Part A = smooth

Part B = a distance 2h/3 above the floor

Part C = -2mgh/3

Part D = -mgh

Part E = 1/2mv_{i}^2 + mgh_{i} = 1/2mv_{f}^2 + mgh_{f}

Part F = K increases; U decreases; E stays the same

Part G = sqrt(v^2 + 2gh)

Part H = 1/2mv_{i}^2 + W_{nc} = 1/2mv_{f}^2

Part I = K decreases; U stays the same; E decreases

Part J = friction

Part K = 0.5mv^2 + mgh

An infinitely long line of charge has a linear charge density of 8.00*10^−12 C/m. A proton is at distance 19.0 cm from the line and is moving directly toward the line with speed 1200 m/s.

How close does the proton get to the line of charge?

Part A = L = ((0.5 * x_{c}^2 * k) – m * g * sin(θ) * x_{c}) / (m * g * (sin(θ) + cos(θ)*μ))

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A block of mass m is placed in a smooth-bored spring gun at the bottom of the incline so that it compresses the spring by an amount x_{c}. The spring has spring constant k. The incline makes an angle θ with the horizontal and the coefficient of kinetic friction between the block and the incline is μ. The block is released, exits the muzzle of the gun, and slides up an incline a total distance L.

Find L, the distance traveled along the incline by the block after it exits the gun. Ignore friction when the block is inside the gun. Also, assume that the uncompressed spring is just at the top of the gun (i.e., the block moves a distance x_{c} while inside of the gun). Use g for the magnitude of acceleration due to gravity.

Part A = 3.3 V

Part B = 2.5 * 10^{4} m/s

Part C = 3300 v

Part D = 8.0 * 10^{5} m/s

Part E = 5.0 * 10^{3} V

Part F = 9.8 * 10^{5} m/s

Calculate the voltage required to accelerate a beam of protons initially at rest if they have a kinetic energy of 3.3 eV.

Calculate their speed if they have a kinetic energy of 3.3 eV.

A 1.0 kg object moving at 1.1 m/s collides elastically with a stationary 1.0 kg object, similar to the situation shown in the figure. How far will the initially stationary object travel along a 37° inclined plane? (Neglect friction.)

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A Relation Between Momentum and Kinetic Energy. A cardinal (Richmondena cardinalis) of mass 4.50×10^{−2} kg and a baseball of mass 0.149 kg have the same kinetic energy. What is the ratio of the cardinal’s magnitude p_{c} of momentum to the magnitude p_{b} of the baseball’s momentum? A man weighing 660 N and a woman weighing 490 N have the same momentum. What is the ratio of the man’s kinetic energy K_{m} to that of the woman K_{w}?