A fan exerts a force of 10 N on a frictionless cart of mass 250 g, accelerating the cart from rest over a distance of 0.5 m. The same fan is then used to accelerate a 500 g cart from rest over the same distance. Select ALL statements below that are TRUE about this situation:

A) The energy transferred to both carts is different.

B) The work done by the fan in both cases is the same.

C) The final kinetic energy of both carts is the same.

D) The final velocity of both carts is different.

An ideal spring is in equilibrium, hanging from a ceiling with a 1 kg mass at the end. At rest, the length of the hanging spring is 10 cm. Then, an additional 5 kg block is added to the spring, causing its length at rest to increase to 13 cm. The 5 kg block is then removed. Starting from rest, when the 5 kg block is removed, the spring begins to oscillate.

What will the spring’s velocity be, the third time it returns to a length of 13 cm? Express your answer in units of m/s, but enter only the numeric answer.

Derive the formula :, where L is distance, m is mass, z is charge, V is potential

The voltage amplitude of an ac source is 28.0V , and its angular frequency is 1100rad/s . Find the current amplitude if the capacitance of a capacitor connected across the source is

A) 1.00

Three equal charges of magnitude q=286.3 micro C, but of the same sign, are located at the corners of an equilateral triangle. The charge Q that must be placed at the geometric center of the triangle of opposite sign so that the resultant force on each corner charge is zero is ___ micro C.

a) Explain that in a one-dimensional system, although a system with an even number of electrons per primitive unit cell is insulator, this does not apply to three-dimensional systems.
b) How the electron state density behaves around the maximum of the valance band and the minimum of the conductivity band of a semiconductor or insulator.
c) Explain why a fully charged band does not contribute to electrical conductivity when an electric field is applied.
d) How does the Bloch wave vector change over time when an external electric field is applied in the effective mass approach?
e) Show that the state density for free electron gas is not dependent on energy in two dimensions. How to relate to energy in one and three dimensions.

Solve the quantum harmonic oscillator problem by using the matrix method.

Two planes which are doubly inclined at angles ∝ ???? to the horizontal meet in a ridge.
Particles of masses 4?? ??? 3?? rest one on each plane respectively and are connected
by a light inextensible string which passes over q smooth pulley on the ridge. Find the
tension and acceleration of the system if; (a.) both planes are smooth (b.) the coefficient of
friction at each contact is 1 /√3

At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders "plastered" against the wall. Suppose the radius of the room is 4.24 m and the speed of the wall is 16.2 m/s when the floor falls away. The source of the centripetal force on the riders is the normal force provided by the wall. (a) How much centripetal force acts on a 53.0 kg rider? (b) What is the minimum coefficient of static friction that must exist between the rider's back and the wall, if the rider is to remain in place when the floor drops away?

An object of mass m=4.00 kg is acted on by a 2-D force of the form: F=C(x^2y^2,xy^3), where the coordinates are given in meters and the constant C=62.4 N/m^4.

a.) calculate the work that F does on an object if it moves from the origin to the point (2,2) along a straight line path (the shortest possible path).

b.) calculate the work that F does on the object if it moves between the two same points, but along a different path given by the curve y=x^2/2

c.) Is there a potential energy that can be associated with this force? If so, find the potential energy function U(x,y).

d.) Assume F is the only force that does work on the object. Calculate the minimum initial speed required for the object to reach the final point, along the path from part b.

What are (a) the x component, (b) the y component, and (c) the z component of r Overscript right-arrow EndScripts equals a Overscript right-arrow EndScripts minus b Overscript right-arrow EndScripts plus c Overscript right-arrow EndScripts if a Overscript right-arrow EndScripts equals 5.4 i Overscript ̂ EndScripts plus 1.9 j Overscript ̂ EndScripts minus 3.6 k Overscript ̂ EndScripts , b Overscript right-arrow EndScripts equals negative 4.1 i Overscript ̂ EndScripts plus 5.4 j Overscript ̂ EndScripts plus 3.7 k Overscript ̂ EndScripts , and c Overscript right-arrow EndScripts equals 7.1 i Overscript ̂ EndScripts plus 3.3 j Overscript ̂ EndScripts plus 5.0 k Overscript ̂ EndScripts . (d) Calculate the angle between r Overscript right-arrow EndScripts and the positive z axis. (e) What is the component of a Overscript right-arrow EndScripts along the direction of b Overscript right-arrow EndScripts ? (f) What is the magnitude of the component of a Overscript right-arrow EndScripts perpendicular to the direction of b Overscript right-arrow EndScripts but in the plane of a Overscript right-arrow EndScripts and b Overscript right-arrow EndScripts?

(Astronomy) Question 7 a. Mars has no Plate Tectonics today. Does it have volcanic island chains? What is the tallest volcano on Mars, and what is its name? How does it compare with the tallest one (give the name) on Earth? Many of the Earth's largest telescopes are on this volcano: https://www.ifa.hawaii.edu/mko/ b. Describe the crazy looking pancake volcanoes on Venus.

I have the answers listed I just want to know if someone could show me the work step by step!

Q1. A ball of mass 60 g is dropped from a height of 3.4 m. It lands on the top of a frictionless ramp at height 1.8 m. The ramp is tilted at an angle of 20 degrees.

(a) What is the velocity of the ball at the top of the ramp? Answer: 5.6 m/s

(b) At the bottom of the ramp it collides with and sticks to a ball of mass 73 g. What is their velocity after the collision? Answer: 3.68 m/s

(c) The stuck together balls collide with a spring of spring constant 300 N/m. How much will they compress it? Answer: 0.077m

(d) They then go back up the ramp. How high will they go? Answer: 0.7 m