Question

The mass of a goods lorry is 3500 Kg and the mass of goods loaded on it is 1500 Kg. If the lorry is moving with a velocity 10m/s. What will be its momentum ?

• A. \(25000 \ \text{Kg m/s}\)
• B. \(30000 \ \text{Kg m/s}\)
• C. \(40000 \ \text{Kg m/s}\)
• D. \(50000 \ \text{Kg m/s}\)

Hint:

Momentum (\(p\)) is calculated as \(p = mv\). 1. First, find the total mass of the moving object or system. 2. Then, multiply this total mass by its velocity. Ensure units are consistent: mass in Kg, velocity in m/s, so momentum will be in Kg m/s.

Answer 1

The Correct Option is D

Concept: Momentum (linear momentum) of an object is a measure of its mass in motion. It is defined as the product of the object's mass and its velocity. Step 1: Identify the given quantities Mass of the lorry, \(m_{\text{lorry}} = 3500 \ \text{Kg}\) Mass of the goods loaded, \(m_{\text{goods}} = 1500 \ \text{Kg}\) Velocity of the lorry (with goods), \(v = 10 \ \text{m/s}\) Step 2: Calculate the total mass The total mass (\(M\)) of the moving system (lorry + goods) is the sum of the mass of the lorry and the mass of the goods. \[ M = m_{\text{lorry}} + m_{\text{goods}} \] \[ M = 3500 \ \text{Kg} + 1500 \ \text{Kg} \] \[ M = 5000 \ \text{Kg} \] Step 3: Recall the formula for momentum Linear momentum (\(p\)) is given by the formula: \[ p = \text{mass} \times \text{velocity} \] \[ p = M \times v \] Step 4: Substitute the total mass and velocity into the formula \[ p = (5000 \ \text{Kg}) \times (10 \ \text{m/s}) \] Step 5: Calculate the momentum \[ p = 50000 \ \text{Kg} \cdot \text{m/s} \] The unit of momentum is \(\text{Kg} \cdot \text{m/s}\). Therefore, the momentum of the lorry will be \(50000 \ \text{Kg m/s}\).