Kinematics and dynamics
A car accelerates uniformly from rest at 3.0 m/s². How fast is it moving after 6.0 seconds?
18m/s
starting from rest, A student pushes a 5kg block with 5N of force for 5 meters. What is the final velocity. Friction force is negligible
√10, 3.16 m/s
A small-amplitude simple pendulum has period T=2.000 s Using g=9.80 m/s^2, find the pendulum length L.
L=0.993m
A planet in orbit moves faster at perihelion than aphelion. This law explains why its angular momentum stays constant but its speed does not.
Conservation of angular momentum.
This thermodynamic quantity must be negative for a reaction to be product-favored at all temperatures.
Gibbs free energy (ΔG)
A 700N man is standing in an elevator and is decelerating at 4m/s^2, what is the normal force acting on the man-earth system. Positive is in the upwards direction.
414N
An object at rest violently explodes into 305 different pieces. What is the momentum of the center of mass?
0 m/s
This property of a wave stays constant when moving from one medium to another.
Frequency
Describe the relationship between mass of an object and the strength of the gravitational field acting on that object.
There is no relationship
A reaction is first-order in A and second-order in B. If [A] is doubled and [B] is halved, the rate changes by this factor.
rate is halved
An object is tossed off a 5 m Eric Hamber Secondary School with an initial velocity of 10m/s 30 deg above the horizontal. How far does it travel before it hits the ground?
14.2m
A block compresses a spring and comes to rest. At maximum compression, this quantity is zero even if the spring force is large.
Velocity / kinetic energy.
decreasing length of a pendulum while simultaneously increasing the mass with cause the period to ______
decrease
A satellite weighing 100kg in a circular orbit of radius r1=7.00×10^6m above the surface of the earth is moved to a larger circular orbit of radius r2=1.20×10^7 m Compute the change in mechanical energy.
1.2x10^9 J
You prepare a buffer by mixing 0.20 mol NH₃ and 0.10 mol NH₄Cl in 1.0 L. Kb(NH₃) = 1.8×10⁻⁵. What is the pH?
pH = 9.56.
A particle has time-dependent acceleration a(t)=4.0−2.0t. If v(0)=3.0 m/s and x(0)=0, find x(5.0) in meters.
x(5.0)=23.3333 m
Compute the work done by the variable force F(x)=(2x^2−3x+1) as an object moves from x=0 to x=2 meters.
1.33 J
A simple pendulum oscillates with the period T, what is the period in terms of T if you were to move the pendulum on a planet with twice the mass and half the radius of earth.
An orbiting satellite has velocity v, what is the velocity in terms of v of the same satellite orbiting a planet with 67 times the mass and 67 times the radius.
v
galvanic cell is constructed from the following half-reactions:
Zn²⁺ + 2e⁻ → Zn(s) E° = –0.76 V
Ag⁺ + e⁻ → Ag(s) E° = +0.80 V
1.44V
A particle’s position is r(t)=(3t^2, 2t^3−9t)For t>0, at what time(s) is the particle’s velocity vector perpendicular to its acceleration vector?
t=1.00s
You are standing on a sheet of ice with negligible friction. A friend throws you a 0.42-kg pokeball that is traveling horizontally at 12 m/s. Your mass is 82 kg. If you catch the ball, what speed do you and the ball move?
.0612m/s
A photon with frequency f=7.50×1014 Hz strikes a detector. How much energy does a single photon deposit?
4.97 x 10^-19 J
Black holes have a very strong gravitational field from which nothing can escape, including light. Approximately, what is the radius of a black hole having mass equal to the sun?
Hint: Use Newtonian mechanics
3km
For the equilibrium
PCl5(g)⇌PCl3(g)+Cl2(g) the Kp at 250°C is 1.5. If initially only PCl₅ is present at a pressure of 2.0 atm, the equilibrium partial pressure of PCl₅ is this value.
1 atm