Q: Which of the following is a correct statement about work and energy?

Work is defined as $$W = Fd \cos \theta$$, where $$F is $$the force, $$d is $$the displacement, and $$\theta is $$the angle between force and displacement.

Question 1

A car accelerates from rest at a constant rate of $$2 \ \mathrm{m/s^2$}$$ for $$5$$ seconds. What is the final velocity of the car?

Accepted Answer

$$10 \ \mathrm{m/s}$$

Question 2

Which of the following best describes Newton's Second Law of Motion?

Accepted Answer

The acceleration of an object is proportional to the net force acting on it and inversely proportional to its mass: $$F = ma$$

Question 3

A $$0.5 \ \mathrm{kg}$$ ball is dropped from a height of $$10 \ \mathrm{m}. $$Ignoring air resistance, what is its velocity just before it hits the ground? (Use $$g = 9.8 \ \mathrm{m/s^2$})$$

Accepted Answer

$$14 \ \mathrm{m/s}$$

Question 4

Which of the following is a correct statement about work and energy?

Accepted Answer

Work is defined as $$W = Fd \cos 	heta$$, where $$F is $$the force, $$d is $$the displacement, and $$	heta is $$the angle between force and displacement.

Question 5

A $$2 \ \mathrm{kg}$$ object moves in a circle of radius $$0.5 \ \mathrm{m} at a $$constant speed of $$4 \ \mathrm{m/s}. $$What is the centripetal force acting on the object?

Accepted Answer

$$32 \ \mathrm{N}$$

Question 6

Which of the following scenarios best illustrates Newton's Third Law of Motion?

Accepted Answer

A swimmer pushes water backward, and the water pushes the swimmer forward.

Question 7

A $$5 \ \mathrm{kg}$$ block slides down a frictionless incline of $$30^\circ$$ with a length of $$10 \ \mathrm{m}. $$What is the work done by gravity?

Accepted Answer

$$245 \ \mathrm{J}$$

Question 8

Which equation correctly expresses the conservation of mechanical energy for a system with only conservative forces?

Accepted Answer

$$E_{\mathrm{initial}} = E_{\mathrm{final}}$$

Question 9

A $$0.2 \ \mathrm{kg}$$ ball moving at $$5 \ \mathrm{m/s}$$ collides elastically with a stationary $$0.3 \ \mathrm{kg}$$ ball. What is the velocity of the $$0.2 \ \mathrm{kg}$$ ball after the collision?

Accepted Answer

$$-1 \ \mathrm{m/s}$$

Question 10

Which of the following is the correct formula for the period of a simple pendulum of length $$L$$?

Accepted Answer

$$T = 2\pi \sqrt{\frac{L}{g}}$$

Question 11

A $$1 \ \mathrm{kg}$$ object is attached to a spring with a spring constant $$k = 100 \ \mathrm{N/m}. $$What is the frequency of oscillation?

Accepted Answer

$$1.59 \ \mathrm{Hz}$$

Question 12

Which of the following statements about fluid pressure is correct?

Accepted Answer

Fluid pressure at a depth $$h is $$given by $$P = P_0$ + \rho gh$$, where $$P_0 is $$atmospheric pressure, $$\rho is $$fluid density, and $$g is $$acceleration due to gravity.

Question 13

A $$3 \ \mathrm{kg}$$ object moving at $$4 \ \mathrm{m/s}$$ collides inelastically with a $$2 \ \mathrm{kg}$$ object at rest. What is their final velocity after the collision?

Accepted Answer

$$2.4 \ \mathrm{m/s}$$

Question 14

Which of the following best describes the First Law of Thermodynamics?

Accepted Answer

The change in internal energy of a system is equal to the heat added to the system minus the work done by the system: $$\Delta U = Q - W$$

Question 15

A $$0.5 \ \mathrm{kg}$$ mass is attached to a string and swung in a horizontal circle of radius $$2 \ \mathrm{m} at a $$speed of $$3 \ \mathrm{m/s}. $$What is the tension in the string?

Accepted Answer

$$2.25 \ \mathrm{N}$$

Question 16

Which of the following is a correct application of Bernoulli's equation?

Accepted Answer

The pressure in a fluid decreases as its speed increases, as described by $$P + \frac{1}{2}ho v^2$ + ho gh = 	ext{constant}.$$

Question 17

A $$0.1 \ \mathrm{kg}$$ object is dropped from a height of $$20 \ \mathrm{m}. $$What is its kinetic energy just before it hits the ground?

Accepted Answer

$$19.6 \ \mathrm{J}$$

Question 18

Which of the following is the correct formula for the gravitational force between two masses $$m_1$$ and $$m_2$$ separated by a distance $$r$$?

Accepted Answer

$$F = G \frac{m_1$ m_2$}{r^2$}$$

Question 19

A $$0.3 \ \mathrm{kg}$$ block attached to a spring oscillates with an amplitude of $$0.2 \ \mathrm{m}$$ and a spring constant of $$50 \ \mathrm{N/m}. $$What is its maximum speed?

Accepted Answer

$$2.58 \ \mathrm{m/s}$$

PHY 111: General Physics I – Course Syllabus and Topic Overview

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