Question 1

A car accelerates uniformly from rest to a speed of $$40\ \mathrm{m/s} in$$ $$8.0\ \mathrm{s}. $$What is the magnitude of the constant acceleration required to do this?

Accepted Answer

$$2.5\ \mathrm{m/s^2$}$$

Question 2

A $$2.0\ \mathrm{kg}$$ block slides on a rough horizontal surface. A force $$F = 6.00\ \mathrm{N} is $$applied to the block as shown. The magnitude of the block's acceleration is $$1.20\ \mathrm{m/s^2$}. $$What is the magnitude of the force of friction acting on the block?

Accepted Answer

$$3.6\ \mathrm{N}$$

Question 3

A $$1000\ \mathrm{kg}$$ car moves around a circular track of radius $$100\ \mathrm{m}$$ with a speed of $$50\ \mathrm{m/s}. $$Find the magnitude of its angular velocity $$\omega$$ and its centripetal acceleration $$a_c$$ relative to the center of the track.

Accepted Answer

$$\omega = 0.5\ \mathrm{rad/s}$$, $$a_c = 25\ \mathrm{m/s^2$}$$

Question 4

A stone is thrown from the top of a building with an initial velocity of $$20\ \mathrm{m/s}$$ downward. The top of the building is $$60\ \mathrm{m}$$ above the ground. How much time elapses between the instant of release and the instant of impact with the ground? (Assume $$g = 10\ \mathrm{m/s^2$}$$ downward.)

Accepted Answer

$$3\ \mathrm{s}$$

Question 5

A $$1.64\ \mathrm{kg}$$ weight swings in a vertical circle at the end of a string having length $$2.10\ \mathrm{m}. $$The string is at an angle of $$30^\circ to $$the vertical, and the tension in the string is $$19.8\ \mathrm{N}. $$What is the magnitude of the weight's speed at this position?

Accepted Answer

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

Question 6

A $$2.0\ \mathrm{kg}$$ crate is pushed across a frictionless horizontal floor with a force of $$8.0\ \mathrm{N}$$, directed $$20^\circ$$ below the horizontal. What is the acceleration of the crate?

Accepted Answer

$$3.8\ \mathrm{m/s^2$}$$

Question 7

A solid cylinder and a thin cylindrical shell have the same mass and radius. They are rotating with the same angular speed. Which one has the higher angular momentum?

Accepted Answer

The thin cylindrical shell

Question 8

A $$0.50\ \mathrm{kg}$$ mass attached to the end of a string swings in a vertical circle (radius $$2.0\ \mathrm{m}). $$When the mass is at the lowest point, the tension in the string is $$14\ \mathrm{N}. $$What is the magnitude of the force of gravity on the mass?

Accepted Answer

$$4.9\ \mathrm{N}$$

Question 9

A $$2.0\ \mathrm{kg}$$ block, with a mass of $$2.0\ \mathrm{kg}$$, moves along the x axis with a velocity of $$5.0\ \mathrm{m/s} in $$the positive x direction. It suffers a collision with a $$1.0\ \mathrm{kg}$$ block at rest, and after the collision, the $$2.0\ \mathrm{kg}$$ block moves at $$2.0\ \mathrm{m/s}$$, while the $$1.0\ \mathrm{kg}$$ block moves at $$x\ \mathrm{m/s}. If $$double the mass of the $$1.0\ \mathrm{kg}$$ block, what is its velocity after the collision?

Accepted Answer

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

Question 10

A $$0.50\ \mathrm{kg}$$ mass is attached to the end of a string and swings in a vertical circle (radius $$2.0\ \mathrm{m}). $$When the mass is at the lowest point, the tension in the string is $$14\ \mathrm{N}. $$What is the magnitude of the net force acting on the mass at this point?

Accepted Answer

$$9.1\ \mathrm{N}$$

Question 11

A $$1.0\ \mathrm{kg}$$ object moving along the x axis is acted upon by a force $$F$$ that varies with position as shown. How much work is done by this force as the object moves from $$x = 0 to$$ $$x = 8\ \mathrm{m}$$?

Accepted Answer

$$16\ \mathrm{J}$$

Question 12

A $$2.0\ \mathrm{kg}$$ block is suspended by a rope from the ceiling of an elevator. The elevator accelerates downward at $$3.0\ \mathrm{m/s^2$}. $$What is the tension in the rope?

Accepted Answer

$$10\ \mathrm{N}$$

Question 13

A $$0.50\ \mathrm{kg}$$ mass attached to the end of a string swings in a vertical circle (radius $$2.0\ \mathrm{m}). $$When the mass is at the lowest point, the tension in the string is $$14\ \mathrm{N}. $$What is the magnitude of the centripetal force acting on the mass at this point?

Accepted Answer

$$9.1\ \mathrm{N}$$

Question 14

A $$2.0\ \mathrm{kg}$$ block slides on a rough horizontal surface. A force $$F = 6.00\ \mathrm{N} is $$applied to the block as shown. The magnitude of the block's acceleration is $$1.20\ \mathrm{m/s^2$}. $$What is the net force acting on the block?

Accepted Answer

$$2.4\ \mathrm{N}$$

Question 15

A $$1.0\ \mathrm{kg}$$ object moving along the x axis is acted upon by a force $$F$$ that varies with position as shown. What is the change in kinetic energy of the object as it moves from $$x = 0 to$$ $$x = 8\ \mathrm{m}$$?

Accepted Answer

$$16\ \mathrm{J}$$

Question 16

A $$2.0\ \mathrm{kg}$$ block is suspended by a rope from the ceiling of an elevator. The elevator accelerates upward at $$3.0\ \mathrm{m/s^2$}. $$What is the tension in the rope?

Accepted Answer

$$26\ \mathrm{N}$$

Question 17

A $$1.0\ \mathrm{kg}$$ object moving along the x axis is acted upon by a force $$F$$ that varies with position as shown. What is the work done by the force as the object moves from $$x = 0 to$$ $$x = 8\ \mathrm{m}$$?

Accepted Answer

$$16\ \mathrm{J}$$

Question 18

A $$2.0\ \mathrm{kg}$$ block slides on a rough horizontal surface. A force $$F = 6.00\ \mathrm{N} is $$applied to the block as shown. The magnitude of the block's acceleration is $$1.20\ \mathrm{m/s^2$}. $$What is the coefficient of kinetic friction between the block and the surface?

Accepted Answer

$$0.18$$

PHYS 2005 Cumulative Final Exam Study Guide: Key Concepts and Practice Problems

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