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Newton's Law (Author: adv_sci_tutor)


Newton's First Law

Question 1

In the classic 1950 science fiction film Rocket ship X-M, a spaceship is moving in the vacuum of outer space, far from any planet, when its engine dies. As a result, the spaceship slows, eventually coming to a stop. Explain whether this concept is correct, based on Newton's First Law of Motion.

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Newton's Second Law

Question 2

A waitress shoves a ketchup bottle with mass 0.45 kg towards the right along a smooth level surface. As the bottle leaves her hand it has an initial velocity of 2.8 m/s. As it slides, it slows down because of the constant horizontal friction force exerted on it by the counter top. It slides a distance of 1.0 m before coming to rest. What are the magnitude and direction of the friction forces acting on it?

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Question 3

A stone mason attaches a rope to a block, and then pulls the rope. The block moves. However from Newton's Third Law we know that when the mason pulls the rope the rope pulls the mason with an equal force. The rope (being pulled) then pulls on the block, but the block then pulls on the rope. If the block moves to the right, due to the force applied to it by the rope, why does the mason remain stationary, even though there is a force applied to him by the rope as well?

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Question 4

Explain that a change in gravitational potential energy is related to work done

Question in notes

Define gravitational potential energy as the work done to move an object from a very large distance away to a point in a gravitational field


Question in notes

Describe the trajectory of an object undergoing projectile motion within the Earth's gravitational field in terms of horizontal and vertical components

Question (on parabolic motion)

A motorcycle stunt rider rides off the edge of a cliff. Just at the edge his velocity is horizontal, with magnitude 9.0 m/s. Find the motorcycle's position, distance from the edge of cliff, and velocity after 0.50 s.

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Question 5

You toss a ball from your window 8.0 m above the ground. When the ball leaves your hand it is moving at 10.0 m/s at an angle of 20° to the horizontal. Calculate how far horizontally from the window will the ball travel before it hits the ground.

Question 6

Explain the concept of escape velocity in terms of:
  • Gravitational constant
  • Mass and radius of the planet
Discuss the effect of the Earth's orbital motion and its rotational motion on the launch of a rocket.

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Question 7 - 2003 HSC exam question

A satellite of mass 150 Kg is launched from Earth's surface into a uniform circular orbit of radius 7.5 x 106 m.

a) Calculate the magnitude of the gravitational potential energy of the satellite
b) From this uniform circular orbit, the satellite can escape the Earth's gravitational field when its kinetic energy is equal to the magnitude of the gravitational potential energy.
Use this relationship to calculate the escape velocity of the satellite.
c) Discuss the effect of Earth's rotational motion on the launch of this satellite.

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Question 8

Define the term orbital velocity and the quantitative and qualitative relationship between orbital velocity, the gravitational constant, mass of the central body, mass of the satellite and the radius of the orbit using Kepler's Law of Periods

In July 1969 the Apollo 11 command module with Michael Collins on board orbited the moon waiting for the Ascent Module to return from the Moon's surface. The mass of the command module was 9.98 x 103 kg, its period was 119 minutes, and the radius of its orbit from the Moon's centre was 1.85 x 106 m.

a) Assuming the Command Module was in circular orbit, calculate
  1. The mass of the moon
  2. The magnitude of the orbital velocity of the Command Module

b) The docking of the Ascent Module with the Command Module resulted in an increase in mass of the orbiting spacecraft. The spacecraft remained at the same altitude.
This docking procedure made no difference to the orbital speed. Justify this statement.

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