your answer seems reasonable. Find out if you're right!

You must be logged in to see worked solutions.

That seems reasonable. Find out if you're right!

or

Already have an account? Log in here.

Work

Concept Quizzes

Challenge Quizzes

1D Problem Solving

Waste less time on Facebook — follow Brilliant.

Work

Concept Quizzes

Challenge Quizzes

1D Problem Solving