A 90kg person is sitting at sea level on Earth. Assume the earth is uniformly dense...
- A 90kg person is sitting at sea level on Earth. Assume the earth is uniformly dense and spherical.
- Using the mass and radius of the earth, calculate the force of gravity acting on them using Newton’s Law of Universal Gravitation.
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A 90kg person is sitting at sea level on Earth. Assume the
earth is uniformly dense...
1. Find the g for the Earth using the Law of Universal Gravitation and data regarding...
1. Find the g for the Earth using the Law of Universal Gravitation and data regarding the earth at sea level (see Week 10 – Law of Universal gravitation and look up data online). Show your work. Using your mass, find the force that you feel on earth. 2. Find g for Mars in the same manner. Find your force on Mars. 3. Find g for Jupiter in the same manner. . Find your force on moon. 4. Find g...
Suppose there is a planet whose diameter is half that of the Earth and whose mass...
Suppose there is a planet whose diameter is half that of the Earth and whose mass is twice that of the Earth. What is the weight of a 100 kg person on this planet? Hint: Using Newton’s law of Universal Gravitation, obtain an expression for the acceleration due to gravity (~gplanet) on the surface of this planet. I understand that the answer is (8)(9.8)(100) but where did the 8 come from?
A satellite is orbiting the Earth at a distance of 50’000 km above sea level. (a)...
A satellite is orbiting the Earth at a distance of 50’000 km above sea level. (a) What is the gravitational acceleration at this altitude? (15 pts) (b) What is the speed of the satellite along its circular orbit? (5 pts) Earth’s radius: RE = 6370 km Earth’s mass: ME = 5.973 × 1024 kg Universal Gravitational constant: G = 6.674 × 10−11 m3kg−1 s −2
Problems: 1. An alpha particle consists of two protons and two neutrons with a mass of...
Problems: 1. An alpha particle consists of two protons and two neutrons with a mass of 6.64 x 1027 kg and charge 3.2 x 10-19 C. If two of them are separated by a distance R, using Coulomb's Law and the Universal Law of Gravitation, calculate the ratio of the electric force to the gravitational force acting on each. Do you think this is a surprising number?
The QUESTIONS 1,2, and the PREDICTION Complete the calculations with the radius of the Earth (6.37x10^6)...
The QUESTIONS 1,2, and the PREDICTION
Complete the calculations with the radius of the Earth
(6.37x10^6)
THE QUESTIONS: (1) Using a pendulum, find the mass of the Earth. 2)At what angle does the equation for the period of a pendulum stop working? Equipment and Set-up 1. Set of hooked masses 3. String 5. Protractor 2. Stopwatch 4. Support rod and clamps 6. Meter stick Prediction What do you expect the values of acceleration due to gravity and the mass of...
2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density...
2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density ρ--M/V is therefore constant.) a) Find the force of gravity exerted on a point mass m located inside the earth, as a function of its distance from the earth's centre. (You may make use of results derived in class for a thin spherical shell.) b) Find the difference in the gravitational potential energy of the mass, between the centre of the earth and the...
1. The cantilever beam AB of length L shown in Fig.(a carries a uniformly distributed load of int...
1. The cantilever beam AB of length L shown in Fig.(a carries a uniformly distributed load of intensity wo, which includes the weight of the beam. Equation of the elastic curve is given by the following differential equation Af _irer where M is the bending moment of the beam. it is also given that of the beam and I modulus of Inertia. where E- Modulus of the elasticity v is the deflection of the beam. Compute the maximum displacement of...
The earth (of radius of 6371km) rotates on itself at a rate of one revolution every 24 hours and is titled by an angle of 23.5°. Let's assume that the earth is a perfect sphere, which allows us t...
The earth (of radius of 6371km) rotates on itself at a rate of one revolution every 24 hours and is titled by an angle of 23.5°. Let's assume that the earth is a perfect sphere, which allows us to consider a uniform circular motion 23.5 R equator Figure 1: Earth rotation Everybody on earth share the same time of rotation, but based on their location on the earth, they wil have different velocities. A person located in Hawaii, at an...
Newton’s Cannon Imagine you fired a cannonball such that the range of that ball was slightly...
Newton’s Cannon Imagine you fired a cannonball such that the range of that ball was slightly longer than the radius of the Earth. As that ball fell back down, it would miss the ground and continue to fall. If we can ignore any air resistance or collisions with other objects, then we can say the ball would continue to fall forever, just missing the ground, and thus be in orbit. Assume all orbits here are perfectly circular and pretend that...
Learning Goal: To understand Newton's law of gravitation and the distinction between inertial and gravitational masses....
Learning Goal: To understand Newton's law of gravitation and the distinction between inertial and gravitational masses. In this problem, you will practice using Newton's law of gravitation. According to that law, the magnitude of the gravitational force Fg between two small particles of masses m1 and m2 separated by a distance r, is given by m1m2 T2 where G is the universal gravitational constant, whose numerical value (in SI units) is 6.67 x 10-11 Nm2 kg2 This formula applies not...
Problems: 1. An alpha particle consists of two protons and two neutrons with a mass of 6.64 x 1027 kg and charge 3.2 x 10-19 C. If two of them are separated by a distance R, using Coulomb's Law and the Universal Law of Gravitation, calculate the ratio of the electric force to the gravitational force acting on each. Do you think this is a surprising number?
The QUESTIONS 1,2, and the PREDICTION
Complete the calculations with the radius of the Earth
(6.37x10^6)
THE QUESTIONS: (1) Using a pendulum, find the mass of the Earth. 2)At what angle does the equation for the period of a pendulum stop working? Equipment and Set-up 1. Set of hooked masses 3. String 5. Protractor 2. Stopwatch 4. Support rod and clamps 6. Meter stick Prediction What do you expect the values of acceleration due to gravity and the mass of...
2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density ρ--M/V is therefore constant.) a) Find the force of gravity exerted on a point mass m located inside the earth, as a function of its distance from the earth's centre. (You may make use of results derived in class for a thin spherical shell.) b) Find the difference in the gravitational potential energy of the mass, between the centre of the earth and the...
1. The cantilever beam AB of length L shown in Fig.(a carries a uniformly distributed load of intensity wo, which includes the weight of the beam. Equation of the elastic curve is given by the following differential equation Af _irer where M is the bending moment of the beam. it is also given that of the beam and I modulus of Inertia. where E- Modulus of the elasticity v is the deflection of the beam. Compute the maximum displacement of...
The earth (of radius of 6371km) rotates on itself at a rate of one revolution every 24 hours and is titled by an angle of 23.5°. Let's assume that the earth is a perfect sphere, which allows us to consider a uniform circular motion 23.5 R equator Figure 1: Earth rotation Everybody on earth share the same time of rotation, but based on their location on the earth, they wil have different velocities. A person located in Hawaii, at an...
Learning Goal: To understand Newton's law of gravitation and the distinction between inertial and gravitational masses. In this problem, you will practice using Newton's law of gravitation. According to that law, the magnitude of the gravitational force Fg between two small particles of masses m1 and m2 separated by a distance r, is given by m1m2 T2 where G is the universal gravitational constant, whose numerical value (in SI units) is 6.67 x 10-11 Nm2 kg2 This formula applies not...
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