Q: A projectile is launched at an angle $$\theta$$ with initial speed $$v_0. $$Which equation gives the horizontal range (distance) of the projectile, neglecting air resistance?

$$R = \frac{v_0$^2\sin(2\theta)}{g}$$

Q: A block of mass $$m is $$pulled up a rough incline at angle $$\theta$$ with coefficient of kinetic friction $$\mu_k. $$What is the expression for the net force parallel to the incline?

$$F_{\text{net}} = m a = F - m g \sin\theta - \mu_k m g \cos\theta$$

Question 1

A car starts from rest and accelerates uniformly at $$2.0\ \mathrm{m/s^2$}$$ for $$5.0\ \mathrm{s}. $$What is the final velocity of the car?

Accepted Answer

$$10.0\ \mathrm{m/s}$$

Question 2

A ball is thrown horizontally from the top of a $$20\ \mathrm{m}$$ high building with an initial speed of $$5\ \mathrm{m/s}. $$How far from the base of the building does the ball land? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$10.1\ \mathrm{m}$$

Question 3

A block of mass $$m$$ slides down a frictionless incline at angle $$	heta. $$What is the acceleration of the block?

Accepted Answer

$$a = g\sin	heta$$

Question 4

A projectile is launched at an angle $$	heta$$ with initial speed $$v_0. $$Which equation gives the horizontal range (distance) of the projectile, neglecting air resistance?

Accepted Answer

$$R = \frac{v_0$^2\sin(2	heta)}{g}$$

Question 5

A 5 kg box is pulled horizontally with a force of $$30\ \mathrm{N} on a $$surface with kinetic friction coefficient $$\mu_k = 0.2. $$What is the acceleration of the box? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

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

Question 6

Which of the following best describes Newton’s First Law?

Accepted Answer

An object remains at rest or in uniform motion unless acted upon by a net external force.

Question 7

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

Accepted Answer

$$5.33\ \mathrm{m/s^2$}$$

Question 8

A block is at rest on a horizontal surface. The maximum static friction force is $$f_s = \mu_s n. If a $$horizontal force $$F is $$applied and $$F \u003e f_s$$, what happens?

Accepted Answer

The block begins to move, and kinetic friction applies.

Question 9

A 10 kg object is suspended by a rope. What is the tension in the rope if the object is at rest? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$98\ \mathrm{N}$$

Question 10

A car travels $$120\ \mathrm{km} in$$ $$2\ \mathrm{hours}$$ and $$80\ \mathrm{km} in$$ $$1\ \mathrm{hour}. $$What is the average speed for the entire trip?

Accepted Answer

$$66.7\ \mathrm{km/h}$$

Question 11

A block of mass $$m is $$pulled up a rough incline at angle $$	heta$$ with coefficient of kinetic friction $$\mu_k. $$What is the expression for the net force parallel to the incline?

Accepted Answer

$$F_{	ext{net}} = m a = F - m g \sin	heta - \mu_k m g \cos	heta$$

Question 12

A ball is thrown vertically upward with initial velocity $$v_i. $$What is the maximum height reached by the ball?

Accepted Answer

$$h = \frac{v_i^2$}{2g}$$

Question 13

A 3 kg object is acted upon by two forces: $$F_1 = 10$$\ \mathrm{N}$$ to the right and F_2$ = 4\ \mathrm{N} to $$the left. What is the acceleration?

Accepted Answer

$$2.0\ \mathrm{m/s^2$}$$\ to\ the\ right

Question 14

A block is attached to a spring and pulled so that the spring is stretched by $$0.2\ \mathrm{m}$$ from its equilibrium position. If the spring constant is $$k = 50\ \mathrm{N/m}$$, what is the force exerted by the spring?

Accepted Answer

$$-10\ \mathrm{N}$$

Question 15

A cyclist rounds a curve of radius $$50\ \mathrm{m} at a $$speed of $$10\ \mathrm{m/s}. $$What is the period $$T of $$one complete revolution?

Accepted Answer

$$T = \frac{2\pi r}{v} = 31.4\ \mathrm{s}$$

Question 16

A 6 kg object is moving with velocity $$v_i = 3\ \mathrm{m/s}$$ and is brought to rest by a constant force in $$4\ \mathrm{s}. $$What is the magnitude of the force?

Accepted Answer

$$4.5\ \mathrm{N}$$

Question 17

A block is sliding down a rough incline at angle $$30^\circ$$ with $$\mu_k = 0.1. $$What is the acceleration of the block? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.43\ \mathrm{m/s^2$}$$

Question 18

A student throws a ball horizontally from a $$45\ \mathrm{m}$$ high cliff with a speed of $$8\ \mathrm{m/s}. $$How long does it take to hit the ground? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.03\ \mathrm{s}$$

Question 19

A 7 kg object is acted upon by a net force of $$21\ \mathrm{N}. $$What is its acceleration?

Accepted Answer

$$3.0\ \mathrm{m/s^2$}$$

Physics with Calculus: Kinematics and Newton's Laws (Chapters 1–5) Study Notes

Guida di studio - Domande di pratica

Study guide - Flashcard