Lenses/Images -- Find final image
Two converging lenses, each having a focal length equal to 8 cm, are separated by 35 cm. An object is 30 cm to the left of the first lens.
(a) Find the position of the final image using both a ray diagram and the thin-lens equation
(c) What is the overall...
Heat/First Law of Thermodynamics/Calorimetry -- Have work done
A calorimeter of negligible mass contains 920 g of water at 303 K and 48 g of ice at 273 K. Find the final temperature T.
°C
Solve the same problem if the mass of ice is 460 g.
°C
Formula Ive used
Mice * Lf + Mice * Cwater *...
The period of an oscillating particle is 56 s, and its amplitude is 18 cm. At t = 0, it is at its equilibrium position. Find the distances traveled during these intervals.
(a) t = 0 to t = 14 s
cm
(b) t = 14 s to t = 28 s
cm
(c) t = 0 to t = 7 s
cm
(d) t = 7 s to t = 14 s
cm
x =...
Water flows at 0.67 m/s through a 3.0 cm diameter hose that terminates in a 0.35 cm diameter nozzle. Assume laminar non-viscous steady-state flow.
(a) At what speed does the water pass through the nozzle?
49.22 m/s
(b) If the pump at one end of the hose and the nozzle at the other end are...
Fluids -- pressure
Blood plasma flows from a bag through a tube into a patient's vein, where the blood pressure is 10 mmHg. The specific gravity of blood plasma at 37°C is 1.03. What is the minimum elevation the bag must have so the plasma flows into the vein?
Prof gave this problem for us...
Gravity -- maximum height
An object is projected upward from the surface of the Earth with an initial speed of 3.7 km/s. Find the maximum height it reaches.
m
Ive used the Energy conservation
Kf + Uf = Ki + Ui
1/2 mvf^2 - G*M_e*m/rf = 1/2 mvi^2 - G*M_e*m/ri
= 0 - G*M_e*m/rf = 1/2 mvi^2 -...
Gravity Problem -- satellite
A satellite with a mass of 250 kg moves in a circular orbit 8.00 x 10^7 m above the Earth's surface.
(a) What is the gravitational force on the satellite?
N
(b) What is the speed of the satellite?
km/s
(c) What is the period of the satellite?
h
Relevant Equations...
An 80cm long pendulum with a .60kg bob is released from rest at an initial angle of Theta with the vertical. At the bottom of the swing, the speed of the bob is 2.8m/s.
a)what is Theta?
b)What angle does the pendulum makes with the vertical when the speed of the bob is 1.4m/s?
Revelant...
A 2.4kg block is dropped onto a spring with a force constant of 3.96*10^3 N/m from a height of 5m. When the block is momentarily at rest, the spring is compressed by 25cm. Find the speed of the block when the compression of the spring is 15cm.
Relevant equations:
External Work = change in...
A force Fx acts on a particle that has a mass of 1.5kg. The force is related to the position x of the particle by the formula Fx = Cx^3, where C = .50 if x is in meters and Fx is in newtons.
a) What are the SI units of C?
b)Find the work done by this force as the particle moves from x=3.0m...
A uniform rod of length L1 = 2.2 m and mass M = 2.8 kg is supported by a hinge at one end and is free to rotate in the vertical plane. The rod is released from rest in the position shown. A particle of mass m is supported by a thin string of length L2 = 1.8 m from the hinge. The particle sticks...
Rotation -- Anuglar speed
A uniform ring 2.2 M in diameter is pivoted at one point on its perimeter so that it is free to rotate about a horizontal axis. Initially, the line joining the support point and center is horizontal.
(a) If the ring is released from rest, what is its maximum angular...
A wheel free to rotate about its axis that is not frictionless is initially at rest. A constant external torque of +40 N·m is applied to the wheel for 24 s, giving the wheel an angular velocity of +610 rev/min. The external torque is then removed, and the wheel comes to rest 120 s later...
A bicycle has wheels of 0.8 m diameter. The bicyclist accelerates from rest with constant acceleration to 22 km/h in 13.7 s. What is the angular acceleration of the wheels?
relevant equations:
omega = omega initial + alpha * t
22km/h = 6.11m/s
I did 6.11m/s * 13.7s = 83.7207 to get the...
When a turntable rotating at 33 1/3 rev/min is shut off, it comes to rest in 26 s. Assume constant angular acceleration.
