Concept explainers
(a)
To find: the kinetic energy of a particle with
(a)
Answer to Problem 1Q
The kinetic energy of a particle with
Explanation of Solution
Given:
Calculation:
The kinetic energy of a particle can be determined using the equation of kinetic energy.
The kinetic energy:
Thus, the kinetic energy of a particle with
(b)
To find: the kinetic energy of a particle with
(b)
Answer to Problem 1Q
The kinetic energy of a particle with
Explanation of Solution
Given:
Calculation:
The kinetic energy of a particle can be determined using the equation of kinetic energy.
The kinetic energy:
Thus, the kinetic energy of a particle with
(c)
To find: the kinetic energy of a particle with
(c)
Answer to Problem 1Q
The kinetic energy of a particle with
Explanation of Solution
Given:
Calculation:
The kinetic energy of a particle can be determined using the equation of kinetic energy.
The kinetic energy:
Thus, the kinetic energy of a particle with
(d)
To find: the kinetic energy of a particle with
(d)
Answer to Problem 1Q
The kinetic energy of a particle with
Explanation of Solution
Given:
Calculation:
The kinetic energy of a particle can be determined using the equation of kinetic energy.
The kinetic energy:
Thus, the kinetic energy of a particle with
(e)
To find: the kinetic energy of a particle with
(e)
Answer to Problem 1Q
The kinetic energy of a particle with
Explanation of Solution
Given:
Calculation:
The kinetic energy of a particle can be determined using the equation of kinetic energy.
The kinetic energy:
Thus, the kinetic energy of a particle with
(f)
To find: the kinetic energy of a particle with
(f)
Answer to Problem 1Q
The kinetic energy of a particle with
Explanation of Solution
Given:
Calculation:
The kinetic energy of a particle can be determined using the equation of kinetic energy.
The kinetic energy:
Thus, the kinetic energy of a particle with
Since, all particle’s kinetic energy is same.
Hence, the rating of the kinetic energy is: a=b=c=d=e=f.
Want to see more full solutions like this?
Chapter 7 Solutions
FUNDAMENTALS OF PHYSICS
- If the speed of a particle is doubled, what happens to its kinetic energy? (a) It becomes four times larger. (b) It becomes two times larger. (c) It becomes 2 times larger. (d) It is unchanged. (e) It becomes half as large.arrow_forwardA dart is inserted into a spring-loaded dart gun by pushing the spring in by a distance x. For the next loading, the spring is compressed a distance 2x. How much faster does the second dart leave the gun compared with the first? (a) four times as fast (b) two times as fast (c) the same (d) half as fast (e) one-fourth as fastarrow_forwardAssume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 50 cm and holds it in position with a force of 150 N. If the mass of the arrow is 50 g and the “spring” is massless, what is the speed of the arrow immediately after it leaves the bow?arrow_forward
- A toy cannon uses a spring to project a 5.30-g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the cannon is fired, the ball moves 15.0 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 0 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? (b) At what point does the hall have maximum speed? (c) What is this maximum speed?arrow_forwardTwo blocks are connected by a light string that passes over a frictionless pulley as in Figure P5.38. The system is released from rest while m2 is on the floor and m1 is a distance h above the floor. (a) Assuming m1 m2, Find an expression for the speed of m1 just as it reaches the floor. (b) Taking m1 = 6.5 kg, m2 = 4.2 kg, and h = 3.2 m, evaluate your answer to part (a), and (c) find the speed of each block when m1 has fallen a distance of 1.6 m. Figure P5.38arrow_forwardWhy is the following situation impossible? In a new casino, a supersized pinball machine is introduced. Casino advertising boasts that a professional basketball player can lie on top of the machine and his head and feet will not hang off the edge! The ball launcher in the machine sends metal balls up one side of the machine and then into play. The spring in the launcher (Fig. P6.60) has a force constant of 1.20 N/cm. The surface on which the ball moves is inclined = 10.0 with respect to the horizontal. The spring is initially compressed its maximum distance d = 5.00 cm. A ball of mass 100 g is projected into play by releasing the plunger. Casino visitors find the play of the giant machine quite exciting.arrow_forward
- A block of mass m is dropped from the fourth floor of an office building and hits the sidewalk below at speed v. From what floor should the mass be dropped to double that impact speed? (a) the sixth floor (b) the eighth floor (c) the tenth floor (d) the twelfth floor (e) the sixteenth floorarrow_forwardTwo blocks are connected by a light string that passes over a frictionless pulley as in Figure P5.38. The system is released from rest while m2 is on the floor and m1 is a distance h above the floor. (a) Assuming m1 m2, Find an expression for the speed of m1 just as it reaches the floor. (b) Taking m1 = 6.5 kg, m2 = 4.2 kg, and h = 3.2 m, evaluate your answer to part (a), and (c) find the speed of each block when m1 has fallen a distance of 1.6 m. Figure P5.38arrow_forwardA block of mass 2.0 kg is attached to a spring whose spring constant is = 8 N/m. Theblock slides on an incline with θ = 37o. The block starts at rest with the spring unstretchedbefore sliding down a distance of 0.5 m down the incline. Assume that µk = 0.20.What is the velocity of the block as soon as it slides 0.5 m down the incline?arrow_forward
- 40. The spring in a dart gun has a spring constant of 20.0 N/m. The spring is compressed 8.00 x 10-2 m from its equilibrium position and used to launch a 1.00 x 10-2 kg plastic dart. Ignoring friction, what is the dart’s speed as it leaves the gun?A. 0.0640 m/sB. 3.58 m/sC. 7.21 m/sD. 12.8 m/sarrow_forward1. Side by side, two round objects are released from the top building, object 1 is released from rest, falls freely and reached an impact speed of 4m/s on the ground. Object 2 is released with an initial speed of 3m/s. What is the speed of object 2 when it reached the ground? a. 4 m/s b. 5 m/s c. 6 m/s d. 7 m/s e. 8 m/s 2. A person drops a hammer from the top of a boat’s vertical mast while the boat is moving rapidly and steadily straight forward. Where will the hammer hit the deck? a. ahead of the base of the mast b. behind the base of the mast c. at the base of the mast d. on the windward side of the base of the mastarrow_forwardAn Atwood's machine consists of two different masses, both hanging vertically and connected by an ideal string which passes over a pulley. Let the masses be M1 and M2 and M2 = 2M1. Initially, M1 is held fixed a distance y below M2. Find the speed of the blocks when they are the same elevation (that is, the same horizontal position, by then each block has moved y/2).arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University