Question 1

A ball is thrown horizontally from the top of a building that is 20.0 m high. Neglecting air resistance, how far from the base of the building will the ball land if its initial speed is 5.0 m/s?

Accepted Answer

$$15.8\ \mathrm{m}$$

Question 2

A projectile is launched at an angle $$	heta$$ above the horizontal with initial speed $$v_0. $$Neglecting air resistance, what is the acceleration in the horizontal direction?

Accepted Answer

$$0$$

Question 3

A brick is thrown upward from the top of a building at an angle of $$25^\circ to $$the horizontal with an initial speed of $$16\ \mathrm{m/s}. If $$the brick is in flight for $$3.4\ \mathrm{s}$$, how tall is the building?

Accepted Answer

$$37.7\ \mathrm{m}$$

Question 4

An artillery shell is fired with an initial velocity of $$300\ \mathrm{m/s} at$$ $$55.0^\circ$$ above the horizontal. If it explodes on a mountainside $$66.5\ \mathrm{s}$$ after firing, what is the $$x-$$coordinate of the shell where it explodes, relative to its firing point?

Accepted Answer

$$10200\ \mathrm{m}$$

Question 5

A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs $$135\ \mathrm{N}$$ and is $$3.00\ \mathrm{m}$$ long. What is the tension in each rope when the $$665\ \mathrm{N}$$ window washer stands $$2.00\ \mathrm{m}$$ from one end?

Accepted Answer

Smaller tension: $$245\ \mathrm{N}$$, Larger tension: $$555\ \mathrm{N}$$

Question 6

A $$4.25\ \mathrm{kg}$$ bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is $$2.20\ \mathrm{m/s^2$}$$, what is the force exerted by the rope?

Accepted Answer

$$52.5\ \mathrm{N}$$

Question 7

An object with mass $$m_1 = 3.50$$\ \mathrm{kg}$$ rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m_2$ = 1.25\ \mathrm{kg}. $$What is the magnitude of the acceleration of each object?

Accepted Answer

$$2.77\ \mathrm{m/s^2$}$$

Question 8

A person uses a hose to spray water at an angle of $$40^\circ$$ above the horizontal. The speed of the stream as it leaves the hose is $$v_0 = 40.0$$\ \mathrm{m/s}$$. At what height will the stream of water strike the building if it lands 25.6$$\ \mathrm{m}$$ away?

Accepted Answer

$$17.5\ \mathrm{m}$$

Question 9

A block of mass $$m is $$pulled at a constant speed across a horizontal surface by a force $$F at an $$angle $$	heta$$ above the horizontal. If the coefficient of kinetic friction is $$\mu_k$$, what is the magnitude of the frictional force?

Accepted Answer

$$\mu_k m g$$

Question 10

A student throws a heavy red ball horizontally from a balcony and a lighter blue ball from the same balcony at the same time. Neglecting air resistance, which statement is true?

Accepted Answer

The balls reach the ground at the same instant.

Question 11

An elevator of mass $$m$$ moves upward with a constant velocity. What is the tension $$T in $$the cable supporting the elevator?

Accepted Answer

$$T = m g$$

Question 12

A $$5.0\ \mathrm{kg}$$ bucket of water is raised from a well at a constant velocity. What is the force exerted by the rope?

Accepted Answer

$$49.0\ \mathrm{N}$$

Question 13

A block of mass $$m$$ slides down a frictionless incline of height $$h. $$What is its speed at the bottom?

Accepted Answer

$$v = \sqrt{2gh}$$

Question 14

A $$2.0\ \mathrm{kg}$$ block is connected to a $$1.0\ \mathrm{kg}$$ block by a string over a frictionless pulley. If the system starts from rest, what is the acceleration of the system?

Accepted Answer

$$3.27\ \mathrm{m/s^2$}$$

Question 15

A force $$F is $$applied to a $$10\ \mathrm{kg}$$ box on a frictionless surface, causing it to accelerate at $$2\ \mathrm{m/s^2$}. $$What is the magnitude of the force?

Accepted Answer

$$20\ \mathrm{N}$$

Question 16

A $$3.0\ \mathrm{kg}$$ block is pulled across a horizontal surface by a force of $$15\ \mathrm{N} at an $$angle of $$30^\circ$$ above the horizontal. If the coefficient of kinetic friction is $$0.2$$, what is the acceleration of the block?

Accepted Answer

$$2.27\ \mathrm{m/s^2$}$$

Question 17

A $$2.0\ \mathrm{kg}$$ block is at rest on a horizontal surface. A horizontal force of $$5.0\ \mathrm{N} is $$applied, but the block does not move. What can be said about the frictional force?

Accepted Answer

It is equal to $$5.0\ \mathrm{N}$$

Question 18

A $$10\ \mathrm{kg}$$ box is pulled by a rope at an angle of $$45^\circ$$ above the horizontal with a force of $$50\ \mathrm{N}. If $$the coefficient of kinetic friction is $$0.3$$, what is the net force on the box?

Accepted Answer

$$12.9\ \mathrm{N}$$

Fundamentals of Newtonian Mechanics and Projectile Motion: Study Notes

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