Question

Calculate Brittany stands at rest on a skateboard. The combined mass of Brittany and the skateboard is $61 \mathrm{~kg}$. Dave tosses a 3.7-kg pumpkin to Brittany, and when she catches it, she and the skateboard begin to roll backward with a speed of $0.16 \mathrm{~m} / \mathrm{s}$. What was the speed of the pumpkin?

Name: Problem 58, Chapter 7: Pearson Physics
Uploaded: 2023-02-22T18:47:58-08:00
Duration: 2 min 50 s
Channel: Nishant Kumar
Description: Calculate Brittany stands at rest on a skateboard. The combined mass of Brittany and the skateboard is 61 kg. Dave tosses a 3.7-kg pumpkin to Brittany, and when she catches it, she and the skateboard begin to roll backward with a speed of 0.16 m / s. What was the speed of the pumpkin?

   Calculate Brittany stands at rest on a skateboard. The combined mass of Brittany and the skateboard is $61 \mathrm{~kg}$. Dave tosses a 3.7-kg pumpkin to Brittany, and when she catches it, she and the skateboard begin to roll backward with a speed of $0.16 \mathrm{~m} / \mathrm{s}$. What was the speed of the pumpkin?

Pearson Physics

James S. Walker 1st Edition

Chapter 7, Problem 58

Instant Answer

Solved by Expert Nishant Kumar

02/22/2023

Step 1

The total momentum before Brittany catches the pumpkin is equal to the total momentum after she catches the pumpkin. Show more…

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Calculate Brittany stands at rest on a skateboard. The combined mass of Brittany and the skateboard is $61 \mathrm{~kg}$. Dave tosses a 3.7-kg pumpkin to Brittany, and when she catches it, she and the skateboard begin to roll backward with a speed of $0.16 \mathrm{~m} / \mathrm{s}$. What was the speed of the pumpkin?

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Key Concepts

Linear Momentum

Linear momentum is a fundamental concept in physics defined as the product of an object's mass and its velocity. It is a vector quantity, meaning it has both magnitude and direction, and is used to analyze the motion of objects, particularly in collision scenarios.

Conservation of Momentum

The principle of conservation of momentum states that within an isolated system with no external forces, the total momentum remains constant. This principle is often applied to analyze interactions such as collisions, where the momentum before the event is equal to the momentum after the event.

Inelastic Collisions

In inelastic collisions, two or more objects collide and stick together, moving as a single combined entity after impact. While kinetic energy is not conserved in these collisions, the total momentum of the system remains constant, making it essential for solving many momentum-related problems.

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