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

$$\frac{v_0$^2 \sin^2$\theta}{2g}$$

Question 1

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 2

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

Accepted Answer

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

Question 3

A $$2\ \mathrm{kg}$$ block slides down a frictionless incline of height $$5\ \mathrm{m}. $$What is its speed at the bottom?

Accepted Answer

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

Question 4

Which of the following is a correct expression for the work done by a constant force $$\vec{F}$$ acting over a displacement $$\vec{d}$$?

Accepted Answer

$$W = \vec{F} \cdot \vec{d}$$

Question 5

A $$0.5\ \mathrm{kg}$$ ball moving at $$4\ \mathrm{m/s}$$ collides elastically with a stationary $$0.5\ \mathrm{kg}$$ ball. What is the velocity of the first ball after the collision?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 6

A $$3\ \mathrm{kg}$$ object is attached to a spring with a force constant $$k = 150\ \mathrm{N/m}. $$What is the period of oscillation?

Accepted Answer

$$0.89\ \mathrm{s}$$

Question 7

Which of the following statements about the center of mass is correct?

Accepted Answer

The center of mass moves as if all external forces act at that point.

Question 8

A disk rotates with constant angular acceleration. If its initial angular velocity is $$0$$ and after $$4\ \mathrm{s} it $$has rotated $$16\ \mathrm{rad}$$, what is its angular acceleration?

Accepted Answer

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

Question 9

A $$10\ \mathrm{kg}$$ box is at rest on a horizontal surface. The coefficient of static friction is $$0.4. $$What is the minimum horizontal force required to start moving the box?

Accepted Answer

$$39.2\ \mathrm{N}$$

Question 10

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

Accepted Answer

The change in internal energy of a system equals the heat added to the system minus the work done by the system.

Question 11

A $$2\ \mathrm{kg}$$ object moving at $$3\ \mathrm{m/s}$$ collides inelastically with a $$1\ \mathrm{kg}$$ object at rest. What is their final velocity?

Accepted Answer

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

Question 12

A uniform beam of length $$6\ \mathrm{m}$$ and mass $$30\ \mathrm{kg} is $$supported at its ends. A $$60\ \mathrm{kg}$$ person stands $$2\ \mathrm{m}$$ from one end. What is the force exerted by the support closest to the person?

Accepted Answer

$$490\ \mathrm{N}$$

Question 13

Which of the following is the correct relationship between linear velocity $$v$$ and angular velocity $$\omega$$ for a point at a distance $$r$$ from the axis of rotation?

Accepted Answer

$$v = r\omega$$

Question 14

A $$0.2\ \mathrm{kg}$$ mass attached to a spring oscillates with amplitude $$0.1\ \mathrm{m}$$ and period $$0.5\ \mathrm{s}. $$What is the maximum speed of the mass?

Accepted Answer

$$1.26\ \mathrm{m/s}$$

Question 15

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

Accepted Answer

$$\frac{v_0$^2 \sin^2$	heta}{2g}$$

Question 16

A $$5\ \mathrm{kg}$$ object is moving in a circle of radius $$2\ \mathrm{m} at a $$constant speed of $$4\ \mathrm{m/s}. $$What is the magnitude of the centripetal force?

Accepted Answer

$$40\ \mathrm{N}$$

Question 17

Which of the following is a correct statement about equilibrium?

Accepted Answer

The net force and net torque on the object must both be zero.

Question 18

A $$0.1\ \mathrm{kg}$$ bullet moving at $$500\ \mathrm{m/s}$$ embeds itself in a $$2\ \mathrm{kg}$$ block initially at rest. What is the final velocity of the block and bullet?

Accepted Answer

$$23.8\ \mathrm{m/s}$$

Question 19

A gas absorbs $$500\ \mathrm{J} of $$heat and does $$200\ \mathrm{J} of $$work. What is the change in its internal energy?

Accepted Answer

$$300\ \mathrm{J}$$

University Physics I (PHYS-2425-NVC 008) Syllabus and Course Overview

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