Q: A ball is thrown vertically upward with an initial velocity of $$10\ \mathrm{m/s}. $$Neglecting air resistance, what is its velocity after $$1\ \mathrm{s}$$?

$$v = v_0$ - gt = 10 - 9.8 \times 1 = 0.2\ \mathrm{m/s}$$

Q: A $$2\ \mathrm{kg}$$ object is lifted $$3\ \mathrm{m}$$ vertically. What is the work done against gravity?

$$W = mgh = 2 \times 9.8 \times 3 = 58.8\ \mathrm{J}$$

Q: A $$0.5\ \mathrm{kg}$$ ball is dropped from a height of $$4\ \mathrm{m}. $$What is its speed just before hitting the ground? (Neglect air resistance)

$$v = \sqrt{2gh} = \sqrt{2 \times 9.8 \times 4} = 8.85\ \mathrm{m/s}$$

Q: A student pushes a $$10\ \mathrm{kg}$$ box across a floor with a force of $$50\ \mathrm{N} at an $$angle of $$30^\circ to $$the horizontal. What is the horizontal component of the force?

$$F_x = F \cos \theta = 50 \cos 30^\circ = 43.3\ \mathrm{N}$$

Question 1

Which of the following best describes the scientific method as applied in physics experiments?

Accepted Answer

A systematic approach involving observation, hypothesis formulation, experimentation, and analysis.

Question 2

A student measures the acceleration due to gravity by dropping a ball from a height of $$2.0\ \mathrm{m}$$ and recording the time as $$0.64\ \mathrm{s}. $$Which equation should be used to calculate $$g$$ and what is its value?

Accepted Answer

Use $$g = \frac{2h}{t^2$}$$; $$g = 9.77\ \mathrm{m/s^2$}$$

Question 3

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 4

A car accelerates uniformly from rest to $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the acceleration?

Accepted Answer

$$a = \frac{v}{t} = \frac{20}{5} = 4\ \mathrm{m/s^2$}$$

Question 5

Which law explains why passengers move forward when a car suddenly stops?

Accepted Answer

Newton's First Law

Question 6

A $$5\ \mathrm{kg}$$ box is pushed with a force of $$20\ \mathrm{N} on a $$frictionless surface. What is its acceleration?

Accepted Answer

$$a = \frac{F}{m} = \frac{20}{5} = 4\ \mathrm{m/s^2$}$$

Question 7

Which of the following best describes the difference between mass and weight?

Accepted Answer

Mass is the amount of matter in an object; weight is the force of gravity acting on that mass.

Question 8

A ball is thrown vertically upward with an initial velocity of $$10\ \mathrm{m/s}. $$Neglecting air resistance, what is its velocity after $$1\ \mathrm{s}$$?

Accepted Answer

$$v = v_0$ - gt = 10 - 9.8 	imes 1 = 0.2\ \mathrm{m/s}$$

Question 9

Which equation correctly relates work, force, and displacement when the force is constant and parallel to the displacement?

Accepted Answer

$$W = F \cdot d$$

Question 10

A $$2\ \mathrm{kg}$$ object is lifted $$3\ \mathrm{m}$$ vertically. What is the work done against gravity?

Accepted Answer

$$W = mgh = 2 	imes 9.8 	imes 3 = 58.8\ \mathrm{J}$$

Question 11

Which of the following statements about energy conservation is correct?

Accepted Answer

Energy can be transformed from one form to another, but the total energy in a closed system remains constant.

Question 12

A $$0.5\ \mathrm{kg}$$ ball is dropped from a height of $$4\ \mathrm{m}. $$What is its speed just before hitting the ground? (Neglect air resistance)

Accepted Answer

$$v = \sqrt{2gh} = \sqrt{2 	imes 9.8 	imes 4} = 8.85\ \mathrm{m/s}$$

Question 13

Which of the following is NOT a fundamental SI unit?

Accepted Answer

Newton

Question 14

A student pushes a $$10\ \mathrm{kg}$$ box across a floor with a force of $$50\ \mathrm{N} at an $$angle of $$30^\circ to $$the horizontal. What is the horizontal component of the force?

Accepted Answer

$$F_x = F \cos 	heta = 50 \cos 30^\circ = 43.3\ \mathrm{N}$$

Question 15

Which of the following best describes the role of uncertainty in scientific measurements?

Accepted Answer

Uncertainty quantifies the range within which the true value is expected to lie.

Question 16

A projectile is launched at $$20\ \mathrm{m/s} at an $$angle of $$45^\circ$$ above the horizontal. What is the initial vertical component of its velocity?

Accepted Answer

$$v_{y0} = v_0$ \sin 	heta = 20 \sin 45^\circ = 14.14\ \mathrm{m/s}$$

Question 17

Which of the following is an example of a scalar quantity?

Accepted Answer

Energy

Question 18

A $$3\ \mathrm{kg}$$ object moving at $$4\ \mathrm{m/s}$$ collides with a stationary $$2\ \mathrm{kg}$$ object. If they stick together, what is their final velocity?

Accepted Answer

$$v_f = \frac{m_1$ v_1$ + m_2$ v_2$}{m_1$ + m_2$} = \frac{3 	imes 4 + 2 	imes 0}{3 + 2} = 2.4\ \mathrm{m/s}$$

Question 19

Which of the following best describes the purpose of a laboratory experiment in physics?

Accepted Answer

To verify theoretical predictions and develop practical skills.

PHYS*1300 - Fundamentals of Physics: Course Syllabus and Structure

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