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 = 12.1 ms

Part B = R = 1.12 kΩ

Part C = t = 10.1 ms

Part D = 595 J

A 10.8 µF capacitor in a heart defibrillator unit is charged fully by a 10500 V power supply.

Find the time constant.

Determine the resistance, R.

How much time does it take for the capacitor to lose 81 % of its stored energy?

If the paddles are left in place for many time constants, how much energy is delivered to the chest/heart area of the patient?

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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Part A = ((m+M)/m)(sqrt(2gL(1-cos(θ))))

Part B = 0.852

In a ballistic pendulum an object of mass m is fired with an initial speed v_{0} at a pendulum bob.

Find an expression for v_{0}, the initial speed of the fired object.

An experiment is done to compare the initial speed of bullets fired from different handguns: find the ratio of the initial speed of the 9 mm bullet to the speed of the .44-caliber bullet, v_{0,9}/v_{0,44}

Mastering Physics – Gravity on another planet. After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 49.0 cm. What is the magnitude of the gravitational acceleration on this planet?

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Part A = A

Part B = A

Part C = moving toward equilibrium.

Part D = C

Part E = C

Part F = D

Part G = 3/8kA^{2}

Consider a harmonic oscillator at four different moments, labeled A, B, C, and D, as shown in the figure . Assume that the force constant k, the mass of the block, m, and the amplitude of vibrations, A, are given. Which moment corresponds to the maximum potential energy of the system?

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