Question 1

A ball is thrown upward with a speed $$v_0. If it $$reaches a maximum height of 12.6 m above the initial point, what is $$v_0$$? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$11.1\ \mathrm{m/s}$$

Question 2

A ball is thrown horizontally at $$50.0\ \mathrm{m/s}$$ from a $$26.7\ \mathrm{m}$$ high cliff. How far from the cliff does the ball land? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$100\ \mathrm{m}$$

Question 3

Tony Stark has a hummingbird feeder at a height of $$3.60\ \mathrm{m}. If $$the mass of the hummingbird is $$5.0\ \mathrm{g}$$, what is the greatest acceleration he can achieve if the string is not to break? (Assume the string breaks at a tension of $$1.56\ \mathrm{N}.)$$

Accepted Answer

$$39.8\ \mathrm{m/s^2$}$$

Question 4

A ramp is tilted at $$27^	ext{o}$$ with respect to the horizontal. A box of mass $$10\ \mathrm{kg}$$ sits on the ramp without moving. What is the component of the weight of the box that is directed perpendicular to the ramp?

Accepted Answer

$$44.5\ \mathrm{N}$$

Question 5

A $$2.7\ \mathrm{kg}$$ box slides across a horizontal floor. It begins with a speed of $$9.8\ \mathrm{m/s}$$ and comes to rest after sliding $$1.67\ \mathrm{m}. $$What is the coefficient of kinetic friction between the box and the floor?

Accepted Answer

$$0.41$$

Question 6

A diver jumps from a $$10\ \mathrm{m}$$ platform with an initial upward velocity of $$3.0\ \mathrm{m/s}. $$What is the diver's velocity just before hitting the water? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$14.0\ \mathrm{m/s}$$

Question 7

A $$5.0\ \mathrm{kg}$$ block is pulled up a $$30^	ext{o}$$ incline with a force of $$40\ \mathrm{N}$$ parallel to the incline. The coefficient of kinetic friction is $$0.1. $$What is the acceleration of the block?

Accepted Answer

$$3.5\ \mathrm{m/s^2$}$$

Question 8

A $$40\ \mathrm{kg}$$ box is on a $$40^	ext{o}$$ incline with a coefficient of friction $$\mu = 0.1. $$What is the frictional force acting on the box?

Accepted Answer

$$30.0\ \mathrm{N}$$

Question 9

A $$30\ \mathrm{kg}$$ box is on a $$30^	ext{o}$$ incline with a coefficient of friction $$\mu = 0.1. $$What is the normal force acting on the box?

Accepted Answer

$$254\ \mathrm{N}$$

Question 10

A rocket bike travels to a corn flake at her fastest speed, then returns at $$1/3 of $$that speed. The total time for the trip is $$3.60\ \mathrm{s}. $$What is her fastest speed if the distance to the flake is $$d$$?

Accepted Answer

$$d/0.8$$

Question 11

Two blocks, $$30\ \mathrm{kg}$$ and $$40\ \mathrm{kg}$$, are connected over an ideal pulley on $$30^	ext{o}$$ and $$40^	ext{o}$$ inclines, respectively, with a coefficient of friction $$\mu = 0.1. $$What is the direction of motion?

Accepted Answer

The $$40\ \mathrm{kg}$$ block moves down, $$30\ \mathrm{kg}$$ block moves up.

Question 12

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

Accepted Answer

$$39.2\ \mathrm{N}$$

Question 13

A $$2.0\ \mathrm{kg}$$ object is dropped from a height of $$5.0\ \mathrm{m}. $$What is its speed just before hitting the ground? (Neglect air resistance)

Accepted Answer

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

Question 14

A $$5.0\ \mathrm{kg}$$ block slides down a $$20^	ext{o}$$ incline of length $$10\ \mathrm{m}$$ with a coefficient of kinetic friction $$0.2. $$What is its final speed at the bottom?

Accepted Answer

$$6.3\ \mathrm{m/s}$$

Question 15

A $$1.5\ \mathrm{kg}$$ object moves in a circle of radius $$2.0\ \mathrm{m} at a $$speed of $$3.0\ \mathrm{m/s}. $$What is the centripetal force acting on the object?

Accepted Answer

$$6.75\ \mathrm{N}$$

Question 16

A $$10\ \mathrm{kg}$$ box is pulled at constant speed up a $$25^	ext{o}$$ incline. If the coefficient of kinetic friction is $$0.2$$, what is the required force parallel to the incline?

Accepted Answer

$$47.2\ \mathrm{N}$$

Question 17

A $$2.0\ \mathrm{kg}$$ block is attached to a spring with $$k = 50\ \mathrm{N/m}$$ and compressed $$0.20\ \mathrm{m}$$ from equilibrium. What is the maximum speed of the block when released?

Accepted Answer

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

Question 18

A $$3.0\ \mathrm{kg}$$ object is moving at $$4.0\ \mathrm{m/s}$$ and collides elastically with a stationary $$2.0\ \mathrm{kg}$$ object. What is the velocity of the $$3.0\ \mathrm{kg}$$ object after the collision?

Accepted Answer

$$1.6\ \mathrm{m/s}$$

Question 19

A $$5.0\ \mathrm{kg}$$ block is dropped onto a spring with $$k = 200\ \mathrm{N/m}. $$How far does the spring compress before the block comes to rest?

Accepted Answer

$$0.49\ \mathrm{m}$$

Kinematics and Dynamics: Study Notes for Introductory Physics

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