**Physics Problem Set**1) What is the linear momentum of an object with mass 50 kg and speed 15 m/s?2) A 0.25 kg ball of clay is thrown at a stationary 5 kg block of wood. The clay sticks to the wood, and their velocity after is 3 m/s. What was the original velocity of the clay?3) A 50 kg boy on skates moves with a speed of 5 m/s. He runs into a stationary girl with skates of mass 40 kg. Assuming they stick together, what is their speed after the collision?4) A running back with a mass of 80 kg and speed 8 m/s collides with, and is held by, a 120 kg defensive tackle going in the opposite direction. How fast must the tackle be going before the collision for their speed afterward to be zero?5) An object is pushed along a horizontal surface with a force of 10 N. If the object is moved 15 m, how much work does the pushing force do? How much work does gravity do?6) As it orbits the Earth, the 11,000 kg Hubble Space Telescope travels at a speed of 7,900 m/s and is 560,000 m above the Earth’s surface. What is its kinetic and potential energy?7) A child on a swing has a speed of 7.7 m/s at the low point of the arc. What will be the maximum height of the child?8) If an object is thrown straight up and reaches a height of 20 m, what was the initial speed of the object?9) An object of 2 kg is moving in a circle of radius 4 m and speed 0.5 m/s. What is the angular momentum of the object? **Problem Statement:**1) A bullet of mass 0.01 kg is fired horizontally into a block of wood of mass 2 kg. The wood is hanging on a string initially at rest. When the bullet hits the wood, it gets embedded into the wood. Then they swing upward to a height of 0.1 m. What was the initial speed of the bullet?**Analysis:**This problem involves concepts of momentum and energy conservation. Initially, the bullet moves with a certain speed and crashes into a stationary block of wood, becoming embedded in it. The combined system then swings upward, converting kinetic energy into potential energy. We aim to find the initial speed of the bullet. 1. **Momentum Conservation:** - Before the collision, only the bullet has momentum. - After the collision, both the bullet and the wood move together. 2. **Energy Conservation:** - At the highest point of the swing, all kinetic energy is converted into potential energy.**Approach:**- Use the law of conservation of momentum to relate the initial speed of the bullet to the combined velocity just after impact.- Use the law of conservation of energy to relate the combined velocity to the height swung.This problem provides a practical application of physics principles for understanding projectile motion and collisions.

Solution of 1, 2 & 3 as follows

1) What is the linear momentum of an object with mass 50 kg and speed 15 m/s? 2) A 0.25 kg ball of clay is thrown at a stationary 5 kg block of wood. The clay sticks to the wood and their velocity after is 3 m/s. What was the original velocity of the clay? 3) A 50 kg boy on skates moves with a speed of 5 m/s. He runs into a stationary girl with skates of mass 40 kg. Assuming they stick together, what is their speed after the collision?

1) What is the linear momentum of an object with mass 50 kg and speed 15 m/s? 2) A 0.25 kg ball of clay is thrown at a stationary 5 kg block of wood. The clay sticks to the wood and their velocity after is 3 m/s. What was the original velocity of the clay? 3) A 50 kg boy on skates moves with a speed of 5 m/s. He runs into a stationary girl with skates of mass 40 kg. Assuming they stick together, what is their speed after the collision?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Physics Problem Set**

1) What is the linear momentum of an object with mass 50 kg and speed 15 m/s?

2) A 0.25 kg ball of clay is thrown at a stationary 5 kg block of wood. The clay sticks to the wood, and their velocity after is 3 m/s. What was the original velocity of the clay?

3) A 50 kg boy on skates moves with a speed of 5 m/s. He runs into a stationary girl with skates of mass 40 kg. Assuming they stick together, what is their speed after the collision?

4) A running back with a mass of 80 kg and speed 8 m/s collides with, and is held by, a 120 kg defensive tackle going in the opposite direction. How fast must the tackle be going before the collision for their speed afterward to be zero?

5) An object is pushed along a horizontal surface with a force of 10 N. If the object is moved 15 m, how much work does the pushing force do? How much work does gravity do?

6) As it orbits the Earth, the 11,000 kg Hubble Space Telescope travels at a speed of 7,900 m/s and is 560,000 m above the Earth’s surface. What is its kinetic and potential energy?

7) A child on a swing has a speed of 7.7 m/s at the low point of the arc. What will be the maximum height of the child?

8) If an object is thrown straight up and reaches a height of 20 m, what was the initial speed of the object?

9) An object of 2 kg is moving in a circle of radius 4 m and speed 0.5 m/s. What is the angular momentum of the object?

**Problem Statement:**

1) A bullet of mass 0.01 kg is fired horizontally into a block of wood of mass 2 kg. The wood is hanging on a string initially at rest. When the bullet hits the wood, it gets embedded into the wood. Then they swing upward to a height of 0.1 m. What was the initial speed of the bullet?

**Analysis:**

This problem involves concepts of momentum and energy conservation. Initially, the bullet moves with a certain speed and crashes into a stationary block of wood, becoming embedded in it. The combined system then swings upward, converting kinetic energy into potential energy. We aim to find the initial speed of the bullet.

1. **Momentum Conservation:**
- Before the collision, only the bullet has momentum.
- After the collision, both the bullet and the wood move together.

2. **Energy Conservation:**
- At the highest point of the swing, all kinetic energy is converted into potential energy.

**Approach:**

- Use the law of conservation of momentum to relate the initial speed of the bullet to the combined velocity just after impact.
- Use the law of conservation of energy to relate the combined velocity to the height swung.

This problem provides a practical application of physics principles for understanding projectile motion and collisions.

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