Q: A projectile is launched at an angle $$\theta$$ with an initial speed $$v_0. $$Which equation gives the maximum height reached by the projectile?

$$h_{max} = \frac{v_0$^2 \sin^2$ \theta}{2g}$$

Question 1

Which of the following best describes the primary objective of measurement in physics experiments?

Accepted Answer

To quantify physical quantities and compare them with theoretical models.

Question 2

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

Accepted Answer

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

Question 3

Which of the following equations correctly represents Newton's Second Law of Motion?

Accepted Answer

$$F = m a$$

Question 4

A projectile is launched at an angle $$	heta$$ with an initial speed $$v_0. $$Which equation gives the maximum height reached by the projectile?

Accepted Answer

$$h_{max} = \frac{v_0$^2 \sin^2$ 	heta}{2g}$$

Question 5

Which of the following statements about friction is correct?

Accepted Answer

Frictional force always acts opposite to the direction of motion or intended motion.

Question 6

A $$2\ \mathrm{kg}$$ block slides down a frictionless incline of height $$5\ \mathrm{m}. $$What is its speed at the bottom? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$9.9\ \mathrm{m/s}$$

Question 7

Which of the following is the correct expression for the work done by a constant force $$F$$ acting over a displacement $$d at an $$angle $$	heta to $$the displacement?

Accepted Answer

$$W = F d \cos 	heta$$

Question 8

A ball of mass $$m is $$attached to a string and swung in a horizontal circle of radius $$r at $$constant speed $$v. $$What is the tension in the string?

Accepted Answer

$$T = \frac{m v^2$}{r}$$

Question 9

Which of the following best describes the principle of conservation of energy?

Accepted Answer

The total energy of an isolated system remains constant.

Question 10

A $$0.5\ \mathrm{kg}$$ ball is dropped from a height of $$10\ \mathrm{m}. $$What is its kinetic energy just before hitting the ground? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$49\ \mathrm{J}$$

Question 11

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 12

A $$3\ \mathrm{kg}$$ object moves in a circle of radius $$2\ \mathrm{m} at a $$constant speed of $$4\ \mathrm{m/s}. $$What is the magnitude of its centripetal acceleration?

Accepted Answer

$$8\ \mathrm{m/s^2$}$$

Question 13

Which of the following is NOT a valid unit for work?

Accepted Answer

$$\mathrm{W} ($$Watt)

Question 14

A force of $$10\ \mathrm{N} is $$applied to a $$2\ \mathrm{kg}$$ object for $$3\ \mathrm{s}. $$What is the change in velocity of the object?

Accepted Answer

$$5\ \mathrm{m/s}$$

Question 15

Which of the following best describes equilibrium for a rigid body?

Accepted Answer

The net force and net torque on the body are both zero.

Question 16

A $$5\ \mathrm{kg}$$ object is moving at $$10\ \mathrm{m/s}. $$What is its momentum?

Accepted Answer

$$50\ \mathrm{kg \cdot m/s}$$

Question 17

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

Accepted Answer

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

Question 18

A $$10\ \mathrm{kg}$$ box is pulled up a $$30^\circ$$ incline with a force parallel to the incline. If the incline is $$5\ \mathrm{m}$$ long and friction is negligible, what is the work done by the force?

Accepted Answer

$$245\ \mathrm{J}$$

Question 19

Which of the following is a correct statement of Newton's Third Law?

Accepted Answer

For every action, there is an equal and opposite reaction.

Question 20

A $$1\ \mathrm{kg}$$ mass attached to a spring oscillates with a period of $$2\ \mathrm{s}. $$What is the spring constant $$k$$?

Accepted Answer

$$\pi^2$\ \mathrm{N/m}$$

PHYS 101 General Physics I - Syllabus and Core Concepts Overview

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