Consider a small car of mass 1080 kg and a large sport utility vehicle (SUV) of mass 3960 kg. The SUV is traveling at the speed limit (v = 33 m/s). The driver of the small car travels so as to have the same kinetic energy as the SUV. Find the speed of the small car.

Consider a small car of mass 1080 kg and a large sport utility vehicle (SUV) of mass 3960 kg. The SUV is traveling at the speed limit (v = 33 m/s). The driver of the small car travels so as to have the same kinetic energy as the SUV. Find the speed of the small car.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 8CQ

See similar textbooks

Related questions

Q: 20. To determine the height of a pole across a road, Justin takes two measurements. He stands at…

Q: A block of mass m = 23kg is being pulled with forces F1 = 61N and F2 = 127N that are in opposite…

Q: 14. A 25.0 kg girl goes down a slide at an amusement park, reaching the bottom with a velocity of…

A: (b)The kinetic energy of the girl at the bottom of the slide can be given as:

Q: You are designing a ski jump ramp for the next Winter Olympics. You need to calculate the vertical…

Q: A bolt is dropped from a bridge under construction, falling 90 m to the valley below the bridge. In…

Q: What is the net force on this box? 76 N - 43 N FEN

A: Force in left direction:43î N and 55î NForce in right direction:-76î N

Q: Based on this FBD, select the 4 statements that accurately describe the motion of the object: Ffrict…

A: If we see clearly then&nbsp;Length of Fnorm is equal to Fgrav Length of Ffrict is applied in…

Q: 5. (Problem 22-23) A wire 2.80 m in length carries a current of 5.00 A in a region where a uniform…

Q: e. What is the velocity of the mass when it

A: Spring constant of the spring Mass attached to the spring,…

Q: A thin-walled, hollow spherical shell of mass m and radius r starts from rest and rolls without…

Q: A uniform horizontal disk of radius 5.50 m turns without friction at = 2.30 rev/s on a vertical axis…

Q: The 60 Hz ac source of a series circuit has a voltage amplitude of 120 V. capacitive and inductive…

Q: An 7.6 kg crate is pulled 4.7 m up a 30° incline by a rope angled 18° above the incline. The tension…

Q: The angle of incidence on a flat mirror is 74°. 1) What is the angle of reflection? (Express to 2…

A: The angle of incidence on the mirror is given as .Here the angle of refelction is to be calculated.

Q: A solenoid with 2,723 turns has a radius of 56.3 mm and is 33 cm long. If this solenoid carries a…

A: The number of turns of the solenoid is n = 2723The radius of the solenoid is r = 56.3 mm = 0.056…

Q: A flywheel in a motor is spinning at 530.0 rpm when a power failure suddenly occurs. The flywheel…

Q: Two 80 N forces are applied to opposite corners of a rectangular plate of length b and width a, as…

Q: Part A How should you define the system for a problem involving thermal energy? Select everything…

A: The laptop and the surface define the system for a problem involving the thermal energy.

Q: An archer stands on a cliff with his bow 32.5 meters above a valley and fires an arrow with a mass…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 7. Find the dot product between a force of 450 N directed at 20° north of east and a displacement of…

A: Magnitude of force F = 450 N Direction of force = 20° north of East Displacement = 15 m to north

Q: 3. Two masses are attached by a string. Mass M hangs freely while mass m is on an incline of 30°. M…

Q: 3. Salah walked 5.0 km [E], then another 4.0 km [W 60° N]. Use an accurate scale diagram determine…

Q: In the figure, an electron with an initial kinetic energy of 4.40 keV enters region 1 at time t-0.…

Q: How many antinodes will there be if the frequency is increased to 7 fo? n= 15. ΑΣΦ Ć Dome ?…

A: There are n antinodes for nth harmonic.

Q: Learning Goal: To find some of the parameters characterizing an object moving in a circular orbit.…

A: The centripetal force of the satellite in its orbit is given by:The gravitational force between the…

Q: A 72.0 kg swimmer jumps into the old swimming hole from a tree limb that is 3.75 m above the water.…

Q: Suppose you had water flowing through a horizontal pipe that with a radius of 30 cm and a speed of 4…

A: Apply the continuity equation between both portions and substitute the corresponding values to…

Q: Part A A 16 g particle is moving to the left at 29 m/s. How much net work must be done on the…

A: The objective of the question is to find out the amount of net work that must be done on a particle…

Q: Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0-m rope of negligible mass.…

A: d)Write the equation for the conservation of the angular momentum and substitute the corresponding…

Q: A candle is placed 21.63 cm in front of a convex mirror. When the convex mirror is replaced with a…

A: The distance of the candle is, u = - 21.63 cmThe distance of image motion is, a = 7.0 cm

Q: Particle A has half the mass and eight times the kinetic energy of particle B. What is the speed…

A: mA = 0.5mBKA = 8 KB

Q: A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now…

Q: 2) A standard motional emf setup in the xy consists of a constant, uniform magnetic field which…

Q: The mass density of a semicircular wire of radius (Figure 3) varies directly as the distance from…

Q: gure F max 0 X 0 2 4 6 8 10 1 of 1 t (ms) In the figure, what value of Fmax gives an impulse of 6.0…

Q: How much work is done lifting a 35 pound object from the ground to the top of a 30 foot building if…

Q: The practice problem is showing that 50.21 is not correct. Thank you for your help.

