ROLLER COASTER DESIGN Designing a roler coaster is very tricky. Patrons of theme and amusement parks want to be thrilled , but generally do not want to be injured. Downard accelerations of greater than 10 g cause bodily harm. Negative (i.e upward) accelerations of greater than about 5 g also cause damage ( "red out") The
80. To go to a football stadium from your house, you first drive 1000 m north, then 500 m west, and finally 1500 m south. (a) Relative to your home, the football stadium is (1) north of west, (2) south of east, (3) north of east, or (4) south of west. (b) What is the straight-line distance from your house to the stadium? 8
The questions refer to the roller coaster in the diagram (attached). The mass of the roller coaster, including passengers = 500 kg. Assume that friction and drag forces are so small they can be ignored. 1. Measured from "ground level," what is the gravitational potential energy of the roller coaster at the top of the first hi
Please give complete solutions. Thanks! A spring-loaded dart gun shoots a dart with a mass of 150 grams. The spring constant of the dart gun is 4000 N/m, and when the dart is placed in the gun, the spring is compressed 15 cm (See attachment for the rest).
1. The kinetic energy of a car moving at 30km/h is 2MJ. When the car is moving at 90km/h, what is the kinetic energy? 2. A brick falls off a ledge 30 meters above the ground. An identical brick falls off another ledge 60 meters high. What can you say about the kinetic energies of the bricks, if you compare their kinetic energ
1>What is the electric potential at a point 0.45 m away from a point charge of a of 2.5mC 2> If 3.75 X 10^-4 J of work are required to move 13.7 microc of charge from one point to another, what is the electric potentail difference the two points. 3> An electron is released from rest in a vacumm between two flat, parallel
1) Grains of fine beach sand are assumed to be spheres of radius 57.5 micro meters. These grains are made of silicon dioxide which has a density of 2600kg/m^3. What is the mass of each grain of sand and answer in kg. Got answer of 2.1 * 10^-9 kg from previous work, but wrong answer. Please step by step help work this o
Hi. Can someone please check these two answers? (a) seems very low and (b) seems very high to me. A 0.22 micro-F capacitor is charged by a 1.5-V battery. After being charged, the capacitor is connected to a small electric motor. Assuming 100% efficiency, (a) to what height can the motor lift a 5.0-g mass? (b) What initial vol
A patient is to receive an intravenous injection of medication. In order to work properly, the pressure of fluid containing the medication must be 109 kPa at the injection point. (a) If the fluid has a density of 1020 kg/m^3, find the height at which the bag of fluid must be suspended above the patient. Assume that the pressure
Gravitational Potential Energy of a two body system gained from a loss of projectile's kinetic energy.
A projectile is given a vertical upward velocity Vo = 10000 m/sec at Earth's surface. Neglect air friction. Find the maximum distance it will achieve above the surface of Earth. Do not consider g to be constant.
A ski lift raises 100 passengers averaging 80 kg in mass to a height of 150 m in 60 seconds. What average power does it output during the 60 seconds?
Question: When baseball players throw the ball in from the outfield, they usually allow it to take one bounce before it reaches the infield, on the theory that the ball arrives sooner that way. Suppose that the angle at which a bounced ball leaves the ground is the same as the angle at which the outfielder threw it, but that the
1. During a rockslide, a 520 kg rock slides from rest down a hillside that is 500m long and 300m high. The coefficient of kinetic friction between the rock and the hill surface is 0.25 (a) If the gravitational potential energy U of the rock-Earth system is zero at the bottom of the hill, what is the value of U just before the
A skier coasts down a very smooth, 10-m-high slope (v =20 m/s), what is his speed at the bottom of the slope. If the skier has a mass of 60kg and the force of friction retards his motion by doing 2500 j of work, what is his speed at the bottom of the slope?
A 230 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.5 N/cm (Fig. 7-30). The block becomes attached to the spring and compresses the spring 14 cm before momentarily stopping. What work is done on the block by the spring force while the spring is being compressed? (in J) What is the s
1. The tension at which a fishing line snaps is commonly called the line's "strength." What minimum strength is needed for a line that is to stop a salmon of weight 85 N in 8.0 cm if the fish is initially drifting at 2.5 m/s? Assume a constant deceleration.
Ans. 14.1 .265 m/ sec. Ans. 14.31 5320 joules. Please see the attachments.
Two conducting wires each of length L are connected to a knob, whereby a total electric charge Q is deposited onto two small spherical metallic spheres, each of mass m and diameter d, at the end of the wires. We observe each wire of this electroscope to lie at an angle q from the vertical. Find an expression for the charge Q
A flowmeter (not doppler) is the topic. Upon what basic principle does it operate? Would such a device work for an ion free fluid?
Find the height at which the bag of fluid must be suspended above the patient for the IV to work properly
I need a mathematical explanation of part a in question 25 of the attached jpeg file. Find the height at which the bag of fluid must be suspended above the patient for the IV to work properly
A 63 kg skier coasts up a snow-covered hill that makes an angle of 25 degrees with the horizontal. The initial speed of the skier is 6.6 m/s. After coasting a distance of 1.9 m up the slope, the speed of the skier is 4.4 m/s. (a) Find the work done by the kinetic frictional force that acts on the skis. (b) What is the magni
A car can accelerate from rest to 25 m/sec in 12 seconds on a level road. The weight of the car is 10,000 newtons. Determine (a) power used in the acceleration in Kw. (b) Maximum speeed it will be able to maintain on an uphill road of angle 30 degrees. (c) Work done by the force during the first 5 seconds from start. (d) avera
See the attached file for the formulas. Determine an appropriate step size h by assuming that an h that works as expected for simple harmonic motion is good enough for the given initial angle. In particular, if the position at the end of one period is within 0.1% of the original point, we'll be satisfied.
Find the unitary transformation which transforms into a diagonal matrix and verify that the diagonal elements are 0 , 3, and 3
Mars has a mass of about 6.4 x 10^23 kg, and its moon Phobos has a mass of about 9.6 x 10^15 kg. If the magnitude of the gravitational force between the two bodies is 4.6 x 10^15 N, how far apart are Mars and Phobos? Please show the work, answer and the formulas you used. Thanks!
"A 276 kg piano slides 4.02 m down a 30.2° incline and is kept from accelerating by a man who is pushing back on it parallel to the incline, as seen in the figure (attached in a Word file). The effective coefficient of kinetic friction is 0.400. Calculate the work done by the man on the piano." See attached file for full pro
On a frozen pond, a 10.6 kg sled is given a kick that imparts to it an initial speed of V(0) = 1.73 m/s. The coefficient of kinetic friction between the sled and the ice is mu(k) = 0.102. Use the work-kinetic energy theorem to find the distance the sled moves before coming to rest.
See attached diagram. Q. A block of mass 60 Kg has an initial momentum of 100kg.m/sec travelling from A to B on a surface of coefficient of friction of 0.4. A force F is applied to stop the block. It took the force 4 seconds to bring the block to rest at point B. 1. What is the value of force F if the angle of top theta
Q1. A stone of mass 80 grams is released from rest at the top of a vertical cliff. After falling for 3 seconds, it reaches the ground and penetrates 9 cm into the ground. Calculate: 1. the height of the cliff 2. the average force resisting the penetration (assume gravitational acceleration g=10m/sec2)
Clarify: uniform Circular Motion Potential Energry Work Kinetic Energy Conservation of Engery Work by External Forces Newtons Laws 1,2,3 I need your help on what are the main things i would need to know from those areas in-order to solve relating problems