(a) Find the angular acceleration.
rad/s2
(b) Find the average angular velocity of the turntable.
rad/s
(c) Find the number of revolutions it makes before stopping...
A bullet of mass m is fired vertically from below into a thin horizontal sheet of plywood of mass M that is initially at rest, supported by a thin sheet of paper. The bullet punches through the plywood, which rises to a height H, above the paper before falling back down. The bullet continues...
A 60g handball moving with a speed of 5m/s strikes the wall at a 40 degree angle with the norm, and then it bounces off with the same speed at the same angle with the norm. It is in contact with the for 2.0ms.
a)What is the average force exerted by the ball on the wall?
b)The rebounding...
A block of mass m1 = 1.0 kg slides along a frictionless table with a velocity of +10 m/s. Directly in front of it, and moving with a velocity of +3.0 m/s, is a block of mass m2 = 9.0 kg. A massless spring with spring constant k = 1120 N/m is attached to the second block as in the figure below...
A 3.0kg slides along a horizontal surface with a speed of 7.0m/s.
After sliding a distance of 2.0m, the block makes a transition to a ramp inclined at an angle of 40 degrees to the horizontal. The coefficient of kinetic friction between the block and the surfaces is .30.
Find
a) the speed...
A pendulum consists of a 2.0kg bob attached to a light 3.0m long string. While hanging at rest with the string vertical, the bob is struck a sharp horizontal blow, giving it a horizontal velocity of 4.5m/s. At the instant the spring makes an angle of 30degrees with the vertical.
What is:
a)...
A stone is thrown upward at an angle of 53 degrees above the horizontal. Its maximum height above the release point is 24m. What was the stone's initial speed?
Assume any effects of air resistance are negligible.
This problem is to be solved using Conservation of Energy.
Since there is...
Bored, a boy shoots his pellet gun at a piece of cheese that sits, keeping cool for dinner guests, on a massive block of ice. On one particular shot, his 1.1 g pellet gets stuck in the cheese, causing it to slide 25 cm before coming to a stop. If the muzzle velocity of the gun is 76 m/s and the...
Homework Statement
a) What is the work done by the force from x = 0 to x = 2 m?
Homework Equations
Work = Integral of Force Dx
The Attempt at a Solution
I was told since the equation for Force is not given, my best bet is to count the boxes under the curve from x=0 to x=2. I...
A single roller-coaster car is moving with speed v0 on the first section of track when it descends a 4.1-m-deep valley, then climbs to the top of a hill that is 4.6 m above the first section of track. Assume any effects of friction or of air resistance are negligible.
(a) What is the minimum...
In a volcanic eruption, a 2.0 kg piece of porous volcanic rock is thrown vertically upward with an initial speed of 45 m/s. It travels upward a distance of 45 m before it begins to fall back to the Earth.
(a) What is the initial kinetic energy of the rock?
(b) What is the increase in thermal...
A 8 kg block slides down a frictionless incline making an angle of 70° with the horizontal.
(a) What is the total work done on the block when the block slides 2 m (measured along the incline)?
(b) What is the speed of the block after it has slid 1.5 m if it starts from rest?
m/s
(c) What...
A rock is thrown from the top of a 26 m building at an angle of 51° above the horizontal.
(a) If the horizontal range of the throw is equal to the height of the building, with what speed was the rock thrown?
(b) How long is it in the air?
(c) What is the velocity of the rock just before...
1.Here is the diagram of the problem.
Two blocks attached by a string (see figure) slide down a 16° incline. Block 1 has mass m1 = 0.79 kg and block 2 has mass m2 = 0.27 kg. In addition, the kinetic coefficients of friction between the blocks and the incline are 0.30 for block 1 and 0.20...
A constant force Fx = 6N is in the +x direction.
A) Find the potential energy function U(x) associated with this force if U(Xo) = 0.
B) find a function U(x) such that U(4.0m) = 0
C) Find a function U(x) such that U(6.0) = 14J
I know that if PE is known then the F can be found by the...
A 2.0kg box slides down a long, frictionless incline of angle 30 degrees. It starts from rest at time t = 0 at the top of the incline at height of 20m above ground.
A) What is the potential Energy of the box relative to the ground at t = 0?
U = MGH where y0 is at the bottom of the incline...