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# Gravity

### Determining density and specific gravity of the oil

A liter of corn oil has a mass of 0.925 kg. What is the density and the specific gravity of the oil?

### Motion under Gravity of Falling Object

A carpenter drops a hammer off the roof of a house. If the hammer falls a distance of 6.46 meters, what is the speed just before striking the ground? Neglect air friction. I believe the answer is 11.3 m/s. I need to see each step and formula to solve this question.

### Algebra Basics, Equations, and Mathematical Models

Background Information: A simple pendulum, such as a rock hanging from a piece of string or the inside of a grandfather clock, consists of a mass (the rock) and a support (the piece of string). When the mass is moved a small distance away from its equilibrium point (the bottom of the arc), the mass will swing back and forth in

### Newton's law of gravitation..

The planet Uranus has a radius of 25,560 km and a surface acceleration due to gravity of 11.1 m/s^2 at its poles. Its moon Miranda (discovered by Kuiper in 1948) is in a circular orbit about Uranus at an altitude of 104,000 km above the planet's surface. Miranda has a mass of 6.6 x 10^19 kg and a radius of 235 km. 1) Calculat

### Waves - What is the value of g, the acceleration due to gravity, on Planet X?

Astronauts visiting Planet X have a 2.40 m-long string whose mass is 5.50 g. They tie the string to a support, stretch it horizontally over a pulley 1.60 m away, and hang a 1.80 kg mass on the free end. Then the astronauts begin to excite standing waves on the string. Their data show that standing waves exist at frequencies of 6

### Spring constant: Ore Car Rolls Down a Frictionless Incline

A 2000 kg ore car rolls 50.0 m down a frictionless 10.0 degree incline. If there is a horizontal spring at the end of the incline, what spring constant is required to stop the ore car in a distance of 1.00m?

### Rocket Propulsion

A single-stage rocket is fired from rest from a deep-space platform, where gravity is negligible. If the rocket burns its fuel in a time of 50.0 s and the relative speed of the exhaust gas is 2100 m/s, what must the mass ratio mo/m be for a final speed v of 8.00 km/s (about equal to the orbital speed of an earth satellite)?

### Free Fall

Determined to test the law of gravity for himself, a student walks off a skyscraper 180 m high, stopwatch in hand, and starts his free fall (zero initial velocity). Five seconds later, Superman arrives at the scene and dives off the roof to save the student. 1) Superman leaves the roof with an initial speed Vo that he produce

### Gravity, Gravitational Force, Gravity of Planets in the Solar System and Period of a Pendulum

Background Information: A simple pendulum, such as a rock hanging from a piece of string or the inside of a grandfather clock, consists of a mass (the rock) and a support (the piece of string). When the mass is moved a small distance away from its equilibrium point (the bottom of the arc), the mass will swing back and forth

### Knowledge of Molecular Speeds and of Gravity

Consider the atmosphere of the earth; and the moon. Using your knowledge of molecular speeds and of gravity, find the following and comment about your results, etc.. Calculate the escape velocity of a mass at the surface of the earth. The T of the earth's upper atmosphere is actually pretty high; say 1000 K. Find the probability

### Circular Motion with Centripetal Acceleration

I need some help with circular motion physics questions: 1. Young David who slew Goliath experimented with slings before tackling the giant. He found that with a sling of length .598 m, he could develop a rotation rate of 8.04 rev/s in his weapon. If he increased the length to .892 m, he could revolve the sling only 5.99 time

### Simple harmonic motion: Acceleration due to gravity

What is the free fall acceleration in a location where the period of a 2.15 m long pendulum is 2.94s? Answer in units of m/s2. The answer must be written within + or - 0.14%

### Motion Under Gravity Vertically Thrown

1) A tennis ball is thrown vertically downward from a height of 54 feet with an initial velocity of 8 feet/second. What is its impact if it hits a six foot tall man on the head?(a(t)=-32) 2) A projectile is shot vertically upward from ground level with an initial velocity of 49 meters per second. Use a(t)=-9.8 m/sec^2 A)

### Motion under Gravity

A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 3.33 s later. How high is the cliff?

