Question 1

A car accelerates from rest at a constant acceleration of $$2.8\ \mathrm{m/s^2$}. $$How much time does it take to reach a speed of $$7.0\ \mathrm{m/s}$$?

Accepted Answer

$$2.5\ \mathrm{s}$$

Question 2

A student stands at the edge of a $$58.1\ \mathrm{m}$$ high cliff and throws a stone horizontally with a speed of $$24.6\ \mathrm{m/s}. $$How long does it take for the stone to hit the ground? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.44\ \mathrm{s}$$

Question 3

A $$0.232\ \mathrm{kg}$$ bead slides down a frictionless curved slide from a height of $$10.2\ \mathrm{m}. $$What is its speed at the bottom of the slide?

Accepted Answer

$$14.1\ \mathrm{m/s}$$

Question 4

A $$6.5\ \mathrm{kg}$$ object is accelerated at $$2.2\ \mathrm{m/s^2$}. $$What is the net force acting on the object?

Accepted Answer

$$14.3\ \mathrm{N}$$

Question 5

A $$56.3\ \mathrm{kg}$$ ice skater moving at $$11.9\ \mathrm{m/s}$$ collides with a stationary skater of equal mass. After the collision, they move together at $$5.95\ \mathrm{m/s}. If $$the impact lasts $$0.152\ \mathrm{s}$$, what is the magnitude of the average force experienced by the skater?

Accepted Answer

$$2,203.85\ \mathrm{N}$$

Question 6

A $$1.2\ \mathrm{kg}$$ physics book has dimensions $$0.26\ \mathrm{m} 	imes 0.21\ \mathrm{m} 	imes 0.039\ \mathrm{m}$$ and weighs $$18\ \mathrm{N}. $$What is its density?

Accepted Answer

$$867.7\ \mathrm{kg/m^3$}$$

Question 7

A $$76.8\ \mathrm{kg}$$ ice skater is moving at $$5.08\ \mathrm{m/s}$$ and grabs a rope tied to a pole, moving in a circle of radius $$0.596\ \mathrm{m}. $$What is the tension in the rope?

Accepted Answer

$$3,325.4\ \mathrm{N}$$

Question 8

A cylindrical pulley with mass $$5.6\ \mathrm{kg}$$ and radius $$0.897\ \mathrm{m} is $$used to lower a $$2.9\ \mathrm{kg}$$ bucket into a well. If the bucket falls for $$3.65\ \mathrm{s}$$ starting from rest, what is the linear acceleration of the bucket? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$4.99\ \mathrm{m/s^2$}$$

Question 9

A $$0.837\ \mathrm{kg}$$ mass is attached to a spring with force constant $$8.0\ \mathrm{N/m}$$ and oscillates on a frictionless surface. What is the period of oscillation?

Accepted Answer

$$2.04\ \mathrm{s}$$

Question 10

A $$61\ \mathrm{g}$$ sample of copper at $$17^{\circ}$$\mathrm{C}$$ absorbs 10$$,600\ \mathrm{J}$$ of energy. If the specific heat of copper is 387$$\ \mathrm{J/(kg\cdot{}^{\circ}C)}$$, what is the final temperature of the copper?

Accepted Answer

$$61.9^{\circ}$$\mathrm{C}$$

Question 11

A $$0.35\ \mathrm{m^3$}$$ container holds $$6.2$$ moles of argon gas at $$22^{\circ}$$\mathrm{C}$$. What is the internal energy of the gas? (Use R = 8.314$$\ \mathrm{J/(mol\cdot{}K)}$$)

Accepted Answer

$$22,810.9\ \mathrm{J}$$

Question 12

A $$46.7\ \mathrm{g}$$ object is attached to a horizontal spring with $$k = 10.3\ \mathrm{N/m}$$ and released from rest with amplitude $$22.5\ \mathrm{cm}. $$What is the velocity when it is halfway to equilibrium?

Accepted Answer

$$2.91\ \mathrm{m/s}$$

Question 13

A $$783\ \mathrm{N}$$ man stands in the middle of a frictionless pond of radius $$6.5\ \mathrm{m}$$ and throws a $$1.2\ \mathrm{kg}$$ physics book with a speed of $$4.8\ \mathrm{m/s}. $$How long does it take him to reach the shore?

Accepted Answer

$$90.1\ \mathrm{s}$$

Question 14

A wheel of radius $$3.2\ \mathrm{m} is $$rotated through an angle of $$242^{\circ}. $$What is the path length traveled by a point on the circumference?

Accepted Answer

$$13.5\ \mathrm{m}$$

Question 15

A $$0.6\ \mathrm{m}$$ amplitude simple harmonic oscillator is described by $$x(t) = 0.6\cos(0.52 t). $$What is the frequency of the motion?

Accepted Answer

$$0.083\ \mathrm{Hz}$$

Question 16

A $$1.3\ \mathrm{kg}$$ and a $$1.8\ \mathrm{kg}$$ mass are connected by a massless string over a pulley (hoop) of mass $$2.2\ \mathrm{kg}$$ and radius $$0.202\ \mathrm{m}. $$What is the magnitude of the linear acceleration of the masses? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.0\ \mathrm{m/s^2$}$$

Question 17

A $$0.5\ \mathrm{kg}$$ sample of water is heated from $$20^{\circ}$$\mathrm{C}$$ to 23$$^{\circ}$$\mathrm{C}. $$How much energy is required? (Specific heat of water is $$4186\ \mathrm{J/(kg\cdot{}^{\circ}C)})$$

Accepted Answer

$$6,279\ \mathrm{J}$$

Question 18

A $$12024\ \mathrm{kg}$$ Boeing 737 has a total wing area of $$137\ \mathrm{m^2$}. $$What must be the pressure difference $$\Delta P$$ between the top and bottom of the wings for level flight? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$860\ \mathrm{Pa}$$

Question 19

A $$46.7\ \mathrm{g}$$ mass attached to a spring with $$k = 10.3\ \mathrm{N/m} is $$released from rest at amplitude $$22.5\ \mathrm{cm}. $$What is the maximum speed of the mass?

Accepted Answer

$$3.12\ \mathrm{m/s}$$

Comprehensive Physics I Study Notes: Motion, Forces, Energy, Fluids, and Thermodynamics

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