Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 4, Problem 17P
To determine
Force required to bring the boat rest into
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Chapter 4 Solutions
Physics Fundamentals
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- A boat and its passengers have a combined mass of 5.10x10^2 kg. The boat is coasting into a pier at a speed of 1.00 m/s. How great a force is required to bring the boat to rest in 1.00x10^2 s?arrow_forwardA car weighing 2.5 metric tons and traveling at 90 km/h hits a 500 m long stretch of black ice. Unfortunately, due to skidding, neither accelerating nor braking has any effect on the speed! The driver manages to maintain steady straight direction of motion and the only impact is provided by the ice friction force, which is numerically equal to 4v² Newtons, where the velocity v of the car is measured in m/sec. (a) Using Newton's Second Law F = ma, set up a mathematical model for the position x(t) and velocity v(t) of the car as functions of time t. Start by drawing a diagram and choosing a consistent system of units based on kg, m, sec (1 ton = 1000 kg, 1 m/sec = 3.6 km/h, 1 N = 1 kg · m/sec²). Introduce and label the variables, show the units and write down the differential equations and the intial conditions. (b) Use the model in part a to calculate v(t) and x(t). Fully show the process of solving the initial value problems. (c) Based on your work so far, how long will it take to pass…arrow_forwardA net force of 3,000.0 N accelerates a car from rest to 37.4 km/h in 5.00 s. (a) What is the mass of the car? (b) What is the weight of the car? (а) т%3 x 10° kg sa (b) w = × 10ª N Nextarrow_forward
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- On a spending spree in Malaysia, you buy an ox with a weight of 28.9 piculs in the local unit of weights: 1 picul = 100 gins, 1 gin = 16 tahils, 1 tahil = 10 chees, and 1 chee =10 hoons. The weight of 1 hoon corresponds to a mass of 0.3779 g. When you arrange to ship the ox home to your astonished family, how much mass in kilograms must you declare on the shipping manifest? (Hint: Set up multiple chain-link conversions.)arrow_forwarda car of mass 2.0*10^3 kg is initialy moving at 21 m/s when the brakes are applied and the car is brought to stop in 25m. Assuming the force that the stops the car is constant, find the magnitude of that force that stop the car?arrow_forwardForce is defined as mass times acceleration. Starting with SI base units, derive a unit for force. Using SI prefixes, suggest a convenient unit for the force resulting from a collision with a 10-ton trailer truck moving at 55 mi per hour and for the force resulting from the collision of a molecule of mass around 10 - 20 kg moving almost at the speed of light (3 * 108 m/s) with the wall of its container. (Assume a 1-second deceleration time for both collisions.)arrow_forward
- 6.00k, with t in seconds and r in meters. An electron's position is given by 7 = 4.00tî – 5.00t2 ĵ + (a) In unit-vector notation, what is the electron's velocity v (t)? (Use the following as necessary: t.) V (t) = m/s (b) What is v in unit-vector notation at t = 5.00 s? v(t = 5.00) = m/s (c) What is the magnitude of v at t = 5.00 s? m/s (d) What angle does v make with the positive direction of the x axis at t = 5.00 s? ° (from the +x axis)arrow_forwardAn airliner of mass 1.70 * 105 kg lands at a speed of 75.0 m>s. As it travels along the runway, the combined effects of air resistance, friction from the tires, and reverse thrust from the engines produce a constant force of 2.90 * 105 N opposite to the airliner’s motion. What distance along the runway does the airliner travel before coming to a halt?arrow_forwardDuring a head on collision, the passengers in the front seat of a car accelerate from 13.3m/s to rest in 0.10s. The driver of the car held out their arm to stop their 25kg child from smashing into the dashboard. What force in pounds (1N = 0.225lbs) is needed to keep the child from moving?arrow_forward
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