A 400 N force pulls due north on a crate. What other force must act on the crate if the net force on the crate is 152 N due North?

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Your hydrometer reading is 173.0 at 70 degrees F. What is the true proof of the brandy?

All of the following are true concerning magnetism EXCEPT:

a) breaking a magnet in half will create two magnets each with equal and opposite poles

b) the magnetic north pole is near the geographic south pole

c) the magnetic properties of a magnet are contained in every molecule of the magnet

d) a stationary charge can move a resting compass needle

How do you determine velocity from an acceleration - time graph?

a. take the slope

b. read information from graph

c. find the area under the graph

d. none of the above.

A uniform 8.50 kg plate has dimensions of 50 cm x 16 cm x 2 cm. The plate is free to rotate about an axle welded to the center of one end of the plate as shown below. What is the angular acceleration of the plate in the horizontal position?

2. A block with initial speed of 6 m/s at the bottom of an incline with an angle of 37 degrees with the horizontal reaches its highest point on the incline at 1.2m above ground. Find the coefficient of kinetic friction between the block and the incline. 3. Cart A, of mass 200 kg and with initial velocity of 4 m/s East collides head on with cart B, with initial velocity 6 m/s West. After collision, cart A rebounds at 2 m/s and cart B rebounds at 4 m/s. Determine the mass of cart B. 4. A 4 kg box is thrown at an unknown speed and at an unknown angle off the top of a 30 m high building. If it hits the ground with a speed of 10 m/s, determine its initial speed. (Answer can be written in radical form). 5. A 2,000 kg car makes a circular turn at a speed of 10 m/s. If the centripetal force acting on the car is 5,000 N, what is the radius of the circular turn? 6. A box of mass 20 kg, is held by two strings from the ceiling. One string is attached to the top of the box at an angle of 53 degrees with respect to the horizontal of the box and the other string is attached to the top of the box at angle of 37 degrees with respect to the horizontal of the box. Determine the tension in both of the strings, T1 and T2.

The end of a diving board can oscillate with a frequency of 2.9 Hz. Assume it behaves like a simple harmonic oscillator in what follows. Before we deal with the diving board, first consider you have a mass, m, on a spring with spring constant, k, oscillating with a certain frequency, f and amplitude, A. Derive an equation for ...

a) the magnitude of the maximum speed of the oscillator in terms of the frequency, f and the amplitude of the oscillation, A.

b) the magnitude of the maximum acceleration of the oscillator in terms of the frequency, f and the amplitude of the oscillation, A.

c) Now back to the diving board. You place a pebble on the end of the oscillating diving board. What is the maximum amplitude that the board can oscillate with so that the pebble doesn’t lose contact with the board at the top of the oscillation?

The uniform crate shown in Figure Q2 has a mass of 150 kg. Determine whether 85 kg man can move the crate or not. Assume that the man exerts only a horizontal force. The coefficient of static friction between the crate and the floor is 𝜇𝑠= 0.2, and the coefficient of friction between his shoes and the floor is 𝜇𝑠 ′= 0.4. Support your answer with the respective equations and free body diagrams.

Using 0.500 g of nichrome, you are asked to fabricate a wire with uniform cross-section. The resistance of the wire is 0.883 Ω. The nichrome has a resistivity of 1.00 10^{-6} Ω · m and a density of 8.31 10^{3} kg/m^{3}.

m

*/

(b) What is the radius of the wire?

mm

The water supply pipe for a building is located a distance d=3.00m below a faucet in a first-floor bathroom. The radius of the supply pipe is R=3.40cm and the radius of the faucet tap is r=1.20cm. When the faucet is fully open you can fill a bucket of volume V=4.20L in time t=30s. The density of water is .

a) Draw a sketch of a single pipe that goes from the supply pipe inlet to the faucet on the first floor and label it with the known quantities.

b) What speed does the water leave the faucet, using only the symbols given? What is the numerical value?

c) What is the speed of the water flowing in the supply pipe, assuming that there is only one pipe between the supply inlet and the faucet and no other faucets in the building are open? Symbolic first, then the numerical value.

d) What is the pressure difference between the supply pipe and the faucet gave the conditions in (c)? Symbolic first, then the numerical value.

Consider the mass-spring second-order equation:

(a) Find the matrix A such that the equation above for the mass-spring can be written as,

the first-order system.

where x=

(b) Compute the characteristic equation for the given equation and the characteristics equation of 2X2 matrix A. How are these quantities related?

(c) Find a formula for the eigenvalues of the coefficient matrix found above in terms of m, d, and k.

The belt of constellations through which all the planets move is called the ________.

The term half-life represents the time it takes:

Why does the fusion of heavier elements take place in high mass stars and not in low mass stars?

Dark matter cannot be made from neutrinos. Why is it so?

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