### Potential Energy of Configurations

If m1 = 3.12 kg, m2 = 2.74 kg, and m3 = 2.5 kg, to the nearest hundredth of a nJ what is the potential energy of the configuration? (See attached file for full problem description)

### Rotating Space Stations

Rotating Space Stations. One problem for human living in outer space is that they are apparently weightless. One way around this problem is to design a space station that spins about its center at a constant rate. This creates "artificial gravity" at the outside of the station. A) If the diameter of the space station is 8

### Three objects are positioned along the x axis as follows

Three objects are positioned along the x axis as follows: 4.4 kg at x = +1.1m, 3.7 kg at x = -0.80m, and 2.9 kg at x = -1.6 m. The acceleration due to gravity is the same everywhere. What is the distance from location of the center of gravity to the location of the center of mass for this system A ceiling fan has five blades

### Time for rocket to maximum speed, speed of rocket

See attached file for full problem description with units and diagram. Far in space, where gravity is negligible, a 475 rocket traveling at 95.0 fires its engines. The figure shows the thrust force as a function of time. The mass lost by the rocket during these 30 s is negligible. a.) What impulse does the engine

### box tend to rotate about the center of gravity

BLOCK WITH A FORCE THERE IS A BLOCK OF SIDE X METRES RESTING ON A FRICTIONLESS SURFACE A FORCE F IS APPLIED AT THE LEFT TOP OF THE BOX(TAKE THE DIRECTION OF FORCE IS FROM LEFT TO RIGHT) HORIZONTALLY NOTE: THE FORCE IS NOT AT THE CENTRE OF GRAVITY. PROVE THAT THE BOX TENDS TO ROTATE ABOUT THE CENTRE OF GRA

### Velocity/basic/1/2

When scientists are trying to understand a particular set of phenomena, they often make use of, in a scientific sense, a kind of analogy or mental image of the phenomena in terms of something we are familiar with called: (a) model (b) theory (c) law (d) principle Usually a model is relatively simple and provides a stru

### Galileo and Gravity Experiment

Describe what Galileo did in terms of the scientific method with his gravity experiment? What question did he ask of the universe? What test did he use to obtain an answer? What did he observe and how did he interpret his observations?

### Find the tension on the string while the system is accelerating.

Q1) Block A of mass m1 on a smooth frictionless surface being pulled to the right by the force of gravity on block B with mass m2 by means of the attached string (as shown in the attached image). Assume no friction anywhere in the system. Assuming all units are mks, the force exerted by the gravity that is effective in moving b

### Galileo dropped objects from the Tower of Pisa to study gravity

1. Galileo dropped objects from the Tower of Pisa to study gravity. The objects height above the ground could be measured using h=-4.9t^2 +56. a) How high is the Tower? 56 units b) How far has an object fallen after 2 seconds? h = -4.9^2 + 56 h = -4.9(2)^2 +56 h = -19.6 +56 h= 36.4 units c) How long will it take

### How much force is exerted by pressure against the door?

A rectangular door with dimensions 5 m by 9.1 m is submerged at a depth of 3 meters in water. How much force is exerted by pressure against the door?

### Acceleration of gravity at the location of the pendulum

A simple pendulum of length 2.5 m makes 5.0 complete swings in 16 s. What is the acceleration of gravity at the location of the pendulum?

### Acceleration of gravity for a ball thrown upward and downward

Assume that the acceleration of gravity is 10 m/s2 downward, and that all friction effects can be neglected. A ball is thrown upward at a velocity of 20 m/s. What is its velocity at t = 2 s? zero a. 10 m/s upward b. 10 m/s downward c. 20 m/s d

### Radius and centre of gravity of skull

What is the radius of the skull if the skull has dimensions 200*200*200, and where will its centre of gravity be?

### How to calculate the gravitational accelarations of a planet?

GM/r2 If my planet is 6052 km and my planets mass is 4.87e24 kg how do I calculate the gavitational acceleration of the planet?

### Comparing Velocity of Objects Based on Mass; Pendulum

Can anyone please show me how to get started on the attached lab questions? Thanks! Part 2 (also attached) Equipment: A length of string, a compact object which can be tied to the string like a metal washer, a tack, a stopwatch or clock, and a meter or yard stick. Procedure: I. Tie your object to the string and ti

### Mass, Acceleration and Gravity

A plane is 45 degrees to the horizontal with a stationary mass on it. The mass is 12 kg and the acceleration of gravity is 9.8 m/s^2. What is the magnitude of the force of friction required to keep the mass from moving? Answer with the number of Newtons using digits.