A: Water at a low temperature enters the water heater and the water heater converts electrical energy…

Q: The density of aluminum is 2.7 g/cm3. What is the mass of a cube of aluminum that is 5.592 cm on a…

A: The Density of a Material:The density of a substance, generally denoted as ρ, is defined as the…

Q: An 10.3-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m?) wire is being whirled in a…

A: Mass of the stone Young's modulus Tangential speed Length of the wire Radius of the wire

Q: 3. A a. A b. B C. C B D E In the picture of a roller coaster track shown below, the point where the…

A: According to conservation of mechanical energy -" the sum of potential energy and kinetic energy…

Q: The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in the figure…

A: Given:Precessional frequency, wp= τ /LTime Period, Tp = 2.58 X 104Mass of earth , Me = 5.97 X 1024…

Q: You are given the following four Resistors: R₁ = 102, R₂ = 50 Ω, R3 100 2, and R₁ = 200 2. {} when…

A: Resistors are given as , , and Find:(a) The net resistance when resistors are connected in…

Q: A circular swimming pool has a diameter of 14 m, the sides are 4 m high, and the depth of the water…

A: Given the diameter of the pool is 14 m. Therefore, the radius of the pool will be 7 m.The depth of…

Q: A large raindrop--the type that lands with a definite splat--has a mass of 0.014 g and hits your…

Q: A 1500 kg elevator, suspended by a single cable with tension 16.0 kN, measured to be moving upward…

A: The objective of the question is to determine whether the elevator is speeding up, slowing down, or…

Q: 5. A 1500 kg roller coaster car starts from rest at a point 45 m above the bottom of a dip. It then…

Q: A plane flying horizontally at an altitude of 1 mi and a speed of 450 mi/h passes directly over a…

A: Draw the schematic diagram of the system.Apply the Pythagoras theorem and substitute the…

Q: A curtain hangs straight down in front of an open window. A sudden gust of wind blows past the…

A: So we have given a conditionwhen a curtain hangs straight down in front of an open window and a…

Q: A force of F= (62 +43) N is applied on a 2-kg box that is originally resting at F1 = (32-23)m. If…

Q: A twin-engine aircraft can fly 1200 miles from city A to city B in 5 hours with the wind and make…

A: The aircraft can fly 1200 miles from city A to city B in 5 hours with the wind and make the return…

Concept explainers

Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.

Question

Consider a small car of mass 1080 kg and a large sport utility vehicle (SUV) of mass 3960 kg. The SUV is traveling at the speed limit (v = 33 m/s). The driver of the small car travels
so as to have the same kinetic energy as the SUV. Find the speed of the small car.
m/s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Calculation for kinetic energy of the large vehicle.

VIEW

Step 3: Calculation for speed of the small vehicle.

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 17 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An 8.0-g bullet has a speed of 800 m/s. (a) What is its kinetic energy? (b) What is its kinetic energy if the speed is halved?
Answer yes or no to each of the following questions. (a) Can an objectEarth system have kinetic energy and not gravitational potential energy? (b) Can it have gravitational potential energy and not kinetic energy? (c) Can it have both types of energy at the same moment? (d) Can it have neither?
A large cruise ship of mass 6.50 107 kg has a speed of 12.0 m/s at some instant. (a) What is the ships kinetic energy at this time? (b) How much work is required to stop it? (c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 2.50 km?
(a) What is the power output in watts and horsepower of a 70.0-kg sprinter who accelerates from rest to 10.0 m/s in 3.00 s? (b) Considering the amount of power generated, do you think a well-trained athlete could do this repetitively for long periods of time?
Suppose the ski patrol lowers a rescue sled and victim, having a total mass of 90.0 kg, down a 60.0° slope at constant speed, as shown in Figure 7.37. The coefficient of friction between the sled and the snow is 0.100. (a) How much work is done by friction as the sled moves 30.0 m along the hill? (b) How much work is done by the rope on the sled in this distance? (c) What is the work done by the gravitational force on the sled? (d) What is the total work done?
(a) Sketch a graph of the potential energy function U(x)=kx2/2+Aex2 where k , A, and are constants. (b) What is the force corresponding to this potential energy? (c) Suppose a particle of mass in moving with this potential energy has a velocity v when its position is x = . Show that the particle does not pass 2+2 through the origin unless Amv2=k22(1e a 2 ) .
Give an example of a situation in which there is a force and a displacement, but the force does no work. Explain why it does no work.
In the Back to the Future movies (https://openstaxcollege.org/l/2lbactofutclip), a DeLorean car of mass 1230 kg travels at 88 miles per hour to venture back to the future. (a) What is the kinetic energy of the DeLorean? (b) What spring constant would be needed to stop this DeLorean in a distance of 0.1m?
A person in good physical condition can put out 100 W of useful power for several hours at a stretch, perhaps by pedaling a mechanism that drives an electric generator. Neglecting any problems of generator efficiency and practical considerations such as resting time: (a) How many people ‘would it take to nm a 4.O0-kW electric clothes dryer? (b) How many people would it take to replace a large electric power plant that generates 800 MW?
“ E=K+Uconstant is a special case of the work energy theorem.” Discuss this statement.
Integrated Concepts (a) What force must be supplied by an elevator cable to produce an acceleration of 0.800 m/s2 against a 200-N frictional force, if the mass of the loaded elevator is 1500 kg? (b) How much work is done by the cable in lifting the elevator 20.0 m? (c) What is the final speed of the elevator if it starts from rest? (d) How much work went into thermal energy?
A shopper pushes a grocery cart 20.0 m at constant speed on level ground, against a 35.0 N frictional force. He pushes in a direction 25.0° below the horizontal. (a) What is the work done on the cart by friction? (b) What is the work done on the cart by the gravitational force? (c) What is the work done on the cart by the shopper? (d) Find the force the shopper exerts, using energy considerations. (e) What is the total work done on the cart?